StarWatch Camping Site
The holiday is just 9 weeks away and they
each plan to save £13 per week from now
Charge per person: £6 per night
until their holiday.
Will they save enough money to cover all
Tent pitch:
≤ 10 mª at £15 per night
their camping site charges?
(ground surface)
If the answer is 'yes' say how much extra
>
10 mª at £18 per night
money they will save.
You must show all your working.
Special offer:
For
every 5 nights you
stay, only pay for 4.
Lila and Wassim are planning a stay
at the StarWatch camping site.
They will:
share a tent between them,
both stay for a total of 10 nights,
use a tent with a rectangular base
measuring 2.3 by 4.2 metres.

StarWatch Camping SiteThe Holiday Is Just 9 Weeks Away And Theyeach Plan To Save 13 Per Week From NowCharge

Answers

Answer 1

Answer:

The total cost of their stay at the StarWatch camping site will be £108. This includes the special offer of 5 nights for the price of 4.

Lila and Wassim have saved £130 by the time of their holiday. This means they have saved £22 extra.


Related Questions

A recipe uses 5 cups of flour to 1-1/10 cups of milk. If you have two cups of flour, how much milk should you use.

Answers

The quantity of milk that should be used for the given amount of flour would be = 11/25

How to calculate the amount of milk to use for the recipe?

The following steps are being taken to calculate the amount of milk that would be needed for the recipe.

The number of cups of flour for 1⅒ of milk = 5

The quantity of milk needed for 2cups of flour= X

That is;

1⅒milk = 5 flour

X milk = 2 flour

cross multiply;

X milk = 2×1⅒/5

= 11/25

Learn more about fraction here:

https://brainly.com/question/30154926

#SPJ1

The sum of Jerry's and Carrie's ages is 52. Jerry is 4 years older than Carrie. What is Jerry's age?

Answers

X = Jerry’s age
4 + x = 52
X = 52-4 = 48
I hope it helps :)

Answer:

28

Step-by-step explanation:

let's assumed that

x = Jerry's age

y = Carrie's age

if Jerry 4 years older that Carrie

x = y + 4

x + y = 52

(y + 4) + y = 52

2y + 4 = 52

2y = 48

y = 24

x = y + 4

x = 24 + 4

x = 28

#CMIIW

A shirt company has 3 designs each of which can be made with short or long sleeves. There are 6 color patterns available. How many different shirts are available from this company?

Answers

Answer:

36 different shirts

-----------------

Given that there are 3 designs, 2 sleeve lengths, and 6 color patterns, we can multiply these values together:

3 designs × 2 sleeve lengths × 6 color patterns = 36

So, there are 36 different shirts available from this company.

There are 36 different types of shirt available for this company.

Given that;

Number of design Company has = 3

Number of color pattern available = 6

Types of shirt (short or long sleeves) = 2

Now, We need to find the number of different types of shirts are available from this company.

Since, the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).

Hence, By framing in equation form we get;

the number of different types of shirts is,

⇒ 3 × 6 × 2

⇒ 36

Therefore, We get;

There are 36 different types of shirt available for this company.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

What is 692837 divided by 28736

Answers

Answer:24.1104189866

Step-by-step explanation:

the answer to What is 692837 divided by 28736 is 24.1104189866

Intro
Nautilus Clothing's stock has a 50% chance of producing a 15% return, a 20%
chance of producing a 21% return, and a 30% chance of producing a -13% return.
Part 1
What is the stock's expected return?

Answers

To calculate the stock's expected return, we need to multiply the probability of each return by its corresponding percentage return, and then sum up the results.

Let's calculate it step by step:

Return 1: 15% * 50% = 0.15 * 0.5 = 0.075 (or 7.5%)
Return 2: 21% * 20% = 0.21 * 0.2 = 0.042 (or 4.2%)
Return 3: -13% * 30% = -0.13 * 0.3 = -0.039 (or -3.9%)

Now, let's sum up the results:

Expected return = 0.075 + 0.042 - 0.039 = 0.078 (or 7.8%)

Therefore, the stock's expected return is 7.8%.

