Alyssa starts with $40 and saves $10 each week. Bill has $24 and saves $12 each week. For numbers 5a. – 5c., determine whether each statement is True or False. Write "True" or "False" for each statement. a. Bill will never have more money than Alyssa. b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings. c. Alyssa and Bill will have the same amount of money at Week 6.

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

Alyssa starts with $40 and saves $10 each week. This can be written as:

= 40 + 10x

Bill has $24 and saves $12 each week. This can be written as:

= 24 + 12x

where, x = number of weeks

a. Bill will never have more money than Alyssa.

False.

From the 9th week, Bill will have more money than Alyssa. To check goes below.

Alyssa = 40 + 10x = 40 + 10(9) = 40 + 90 =$130

Bill = 24 + 12x = 24 + 12(9) = 24 + 108 = $132

b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings.

False.

Bill savings can be represented by:

= 24 + 12x

where, x = number of weeks

c. Alyssa and Bill will have the same amount of money at Week 6.

False.

Alyssa = 40 + 10x

= 40 + 10(6)

= 40 + 60

= $100

Bill = 24 + 12x

= 24 + 12(6)

= 24 + 72

= $96


Related Questions

What common side do triangle CDE and triangle FED share?

Answers

Side DE, because those have the same letter they share the same side

What is the value of 4x+1

Answers

is there more to the equation or ?

4x+1

BRAINIST & 30 POINTS

Answers

Answer:

DF= 33

Step-by-step explanation:

The ratio is equal to 6:5:1 Which can be changed into 18:15:3

Since DE=18 and EF=15 you simply add and = 33

Answer:

df=33

Step-by-step explanation:

Toni rides the Ferris wheel shown for 15 revolutions. A photo of a Ferris wheel has the diameter labeled fifty-six feet. Question 1 Part A How far does Toni travel in one revolution? Use 227 for π

Answers

Answer:

a. 176 feet b. 2640 feet

Step-by-step explanation:

a. Since the diameter of the Ferris wheel is D = 56 feet, the distance Toni travels in one revolution is the circumference of the Ferris wheel, C = πD.

So C = 22/7 × 56 ft = 22 × 8 ft = 176 feet

b. The distance traveled in 15 revolutions is thus D' = 15 × distance of one revolution = 15 × 176 = 2640 feet

Please help with math question

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The Euler Gamma is a named irrational constant whose value is approximately ...

  0.57721566490153286060651209008240243104215933593992...

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.

Below is a sketch of the graph.
a) Write the inequality of the line.

b) Identify the ordered pair for point A.

c) Identify the ordered pair for point B.

d) State which direction they should shade and why that makes sense in context.

Answers

Answer:

Step-by-step explanation:

Lets denote number of floor tickets by x and

Lets denote number of balcony tickets by y as shown in the figure in the question

so, floor tickets are sold for $15 each which means number of x tickets would be sold by $15 multiplied by x which means 15x and balcony tickets are sold for $12 each which means number of y tickets would be sold by $12 multiplied by y which means 12y furthermore it says they want to make at least $3000 which would mean they want to make at least $3000 or higher meaning ≥3000 so the inequality would be

a) [tex]15x+12y\geq 3000[/tex]

b) The ordered pair A we can see that A is the y-intercept which means the point A can also be written as (0 , y) so we put this point into our equation

15x + 12y = 3000 which is the boundary line. So here goes,

[tex]15x+12y=3000\\15(0)+12(y)=3000\\12y=3000\\y=3000/12\\y=250\\[/tex]

so our y-intercept is 250 which means Point A is (0 , 250)

c) They should  shade the area above the boundary line because in this context the band that is playing wants to make at least $3000 which means they want to make more than $3000 . So when a ≥ sign appear we shade the area above the boundary line and when the ≤ sign appears we shade the area below the boundary line. If it were in the question the bands wants to make at most $3000 then the ≤ would appear.

I have attached a graph to clearly visualize the solution as well.

Which is greater 0.37 or 41%

Answers

Answer:

41% because if you put both of those numbers a decimal like this 0.37 and 0.41

It's greater

Step-by-step explanation:

Answer:

41%

Step-by-step explanation:

percentages are out of 100.

