When Gemma was born, her grandmother invested $200 000 in a building society for her. Find the value of this investment after 18 years if the interest rate is 4% per year and the interest is compounded quarterly.

Answers

Answer 1

Answer:

570.87

Step-by-step explanation:


Related Questions

Find 3 equivalent fractions to this number. 16/40

Answers

Answer:

[tex]\frac{8}{20}[/tex] , [tex]\frac{4}{10}[/tex] , [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

to find equivalent fractions multiply or divide the numerator and denominator by the same value.

[tex]\frac{16}{40}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{8}{20}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{4}{10}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{2}{5}[/tex] ← in simplest form

Iman had twice as much money as Daphne at first. After Iman had spent $128 of her money on a bag and Daphne had spent $40 of her money on a dress, they had an equal amount of money left. How much money did each of them have left? pls help me.​

Answers

Step-by-step explanation:

x = Iman's money

y = Daphne's money

x = 2y

x - 128 = y - 40

now we use the first equation as identity in the second equation and get

2y - 128 = y - 40

y - 128 = -40

y = $88

x = 2y = $176

these were the starting values.

now, after spending, they have both left

176 - 128 = 88 - 40 = $48

The length of a rectangle is 5m longer than its width.

If the perimeter of the rectangle is 74m, find its length and width.

Answers

Step-by-step explanation:

P = 2(L + B ), but L = B + 5. so,

P = 2(B+ 5 + B ), B = 16 & L = 21.

sale price: $66.30 percent of discount: 65%
find the regular price​

Answers

Answer:

$189.43

Step-by-step explanation:

P = regular price

65% as a decimal = [tex]\frac{65}{100}[/tex] = .65

Discount = .65

To get the amount of the discount we would multiply P * .65

To find the sale price we subtract the discount from the original price.

Now we write our equation:

P - P(.65) = $66.30  

Solve for P

P - P(.65) = $66.30  

1P - P(.65) = $66.30  

1P - .65P = $66.30  

.35P = 66.30   Divide each side by .35

.35P.35 = 66.30/.35

P = 66.30/.35

P ≈ $189.43

for the function f(x)=1/2(x-3)2 +6, what is the value of f(2)

so basically solve f(2)=1/2(x-3)2 +6

the third two is a small two btw next to x-3

Answers

the answer is 7 i think.
1/2 times 2 = 1, 1/2 times 3= 1.5
(1-1.5)2+6
(-0.5) 2 + 6
1+6=7


Coach Harns wanted to buy new basketballs. He has a $200 budget to purchase
basketballs. He found 40 basketballs for $300. Coach Cary gave him a coupon
for 45% off. What is his new price and can he purchase the 40 basketballs?
Original:
Discount:
New price:




Helppp me.

Answers

original- $300
discount- $135
new price- $165
The new price for 40 basketballs is $165, coach Harns can buy these balls because they fit into his budget.
Hope this helps:)

Can anyone help me on this question?

Answers

Answer:

B

Step-by-step explanation:

The definition of an inverse is a reflection over y=x.

match the google drive applications to its best use.​

Answers

Answer:i need brainy answered sorry

Step-by-step explanation:sorry

Answer:

first google docs second google sheets

Step-by-step explanation:

first google docs second google sheets third google forms forth google drawing 5th google maps 6th google slides

Carlos is using a number line to add another integer to –4. He begins by showing –4 on the number line, as shown below. Carlos adds the other integer on the number line and says that the sum is negative.

A number line going from negative 5 to positive 5. The area between negative 4 to 0 is highlighted.


Which is true of the number Carlos added to –4?
The number must be a negative integer.
The number must be a positive integer.
The number could be 3 or any integer less than 3.
The number could be 4 or any integer greater than 4.

Answers

Answer:

The number must be a negative integer because -4+ any negative is a negative

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

40% of 40
Percentage of whole numbers (10-100)

Answers

Hello

40% de 40

(40*40)/100 =>16


Help please!!! Algebra 3, Find Tan 0

Answers

Answer:

Step-by-step explanation:

Express as a sum

a-5

(please give explanation too)

Answers

The sum is a+1*(-5)  since you have a multiplication with different signs (+ -).

Multiplication Sign Rules

The rules to multiplication of numbers are:

+  +  or  -   -

      The result presents a positive sign (+) because the signs are same.

+  - or   -   +

     The result presents a negative sign (-) because the signs are different.