STRUCTURE Gustavo sets up tables for a caterer on weekends. Each round table can seat 8 people. Each rectangular table can seat 10 people. One weekend, his boss asked him to set up tables for 124 people. He uses 2 more round tables than rectangular tables. Write a system of equations to find the number of round tables and rectangular tables Gustavo used. Then graph the system on a separate sheet of paper to solve the system. Let x = the number of round tables and let y = the number of rectangular tables. y = x+ x+ y= WHAT DO I PUT IN THE BOXES ​

Answers

The system of equation of the tables used is 8x + 10y = 124 and x = y + 2

He used 8 round tables and 6 rectangular tables

How to determine the system of equation of the tables used

From the question, we have the following parameters that can be used in our computation:

Each round table = 8 peopleEach rectangular table = 10 peopleTotal number of table = 124

Using the above as a guide, we have the following:

8x + 10y = 124

Where

x = round tables

y = rectangular tables

We understand that

He uses 2 more round tables than rectangular tables

This means that

x = y + 2

So, the system of equations is 8x + 10y = 124 and x = y + 2

The graph of the system is attached, where we have x = 8 and y = 6  

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

Graph

<
0
x<0x, is less than, 0.

Answers

The graph of the inequality is x < 0 and is plotted

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

A = x is less than 0

So , on simplifying , we get

x < 0

Hence , the inequality of x is all numbers less than 0 without including 0

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ1

c) Mrs. Chamling earns Rs 6,000 in a week. She spends Rs 250 for food Rs 75 for transportation everyday. (i) Write a mathematical expression to show this information. (ii) How much money does she save in a week? Cl LC and she divided the In this way, whole prime and compos of numbers, set of are the subset of 3.2 Prime and Prime numbe​

Answers

(i) The mathematical expression to show Mrs. Chamling's earnings and expenses can be written as:

Weekly earnings = Rs 6,000

Daily food expenses = Rs 250

Daily transportation expenses = Rs 75

Total weekly expenses = (Rs 250 + Rs 75) x 7 = Rs 2,275

Total weekly savings = Weekly earnings - Total weekly expenses

= Rs 6,000 - Rs 2,275

= Rs 3,725

(ii) Mrs. Chamling saves Rs 3,725 in a week.

As for the second part of the question, I am not sure what is being asked. The sentence is incomplete and unclear. Please provide more information or context so I can assist you better.

I NEED HELP WITH STATISCTICS

Answers

Answer:

20cm

Step-by-step explanation:

PLEASE HELP ON VOLUME! ASAP❗️ I BEG❗️❗️❗️

Answers

The volume of the cylinder A = 1006.76 m³

The volume of the cylinder B = 2893.82 ft³

The volume of the cylinder C = 2712.96 in³

The volume of the cylinder D = 111.78 in³

The Volume of the cylinder = πr²h

Where r = radius , h = height

A) r = 15/2 = 7.5

h = 5.7

Volume = 3.14 × (7.5)² × 5.7

Volume = 1006.76

B) r = 8

height = 14.4

Volume = 3.14 × (8)² × 14.4

Volume = 2893.82

C) r = 6

h = 24

Volume = 3.14 × (6)² × 24

Volume = 2712.96

D) r = 2

h = 8.9

Volume = 3.14 × (2)² × 8.9

Volume = 111.78

To know more about volume click here :

https://brainly.com/question/1578538

#SPJ1

Select the correct answer. Consider this quadratic equation. x2 + 1 = 2x – 3 Which expression correctly sets up the quadratic formula? A. B. C. D.

Answers

The expression x = (2 ± √(-12)) / 2 is negative, this quadratic equation does not have real solutions.

The quadratic formula, we need the quadratic equation in the form ax^2 + bx + c = 0. The given equation is x^2 + 1 = 2x - 3. To set it up correctly, we need to move all terms to one side of the equation to have a zero on the other side.

Rearranging the equation, we get x^2 - 2x + 4 = 0. Now we can identify the coefficients a, b, and c.

The correct expression to set up the quadratic formula is:

B) x = (-b ± √(b^2 - 4ac)) / (2a)

For the equation x^2 - 2x + 4 = 0, we have:

a = 1

b = -2

c = 4

Plugging these values into the quadratic formula, we have:

x = (-(-2) ± √((-2)^2 - 4 * 1 * 4)) / (2 * 1)

Simplifying further, we get:

x = (2 ± √(4 - 16)) / 2

x = (2 ± √(-12)) / 2

Since the expression inside the square root is negative, this quadratic equation does not have real solutions.