41% is equal to 0.41

and 0.41 is greater than 0.37

Try to solve this if you can​

Answers

Answer:

22

Step-by-step explanation:

f. 24-(5-9+18)÷7

24-(14)÷ 7

24 - 2 = 22

hope it helps.....

Step-by-step explanation:

F. = 24-(23-9)/7

=24-14/7

=24-2

=22

g. soln:

let, the quantity be x

Now,

8% of x = Rs.640

or, 8/100*x=Rs. 640

or, 8x\100=Rs.640

or, 8x=Rs.640*100

or, x= 64000/8

x=8000

8747464647396497346585764868738763897645487248737563847538763487Times 32878937498374398487937498743749873928742398787429837429374328947 100 points to correct awnser pls dont report me good luck

Answers

Answer:

2.876073e+128

Step-by-step explanation:

your welcome

Answer:

2.876073e+128

Step-by-step explanation:

8747464647396497346585764868738763897645487248737563847538763487Times 32878937498374398487937498743749873928742398787429837429374328947 = 2.876073e+128

I can't understand this one bit

Answers

Answer:

It would be $1,590.75 more if it were compounded quarterly than monthly.

Step-by-step explanation:

In order to solve this problem, you need to understand the Compound Interest Formula.

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

Where A is the Amount, P is the principal or the initial amount received, r is the rate, n is the number of times (per year) it is compounded, and t is the time in years.

The question gives you all of the information to input into the formula. You have the principal, $5000, the rate, 6% (.06), it's being compounded monthly (12 & 4 per year), and we have the years, 25.

We need to compare the two formulas where the only thing that will change is n. n will be 12 (compounded monthly) and 4 (compounded quarterly).

Compounded monthly

[tex]A=5000(1+\frac{0.06}{12})^{25}\\A = 5663.98[/tex]

Compounded monthly, the account would have $5,663.98 or $5,664 (simplified).

Compounded quarterly

[tex]A=5000(1+\frac{0.06}{4})^{25}\\A =7254.73[/tex]

Compounded quarterly, the account would have $7,254.73 or $7,255 (simplified).

Now, we need to find the difference between monthly and quarterly.

7254.73 - 5663.98 = $1,590.75

It would be $1,590.75 more if it were compounded quarterly than monthly.

A candle burned at a steady rate. After 33 minutes, the candle was 11.2 inches tall. Eighteen minutes later, it was 10.75 inches tall. Use an equation in point-slope form to determine the height of the candle after 2 hours. Round the answer to the tenth place if necessary

Answers

Answer:

9.025 inches

Step-by-step explanation:

Let the length be represented by:

[tex]L = mt+L_0[/tex]

Where [tex]L[/tex] is the length of candle at time [tex]t[/tex]

[tex]m[/tex] is the rate at which the candle is burning.

And [tex]L_0[/tex] is the initial length of the candle.

As per the question statement, let us put the given values in the equation.

[tex]11.2 = m\times 33 + L_0 .... (1)\\10.75 = m\times 51+L_0 ..... (2)[/tex]

Subtracting (1) from (2):

[tex]0.45 = -18m\\\Rightarrow m = -0.025[/tex]

Putting the value of [tex]m[/tex] in the equation (1):

[tex]11.2 = -0.025 \times 33+L_0\\\Rightarrow L_0 = 12.025[/tex]

Therefore, the equation becomes:

[tex]L = -0.025t + 12.025[/tex]

Now, we have to find the height of candle after 2 hours.

2 hours mean 120 minutes.

[tex]L = -0.025 \times 120 + 12.025\\\Rightarrow L = 9.025\ inches[/tex]

Therefore, the height of candle is 9.025 inches.

Which expression represents a negative number?
A. -4/5 x (-8/9)
B. 4/5 x 8/9
C. -4/5 x 8/9
D. -9/8 x (-3/4)

Answers

answer:
C. -4/5 x 8/9

the product of a negative number multiplied by a positive number is always negative
C. -4/5 x 8/9
a negative and positive is always a negative.

plz I need helpppp!!!!
A car salesman earns $500 per week plus 1.5% commisson on his sales. If he sold two cars for a total of $55,000 last week, how much did he make?


a.$83,000

b.$825

c.$2150

d.$1325

e.$1250

Answers

Answer:

D

Step-by-step explanation:

1.5% of 55,000 is 825

add 825 to 500 it totals to 1325

Find the measurement of angle b

Answers

Answer:

133

Step-by-step explanation:

Answer:A + angle B + angle C = 180 degrees, we can find the measure of .