The given function is a linear equation with one variable (a). You can rewrite the expression  a-5 as a sum. See below.

a+ 1*(-5) =a-5  since when you have a multiplication with different signs  (+ -).

Read more about rules for multiplication  here:

https://brainly.com/question/16119150

please help me asap​

Answers

Answer: D. The moon is located perpendicular to Earth and the sun.

Step-by-step explanation: I studied astronomy. :)

When drawing a card, find the probability of drawing a spade or selecting a number less
than five.

Answers

Answer:

Therefore, there 16 chances of getting a spade OR a five.

Step-by-step explanation:

scott wants to rent a boat and spend at most $79. The boat costs 8 per hour, and Scott has a discount coupon for $9 off. What are the possible numbers of hours Scott could rent the boat?

Answers

Answer:

11 hours

Step-by-step explanation:

Using the $79 dollars, Scott can get up to 9 hours with the boat. Scott will be left with $7, adding the $7 to the $9 coupon, Scott will then have $16 which can give Scott an additional 2 hours summing the total hours up to 11 hours Scott can rent the boat for.

lines M and N are parallel which angle has a measure of 110

a.1
b.2
c.3
d.4

Answers

Answer:

B. angle 2

Step-by-step explanation:

Angle 2 is opposite to the 110 degrees, and opposite angles are congruent
Hope this helps :)

8
9
10
TIME REMAINING
14:56
SERE
The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this
information at certain times during a given day. The following temperatures were recorded on a January day in New York
City.
Time of Day
10 AM 12 Noon 2 PM 4 PM 16 PM
SPM 10 PM
Temperature (°F) 30 35 36 36 34 30 28
a.
What is the average rate of change of temperature with respect to time over the evening hours from 6 PM to 10 PM?
Interpret this value in a complete sentence.
6°F degrees per hour; The temperature drops at an average rate of 6 degrees per hour from 6
PM to 10 PM
b. -6°F degrees per hour: The temperature drops at an average rate of 6 degrees per hour from 6
PM to 10 PM
C.
-1.5°F degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour
from 6 PM to 10 PM.
d. 1.5°F degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from
6 PM to 10 PM
Mark this and return
Save and Exit
Nex
Submit
cript:void(0)

Answers

Answer:

D. 0.019 years of age per year

Step-by-step explanation:

What is the value of 3n at n = 11

Answers

Answer:

33

Step-by-step explanation:

replace n with 11 and multiply 3x11

Please solve with explanation

Answers

Answer:

a) x=-a, x=a+b

b) x=5/2a, x=1/3b

c) x=1/2a, x=a/a-2

Step-by-step explanation:

a) (x-a)(x-a)-b(x+a)=0

   (x+a)(x-a-b)=0

   x=-a, x=a+b

b) 3x(2x-5a)-b(2x-5a)=0

   (2x-5a)(3x-b)=0

   x=5/2a, x=1/3b

c) (2a-4)x^2=a^2(x-1)

   (2x-a)(ax-2x-a)=0

find the multiplication inverse of 3/5.​

Answers

Answer:

[tex] \frac{5}{3} [/tex]

Step-by-step explanation:

[tex]let \:the \: multiplicative \: inverse \: be : x \\ then \: \frac{3}{5 } \times x = 1 \\ \frac{3x}{5} = \frac{1}{1} \\ 3x \times 1= 5 \times 1 \\ 3x = 5 \\ x = \frac{5}{3} [/tex]

♨Rage♨

exercise 15 b i will mark u as brainlist​

Answers

Let x = Ball , Good luck!

15b

10 balls...........200

15 balls.......... = 15x200 : 10 = 300

Rs 300 for 15 balls

how do i write 2y+10x=-4 in slope intercept form

Answers

Slope intercept form is y=Mx+b
Answer:
Y=-5x-2

Write an equation describing the relationship of the given variables.

y varies directly as the fourth power of x and when x=3, y=162.

y =

Answers

Answer:

[tex]y = 2x^4[/tex]

Step-by-step explanation:

The given statement can be represented as:

[tex]y\ \alpha\ x^4[/tex]

[tex]x =3; y = 162[/tex]

Given

Represent this as an equation

[tex]y\ \alpha\ x^4[/tex]

Convert variation to equation

[tex]y = kx^4[/tex]

Where k is a constant of variation.