To know more about Square root .

https://brainly.com/question/428672

#SPJ11

Note the full question may be :

Consider the quadratic equation 2x^2 + 5x - 3 = 0. Which expression correctly sets up the quadratic formula?

A) x = (-b ± √(b^2 - 4ac)) / (2a)

B) x = (-b ± √(b^2 + 4ac)) / (2a)

C) x = (-b ± √(4ac - b^2)) / (2a)

D) x = (b ± √(b^2 - 4ac)) / (2a)

14. The graph below represents the number of books checked out at a library. What
is the constant of proportionality (unit rate per hour)?

Answers

The required constant of proportionality is 5.

A graph is shown, we have to find out the constant of proportionality.
In the given case, the constant of proportionality is given by the slope of the curve.

So, the slope is given as,
m = rise/run

From the graph put the value  for any point, we choose (2, 10)

So,
m = 10/2
m = 5

Thus, the required constant of proportionality is 5.

Learn more about proportionality here:

https://brainly.com/question/29126727

#SPJ1

p, q and r are prime numbers such that pqr3=270.
Work out the values of p, q and r.
b. Work out the highest common factor of 270 and 105.

Answers

The highest common factor of 270 and 105 is 15.

How to find the highest common factor

finding the prime factorization of 270.

The prime factorization of 270 can be written as:

270 = 2 * 3^3 * 5

From the equation pqr^3 = 270, we can see that p, q, and r are prime numbers. Therefore, p must be 2, q must be 3, and r must be 5.

So the values of p, q, and r are:

p = 2

q = 3

r = 5

Moving on to part B, let's work out the highest common factor (HCF) of 270 and 105.

The prime factorization of 270 is:

270 = 2 * 3^3 * 5

The prime factorization of 105 is:

105 = 3 * 5 * 7

To find the HCF, we need to find the common factors and choose the highest one.

The common factors of 270 and 105 are 3 and 5.

The highest common factor of 270 and 105 is 3 * 5 = 15.

Therefore, the highest common factor of 270 and 105 is 15.

Learn more about common factor at https://brainly.com/question/219464

#SPJ1

The scatterplot above displays the relationship between the amount of food hippopotamuses eat per day and their age. Describe and explain any associations and data features on the scatterplot. Then, use the variables on the graph to interpret the relationship that is shown.

Answers

The scatter plot shows a [positive linear] association.

How to determine the association of the scatterplot

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

Read more about scatter plot at

brainly.com/question/16920148

#SPJ1

What is the total cost of 20 books at R25 each?

Answers

Answer:

R500

Step-by-step explanation:

20 books x R25 each = R500.

Harper recorded the heights of plants, in inches, as shown in the table.
nd the mean of the data.
11 12 13 14 15 16 17 18 19 20 21
Heights of Plants (in.)

Answers

The mean height of the plants whose heights are shown by the data set is 16 in.

Calculation of mean

To find the mean:

Sum of the values = 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 = 176

Total number of values = 11 (since there are 11 values in the data set)

Mean = Sum of the values / Total number of values

          = 176 / 11

          = 16

In other words, the mean of the given data set is 16 in and thus, the mean height of the plant is 16 in.

More on mean can be found here: https://brainly.com/question/31101410

#SPJ1

Which of the following circles have their centers on the x-axis?
Check all that apply.
A. (x-4)2 + (y-0)² = 22
B. (x-0)2 + (v-0)² = 25
C. (x + 1)² + (y-7)² = 16
D. (x-0)2 + (v-5)2 = 49

Answers

The equations of the circles that have centers on the x-axis are;

A. (x - 2)² + (y - 0)² = 22

B. (x - 0)² + (y - 0)² = 25

What is the general form of the equation of a circle?

The equation of a circle is; (x - h)² + (y - k)² = r², where;

(h, k) = The coordinates of the center of the circle

r = The radial length of the circle

The center of the circle is on the x-axis when the y-coordinate of the center of the circle is; k = 0, therefore, the circle that have their centers on the x-axis are the circles with the term (y - 0)²

The option of the circle that has the term (y - 0)² are the first and second option, where the v is actually a y; option A and .