Step-by-step explanation:

the air pressure P is inversely proportional to the altitude h. write the related variation equation

Answers

Answer:

For a confined, constant volume of gas, the ratio

P

T

is therefore constant (i.e.,

P

T

=

k

). If the gas is initially in “Condition 1” (with P = P1 and T = T1), and then changes to “Condition 2” (with P = P2 and T = T2), we have that

P

1

T

1

=

k

and

P

2

T

2

=

k

, which reduces to

P

1

T

1

=

P

2

T

2

m= 2

b=-3

y=

I need to find how i can make this into a equation

Answers

Answer: y=2x-3

Step-by-step explanation:

BASIC EQUATION: y=mx+b

m is slope

b is y intercept (where line intersects the y axis)

An artist is selling children's crafts. Necklaces cost $3.25 each, and bracelets cost $2.50 per each. The artist plan to have a combined total sales of more than $15 from both necklaces and bracelets. If x stands for the number of necklaces and y stands for the number of bracelets, write an inequality that represents this situation

Answers

Answer:

[tex]x\geq 6[/tex]

[tex]y\geq 5[/tex]

Step-by-step explanation:

Distance for 3 minutes and at the speed of 17m/s​

Answers

Answer:  speed = 17m/s

              time taken = 3min = 3 x 60 = 180 seconds   (1min = 60sec)

distance = ST

               = speed x time

                = 17 x 180

= 3060m

pls mark as the brainliest

^_^

Which of the following equations Are a linear function.

Answers

Answer:A IS THE LINEAR FUNCTION

Step-by-step explanation: NO NEED FOR EXPLANATION

A TV has an original price of $499. What is the new price after a 15% increase?

Answers

Given:

Original price of a TV = $499

Price increased by 15%.

To find:

The new price of the TV.

Solution:

According to the question,

New price of the TV = Original price + 15% of its original price.

[tex]\text{New price of the TV}=499+\dfrac{15}{100}(499)[/tex]

[tex]\text{New price of the TV}=499+74.85[/tex]

[tex]\text{New price of the TV}=573.85[/tex]

Therefore, the new price of the TV is $573.85.

If a triangle has all three angles equivalent and all three sides equivalent, what type of triangle is it
1. Equilateral
2. Obtuse scalene
3. Obtuse isosceles
4. Acute isosceles

Answers

Answer:

1 it's and equilateral

Answer:

1 and 4

Step-by-step explanation:

An Equilateral triangle has equal sides.

an Acute triangle has angles that are less than 90

(16) A group of friends is sharing 2 & 12 pounds of berries lf 5 friends are sharing
the berries how many pounds of berries does each friend receive? (show your
problem and answer)
Please help

Answers

Answer:

2.8 pounds

Step-by-step explanation:

2 + 12 = 14

so there 14 pounds

14 / 5 = 2.8

each freind will receive 2.8 pounds of berries

Answer

i think its....

Step-by-step explanation:

In the diagram, lines JK and LM at N, M MNK = 2x + 30.
What is the value of x?

Answers

Answer:

the valu of x is 15 .....

Dorian buys 2 pound's of almond's for 21.98 and 3 pound's of dried apricots for 26.25 which is less expensive per pound how much less expensive

Answers

Answer: Dried apricots are less expensive they are $8.75

Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive

I WILL GIVE BRAINLIEST!!!! ASAP!!! A reflection over the x-axis maps △ABC to △A′B′C′. Do the preimage and image have the same size and shape? Explain.

Answers

Yes, The preimage and the image have the same shape and size.

What is Reflection of an Object?

The reflection of an object across an axis is creating an image that has the same shape and size.

A triangle ABC is reflected over the x-axis to form A'B'C'

When reflected over an axis, the coordinate of the other axis is changed to its additive inverse.

(x,y)-------> (x,-y)

Let the coordinate of the triangle is  (1,1),(3,5),(3,1)

The image of the triangle when reflected over x-axis is

(1,1),(3,5),(3,1)       ------------->    (1,-1),(3,-5),(3,-1)

The shape of a right-angled triangle is the same in the image, the length of the side is same, it is just an image of the same shape and size.