Substitute [tex]x =3; y = 162[/tex]

[tex]162 = k * 3^4[/tex]

[tex]162 = k * 81[/tex]

Solve for k

[tex]k = 162/81[/tex]

[tex]k =2[/tex]

To get the equation, we have:

[tex]y = kx^4[/tex]

Substitute 2 for k

[tex]y = 2x^4[/tex]

The equation describing the relationship of the given variables is [tex]y=\frac{81}{162}x^4[/tex]

If y varies directly to the fourth power of x, this can be expressed as:

[tex]y \alpha x^4\\y=kx^4\\[/tex]

Given that x = 3 and y = 162, the equation becomes;

[tex]162 = k(3^4)\\162 = 81k\\k=\frac{81}{162}[/tex]

Substitute the value of k into the expression above to have:

[tex]y=kx^4\\y=\frac{81}{162}x^4[/tex]

Hence the equation describing the relationship of the given variables is [tex]y=\frac{81}{162}x^4[/tex]

Learn more on direct variation here: https://brainly.com/question/6499629

lewis can run a 40-yard dash in 4.8 seconds. On average, how many feet does he run per second?

Answers

over 5 seconds, a guy that runs a 4.4 runs about 5 extra yards further than a guy running a 4.9

A man won a lotto jackpot and he spent 2/5 of the money on luxury cars and 1/4 on buying a house. What fraction of his lotto earnings is remaining​

Answers

spent : 2/5 + 1/4 = 8/20 + 5/20 = 13/20

remains = 7/20

The 7/20th fraction of his lotto earnings is remaining.

Let us say the man has $100

Money spent on luxury cars = 2/5 of the money

Money spent on luxury cars = 2/5 * 100 = $40

Money spent on buying a house = 1/4 of the money

Money spent on buying a house = 1/4 * 100 =$25

Money left with the man = 100-40-25 = $35

$35 is what fraction of $100?

$35 is 35/100 fraction of $100.

35/100 = 7/20

So, the 7/20th fraction of his lotto earnings is remaining.

Hence, the 7/20th fraction of his lotto earnings is remaining.

To get more about fractions visit:

https://brainly.com/question/78672

Find the height of the Eiffel Tower.

Answers

Answer:

The tower itself is 300 metres (984 feet) high. It rests on a base that is 5 metres (17 feet) high, and a television antenna atop the tower gives it a total elevation of 324 metres (1,063 feet).

What formula to use for determining the probability that the mean stress level for a sample of 70 employees will fall above 52? (mean =50; STD 10)

Answers

Answer:

0.4207

Step-by-step explanation:

Determine z-score

[tex]z=\frac{\bar{x}-\mu}{\sigma/\sqrt{n}}\\ \\z=\frac{52-50}{10/\sqrt{70}}\\ \\z\approx1.6733[/tex]

Find P(Z>1.6733)

[tex]P(Z > 1.6733)=normalcdf(1.6733,\infty)\approx0.4207[/tex]

Therefore, the probability that the mean stress level for a sample of 70 employees will fall above 52 is 0.4207

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

45°
60°
120°
135°

Answers

[tex]x + y = 90[/tex]

[tex]x = 3y[/tex]

[tex]3y + y = 90[/tex]

[tex]4y = 90[/tex]

[tex]y = 15[/tex]

[tex]x = 3(15) = 45[/tex]

Answer:

45 °

Step-by-step explanation:

Knowing that:

Supplementary Angle = 180 °

Angle x is 3 time the measure of angle y.

Solve:

Equation below:

x + y = 180

x = 3y

Substitute

3y + y =180

4y = 180

Divide both sides by 4

4y/4 = 180/4

y = 45

Value of x:

x = 3 × 45

x = 135

Therefore the measure of angle x is 135.

x = 45

y = 135

~Lenvy~

Simplify 6 - 23 + (-9 + 5) · 2.

Answers

6 - 23 + (-9+5) * 2

-17 + (-4)*2

-17 + (-8)

-17 - 8

-25

Answer:

-25

Step-by-step explanation:

follow the order for pemdas which is (parenthesis,exponent,multiplication/division, and then addition/subtraction)

Pls help I’ll give brainlisest it’s 7th grade math

Answers

Answer:

-2.3 to 2.9

Step-by-step explanation:

The range is kinda self explanatory, range is the space between the lowest value and the greatest value. You can solve it by subtracting 2.9 - (-2.3)

Hope that helps and have a great day!

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