The correct option is therefore;

A. (x - 4)² + (y - 0)² = 22

B. (x - 0)² + (y - 0)² = 25

Learn more on the equation of a circle here: https://brainly.com/question/30989368

#SPJ1

Please help me out on this question

Answers

The relative frequency distribution is:

Income ($) | Frequency Relative | Frequency200-300 | 51 | 18.82%301-400 | 58 | 21.40%401-500 | 74 | 27.30%501-600 | 69 | 25.46%More than 600 | 19 | 7.01%

The correct option is A.

What is a relative frequency?

A relative frequency is the proportion of the total number of outcomes to the number of times a certain value of the data happens in the set of all outcomes.

Relative frequency = frequency of given data/total frequency * 100%

The relative frequency distribution of the given data is constructed below:

Total number of students = 51 + 58 + 74 + 69 + 19

Total number of students = 271

The relative frequency of each class interval will be:

200-300; 51/271 * 100% = 18.82%

301-400; 58/271 * 100% = 21.40%

401-500; 74/271 * 100% = 27.30%

501-600; 69/271 * 100% = 25.46%

More than 600; 19/271 * 100% = 7.02%

Learn more about a relative frequency at: https://brainly.com/question/3857836

#SPJ1

You deposit $5000 in an account earning 6% interest compounded monthly. How much will you have in the
account in 15 years?

Answers

Answer:

$12270.46

----------------------

Use the compound interest formula:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A = final amount;P = initial deposit = $5000;r = annual interest rate = 6%;n = number of times the interest is compounded per year = 12;t = time period in years = 15.

Plugging in the values, we get:

A = 5000(1 + 0.06/12)¹²*¹⁵ A = 12270.46

Find the percentage and round to the nearest hundredth

7.2% of $ 8,650,00

Answers

The percentage is given by the expression A = ( 7.2 % ) ( 8650.00 ) and the value of A = $ 622.80

Given data ,

Let the initial amount be represented as P

Now , the value of P is

P = $ 8,650.00

On simplifying the equation , we get

Let the percentage value be d = 7.2 %

On simplifying the percentage , we get d = 0.072

So , A = 0.072 ( 8,650.00 )

Multiplying the expression , we get

A = $ 622.80

Therefore , the value of A is A = $ 622.80

Hence , the expression is A = $ 622.80

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ1

Please help. Any unnecessary answers will be reported.

You are in a competition that involves building card towers. The quickest person to reach 100 stories wins the competition. After reaching 5 stories of cards as shown in the picture below, you needed to use 40 cards.
How many cards will be necessary to build , in a similar way, a tower with 100 stories. Make sure you include work.

Answers

Answer:

To determine the number of cards necessary to build a tower with 100 stories, let's analyze the pattern observed in the given information.

From the information provided, we know that building 5 stories of cards required 40 cards. Now, let's examine the relationship between the number of stories and the number of cards used:

Number of stories: 5

Number of cards used: 40

To find the number of cards needed for 100 stories, we can calculate the ratio of the number of stories to the number of cards used for the 5-story tower and then apply that ratio to the target number of stories (100).

Ratio = Number of stories / Number of cards used

Ratio = 5 / 40

Now, we can use this ratio to calculate the number of cards needed for 100 stories:

Number of cards for 100 stories = Ratio * Number of stories

Number of cards for 100 stories = (5 / 40) * 100

Calculating the result:

Number of cards for 100 stories = (0.125) * 100

Number of cards for 100 stories = 12.5

Since it is not possible to use a fraction of a card, we need to round up to the nearest whole number. Therefore, we would need a minimum of 13 cards to build a tower with 100 stories using a similar pattern.

Please note that the actual number of cards required may vary depending on the specific construction technique and stability of the tower.

Can someone help me? The velocity of a sound in air is given by the equation v=20 radical273+t where v is the velocity in meters per second and t is the temperature in degrees Celsius find the temperature when the velocity is 348 meters per second round the answer to the nearest degree

Answers

when the velocity is 348 meters per second, the approximate temperature is 18 degrees Celsius.

How to find the temperature when the velocity is 348 meters per second

To find the temperature when the velocity is 348 meters per second, we can substitute the given velocity into the equation v = 20√273 + t and solve for t.