The figure is attached with the answer.

To know more about Reflection

https://brainly.com/question/15487308

#SPJ2

The radio station in North Pole, AK plays Christmas songs all day and night from Thanksgiving through Christmas. They play 12 per hour for 15 hours a day, and 8 songs per hour for the rest of the day. They like to have a mix of traditional and modern songs with a relationship of 9 traditional songs to every 5 modern songs. How many traditional songs and how many modern songs will they play in one day?

Answers

Answer:

Traditional = 162

Modern = 90

Step-by-step explanation:

Given that:

12 songs per hour for 15 hours

8 songs per hour for the rest of the day ; (24 - 15) = 9 hours ;

That is ; 8 songs per hour for 9 hours

Total number of songs played per day :

(12 * 15) + (8 * 9) = 252 songs

If songs are mixed using the ratio 9:5 (traditional : modern)

Traditional songs :

(9 * 252) / (9 + 5) = 162

Modern songs :

(5 * 252) / (9 + 5) = 90



April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal,
plus $60 simple interest. What was the interest rate? ***HINT*** Remember, you must first
find out how much interest is paid in 1 YEAR!*
(2 Points)

Help please

Answers

I = 0.2%

not sure lol

but it will be correct i hope so

The perimeter of the Farmer Bob's rectangular field is 162 yards. The width is 2x and the length is (3x-4). What is the value of x? Question 8 options: 47 34 17 10

Answers

Answer:

Step-by-step explanation:

The perimeter of the Farmer Bob's rectangular field is 162 yards. The width is 2x and the length is (3x-4). What is the value of x? Question 8 options: 47 34 17 10

Sayir is saving up his money to buy a laptop that costs $565.95. Right now he has $205.00, and can save $46.00 each week. How many weeks will it take for Sayir to have enough money for the laptop. Answer the question and put down how you solved it (Answer Choices: A: 6 weeks, B: 7 weeks, C: 8 weeks, D: 9 weeks)

Answers

Answer:

8 weeks

Step-by-step explanation:

You would subtract 565.95 from 205 to get 360.95 then divide it hy each number until you get to 46 and dividing by 8 equals this

Students rent buses and vans for a trip to Disneyland. There were 12 buses and 8 vans and 360 students. A) write an equation to show the relationship described above. B) if there are 12 students on every van, how many kids are on each bus?

Answers

22 kids will be on each bus
Other Questions
I will give brainiest to the person who can answer in Koren As you move down a group, you will recall that the radius increases. Why do you think an increase in atomic radius would result in a lower ionization energy? What is the distance between (-1,-3),(1,3) Big Henry orders a total of 16 frozen pizzas and burritos. The number of pizzas he orders is three times the number of burritos.How many of each type of frozen food did he order? I NEED HELP!!!!!!!!!!!!ILL MARK BRAINLIEST!THANK YOU SO MUCH! PLEASEE helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!! what is the area of this figureenter your answer in the box__ units2 which statement about force is incorrect The group of 15 advisors that help the President make decisions and set government policy is calledCabinetBHouse of RepresentativesSenateDSupreme Court How does religion and faith function or complicate Vashti and/or Kuno's understanding of their reality/free will? What happens when reason and faith collide? The graph of the equation x = 8 is what type of lineline. PLEASE ANSWER QUICKLY AND CORRECTLY!! fill in the blanks________ comes el huevo.________ come la pizza, seor Nuez? ________ no comparte el queso para cenar. ________ tomo t en el desayuno.A) YoB) lC) TD) Usted Tell whether the underlined verb is finite or non- finite. I play hockey The picture above the article was MOST likely includedA)to explain how art was made throughout history.B)to explain why the place attracts so many visitors.C) to show how the people of the past must have looked.D)to show the sort of items that are found in the area, Plz read and then answer Esme uses her bank card to pay for a car wash 4 times. Each car wash costs $16.75. She then deposits $60 in her bank account. Solve the following equations all of six **ECONOMICS**A high level of productivity means that a worker:A. creates a lot of something quickly.B. has skills that are worth a lot of money.C. is a member of a worker organization.D. works in a career with a lot of competition. Nadeen bought a magazine for $7.50 and two sandwiches that cost the same price. She spent a total of $20. How much did each sandwich cost? Which nursing position takes the least amount of study