Given: v = 348 meters per second

Substituting this value into the equation:

348 = 20√273 + t

Now, let's solve for t. We can start by isolating the term with t:

t = 348 - 20√273

Calculating the value:

t ≈ 348 - 20 * 16.523

t ≈ 348 - 330.46

t ≈ 17.54

Rounding the answer to the nearest degree, we have:

t ≈ 18 degrees Celsius

Therefore, when the velocity is 348 meters per second, the approximate temperature is 18 degrees Celsius.

Learn more about velocity at https://brainly.com/question/80295

#SPJ1

HELP PLS DUE IN 5 MINUTES!!!!!!!!!!

Answers

Answer:

Consider the following claim: Group behavior can increase the chances for an individual and a species to survive and reproduce.

Consider the following claim: Group behavior can increase the chances for an individual and a species to survive and reproduce.

Consider the following claim: Group behavior can increase the chances for an individual and a species to survive and reproduce.

Consider the following claim: Group behavior can increase the chances for an individual and a species to survive and reproduce.

Consider the following claim: Group behavior can increase the chances for an individual and a species to survive and reproduce.

Consider the following claim: Group behavior can increase the chances for an individual and a species to survive and reproduce.

Step-by-step explanation:

Help me with this problem please.

Answers

The product of matrices A and B are:

[tex]AB = \left[\begin{array}{ccc}-50&7\\44& -10\\\end{array}\right][/tex]

[tex]BA = \left[\begin{array}{ccc}-12&-30\\-16& -48\\\end{array}\right][/tex]

How to find the product of two matrices?

A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.

The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.

The product of matrices A and B are:

AB = A * B

[tex]AB = \left[\begin{array}{ccc}-3&-8\\2& 8\\\end{array}\right] * \left[\begin{array}{ccc}6&3\\4& -2\\\end{array}\right][/tex]

To get the product, multiply each row by the column. That is:

(-3 * 6) + (-8 * 4) = -50

(-3 * 3) + (-8 * (-2)) = 7

(2 * 6) + (8 * 4) = 44

(2 * 3) + (8 * (-2)) = -10

[tex]AB = \left[\begin{array}{ccc}-50&7\\44& -10\\\end{array}\right][/tex]

BA =  B * A

[tex]BA = \left[\begin{array}{ccc}6&3\\4& -2\\\end{array}\right] * \left[\begin{array}{ccc}-3&-8\\2& 8\\\end{array}\right][/tex]

To get the product, multiply each row by the column. That is:

(6 * (-3)) + (3 * 2) = -12

(6 * (-8)) + (3 * 8) = -30

(4 * (-3)) + ((-2) * 2) = -16

(4 * (-8)) + ((-2) * 8) = -48

[tex]BA = \left[\begin{array}{ccc}-12&-30\\-16& -48\\\end{array}\right][/tex]

Learn more about matrices on:

brainly.com/question/11989522

#SPJ1

Can someone help find the surface area, then round the answer to the nearest whole number please?

Answers

The Surface Area of cylinders are: 100 yd² , 264 m², 226  mm²

The Surface Area of Can is 219 cm².

We know the formula for Surface Area of Cylinder

= 2πrh

1. Radius = 2 yd

Height = 8 yd

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 2 x 8

= 100 yd²

2. Radius = 7 m

Height = 6 m

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 6 x 7

= 264 m²

3. Radius = 3 mm

Height = 12 mm

So,  Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 3 x 12

= 226  mm²

4. Radius = 3.5 cm

Height = 10 cm

So, Surface Area of Can

= 2πrh

= 2 x 3.14 x 3.5 x 10

= 219 cm²

Learn more about Surface area here:

https://brainly.com/question/2835293

#SPJ1

A TV station is going to air a movie marathon with 11 movies. It will consist of 6 science fiction movies and 5 horror movies. The horror movies will be aired later in the evening. So, all of the horror movies will be aired last (after all of the science fiction movies). In how many ways can the station air the movie marathon?

Answers

The solution is: In 86400 ways can the station air the movie marathon.

Given:

Number of total movies = 11

Number of science fiction movie = 6

Number of horror movie = 5

Computation:

Number of science fiction movies way air = 6!

so, we get,

Number of science fiction movies way air = 720

Number of horror movies way air = 5!

so, we have,

Number of horror movies way air = 120

The number of ways the station air the movie marathon is:

720 * 120

=86400

so, we get,

Final answer is 86400 ways.

Hence, The solution is: In 86400 ways can the station air the movie marathon.

To learn more on combination click:

brainly.com/question/10699405

#SPJ1

four students are trying to find the rule that translates point N(-2,-4) to N'(2,4)

Answers

The student that gets the rule of the transformation correctly is Raheem

How to determine the student that gets the rule correctly

From the question, we have the following parameters that can be used in our computation:

Point N = (-2, -4)

Image of the point N = (2, 4)

This means that

N = (-2, -4)

N' = (2, 4)

From the above, we can see that

N' = -1 * N

This means that

N' = (-2, -4) * -1

So, we have

N' = (-2* -1 , -4 * -1)

So, the rule is (x * -1, y * 1)

Hence, the student that gets the rule correctly is Raheem

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Question

Four students are trying to find the rule that translates point N(-2,-4) to N'(2,4). Each student’s reasoning is shown below.

Raheem: The rule is (x * -1, y * -1)

Casey: The rule is (x + 2, y + 4)

Andrew: The rule is (x + 4, y + 0)

Lo: The rule is (x + 4, y + 8)

Which student is correct?

Raheem

Casey

Andrew

imagine that a friend asks you for investment advice. he bas $10,000 to invest and he has about 35 years before he will be ready for his financial goal of early retirement. what types of investments would you recommend to your friend? why? what other investing advice would you give him to help him achieve his financial goals?

Answers

When it comes to long-term investment goals like early retirement, it is generally recommended to focus on investments that offer potential growth over an extended period of time. Here are some investment options and advice that could be beneficial for your friend:

Stock market investments: Investing in a diversified portfolio of stocks can provide the potential for long-term growth. Your friend can consider investing in individual stocks or exchange-traded funds (ETFs) that represent a basket of stocks.

Mutual funds: Mutual funds offer diversification by pooling money from multiple investors to invest in a variety of assets. They are managed by professionals who make investment decisions on behalf of the investors.

Index funds: Index funds are a type of mutual fund that aims to replicate the performance of a specific market index, such as the S&P 500. They offer broad market exposure and generally have lower expense ratios compared to actively managed funds.

Retirement accounts: Encourage your friend to take advantage of tax-advantaged retirement accounts like a 401(k) or an individual retirement account (IRA). These accounts provide tax benefits and can help grow savings faster.

Dollar-cost averaging: Advising your friend to invest regularly, regardless of market conditions, through a strategy called dollar-cost averaging can help mitigate the impact of market volatility. By investing a fixed amount at regular intervals, your friend will buy more shares when prices are low and fewer shares when prices are high.

Rebalancing: As time goes on, it's important to periodically review and rebalance the investment portfolio. This involves adjusting the asset allocation to maintain the desired level of risk and return. Regularly rebalancing ensures that the investments stay aligned with the financial goals and risk tolerance.

Emergency fund: Remind your friend about the importance of building an emergency fund with three to six months' worth of living expenses. This will provide a safety net and help prevent the need to tap into long-term investments during unforeseen circumstances.

Seek professional advice: Depending on your friend's knowledge and comfort level with investing, it may be helpful to recommend consulting with a financial advisor who can provide personalized advice based on their specific financial situation and goals.

Remember, investing involves risks, and it's crucial for your friend to carefully evaluate investment options, consider their risk tolerance, and have a long-term perspective. Regularly monitoring and adjusting the investment strategy over time will help ensure progress towards achieving their financial goals.

100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!

Answers

The exact value of the expression tan 15⁰ is determined as 2 - √3.

What is the exact value of the expression?

The exact value of the expression is calculated by applying trigonometry identity as shown below;

The trig ratio is simplified as;

SOH CAH TOA;

SOH ----> sin θ = opposite side / hypothenuse side

CAH -----> cos θ = adjacent side / hypothenuse side

TOA ------> tan θ = opposite side / adjacent side

The given trigonometry expression;

tan 15⁰

The expanded trigonometry expression;

tan 15⁰  = tan (60 - 45)

Apply tan addition formula;

tan(A - B) = (tan A - tan B) / (1 + tan A×tan B).

Simplify as follows;

tan (60 - 45) = (tan 60 - tan 45) / ( 1 + tan60 x tan45)

tan 60 = √3

tan 45 = 1

Substitute this value back into the tan formula;

tan (60 - 45) =  (√3 - 1 ) / ( 1 + √3)

Rationalize the surd expression as follows;

(√3 - 1 ) / (√3 + 1)  x (√3 - 1 ) / (√3 - 1 )

= ( 4 - 2√3) / 2

= 2 - √3

Learn more about trig ratios here: https://brainly.com/question/10417664

#SPJ1

Find the solution set for the equation. |9x-5|+3=8

Answers

Answer: 10/9, 0

Step-by-step explanation:

Other Questions
Item response theory is to latent trait theory as observer reliability is to:In the test-retest method to estimate reliability:Reliability, in a broad statistical sense, is synonymous with: lysyl oxidase is an enzyme that links lysine amino acids in adjacent proteins together in a process called crosslinking. you would expect this enzyme to be found most commonly in ____ A soap film (n = 1.33) is 772 nm thick. White light strikes the film at normal incidence. What visible wavelengths will be constructively reflected if the film is surrounded by air on both sides? auditors should test the reasonableness of sales tax payable by Select the correct answer from each drop-down menu. A graph of quadrilateral 1 with the nodes of (minus 3, 7), (minus 4, 9), (minus 7, 9), and (minus 4, 5). Transformation of quadrilateral 2 with the nodes of (3, minus 4), (3, 6), (8, 2.8), and (7.2, minus 1.9). Quadrilateral 1 and quadrilateral 2 are polygons that can be mapped onto each other using similarity transformations. The transformation that maps quadrilateral 1 onto quadrilateral 2 is a followed by a dilation with a scale factor of . Which of the following is NOT an effect of urbanization in Latin AmericaA:The growth of cities has been unplanned, so governments cannot provide services for allB: Water scarcity is decreasingC:Many cities have some of the worst air quality in the worldD:Improper ware disposal is increasingly an issue The Kb value of the oxalate ion, C2O42-, is 1.9 10-10. Is a solution of K2C2O4 acidic, basic, or neutral? Explain by selecting the single best answer. Select answer from the options below Neutral, because the K2C2O4 does not dissolve in water. Neutral, because K2C2O4 is a salt formed when oxalic acid is neutralized by KOH. Acidic, because the oxalate ion came from oxalic acid. None of these. Basic, because the oxalate ion hydrolyzes in water. At the start of the , the unemployment rate increased from 1. 5 million to 15 million, and the of the country decreased from $104 billion to $59 billion suppose that the aggregate demand and aggregate supply schedules for a hypothetical economy are as shown in the following table. lo12.5 a laser emits a narrow beam of light. the radius of the beam is 7.8 mm, and the power is 3.8 mw. what is the intensity of the laser beam? connies cakes wants to know how much and when cash went out last year. which is the best financial statement to find this information? What are 5 different things the sharecropper is responsible for? five people walk into a movie theater and look for empty seats in which to sit. what is the number of ways the people can be seated if there are 8 empty seats? an ideal otto cycle with a specified compression ratio is executed using (a) air, (b) argon, and (c) ethane as the working fluid. for which case will the thermal efficiency be the highest? why? the ability to make sizable and strategically placed campaign contributions helps interest groups ______. for experiment 2, calculate the concentration of no remaining when exactly one-half of the original amount of h2 had been consumed. discuss research related to stereotypes.discuss the formation or effects of stereotypes. Accessing a struct's data members. Write a statement to print the data members of InventoryTag. End with newline. Ex: if itemID is 314 and quantityRemaining is 500, print: Inventory ID: 314, Qty: 500 1 test passed All tests passed 1 #include 2 3 typedef struct InventoryTag_struct { 4 int itemID; 5 int quantityRemaining; } InventoryTag; 2 8 int main(void) { 9 InventoryTag redSweater; 10 11 scanf("%d", &redSweater.itemID); 12 scanf("%d", &red Sweater quantityRemaining); 13 \* Your solution goes here */ 15 16 return 0; 17 } Run Feedback? How was this section? t Provide feedback why do you think schedule issues often cause the most conflicts on projects? how can you minimize or control changes to project schedules? The market rate of interest is higher than the stated rate of interest on bonds issued by Dax, Inc. At what amount will the bonds be issued?a. At a premiumb. More information is needed to determine the answer.c. At an amount lower than face valued. At an amount higher than face value