12. John borrowed $80 from his sister, Joan. He agreed to pay her back at a rate of $6 per

week. Create a function, P, that gives the amount of money that john still owes Joan after

w weeks.


12 (b) John told Joan that he will have paid her back all of the money, after making

payments for 13 weeks.. Explain why John is incorrect?

Answers

Answer 1

Answer:

P = 80 - 6w

Step-by-step explanation:

Initial amount = $80Payment each week = $6

Required function:

P = 80 - 6w

Time required to pay all money. At this time P = 0

0 = 80 - 6w6w = 80w = 80/6w = 13.33

Since w > 13, John needs 14 weeks


Related Questions

Evaluate 2(5 + x2) + y if x = 3 and y = 2

Answers

Answer:

26

Step-by-step explanation:

one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find the remaining surface area of the room and the answer will be in cm​

Answers

Answer:

[tex]Area = 968000cm^2[/tex]

Step-by-step explanation:

To be able to answer this question properly. I'll assume the length of the room is in meters.

So for the room, we have:

[tex]Length = 12.8m[/tex]

[tex]Breadth = 850cm[/tex]

For the bed, we have:

[tex]Length = 300cm[/tex]

[tex]Breadth = 400cm[/tex]

First, we calculate the surface area of the room.

[tex]A_1 = 12.8m * 850cm[/tex]

Convert all units to cm

[tex]A_1= 12.8*100cm * 850cm[/tex]

[tex]A_1= 1 088 000 cm^2[/tex]

Next, we calculate the area of the bed

[tex]A_2 = 300cm * 400cm[/tex]

[tex]A_2 = 120000cm^2[/tex]

The area of the space left  is the difference between A1 and A2

[tex]Area = A_1 - A_2[/tex]

[tex]Area = 1088000cm^2 - 120000cm^2[/tex]

[tex]Area = 968000cm^2[/tex]

(3x + 6) (5x +4)
I need help I don’t understand

Answers

[tex](3x + 6)(5x + 4) \\ [/tex]

[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]

[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]

[tex] = 15 {x}^{2} + 42x + 24[/tex]

HELPPPP!!!!!
my testt

Answers

Answer:

$8.50

Step-by-step explanation:

ok so if you divide 3.40 by 5 you get .68 and you multiply that to get 8.16 then you divide .68 to get the cost of half a pound and you get .34 so you add that to 8.16 and get 8.5.  

your answer is $8.50

hope this helps!

Answer:i know this is no help now but plz give my sister brainliest for what she did last year.

Step-by-step explanation:

Which expression is equivalent to 3V64a^6b^7c^9?

Answers

Answer:

24a³b³c⁴[tex]\sqrt{bc}[/tex]

Step-by-step explanation:

Given

3[tex]\sqrt{64a^6b^7c^9}[/tex]

Equivalent expression is

3[tex]\sqrt{64a^6b^7c^9}[/tex] =3[tex]\sqrt{8^2(a^3)^2b(b^3)^2c(c^4)^2}[/tex] =3*8a³b³c⁴[tex]\sqrt{bc}[/tex]=24a³b³c⁴[tex]\sqrt{bc}[/tex]

Lucy cuts 5 different pieces of fabric throughout the day .
1.125 M 475CM 245CM 5.875M 3.055M
What is the total amount of fabric she cut ?
(. )M

Answers

Answer: 1 625.5cm or 16.255m

Step-by-step explanation:

convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.

convert the cm measurements back to m measurements (i only assume because you said . m at the end)

The total amount of fabric she cut is  17.255 m .

The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.

In order to add the different lengths, the lengths have to be in meters.

100cm - 1 meter

475cm = 475 / 100 = 4.75m

245cm = 245 / 100 = 2.45m

Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m

To learn more about addition, please check: https://brainly.com/question/349488

My sister is 12 years old. My brother says that his age minus twelve is equal to my sister's age. How old is my brother?

Enter an equation, using as your variable, to find how old my brother is.

The equation is

Answers

x-12=12

x=24

your brother is 24 years old

The ratio of male employees to female employees is 1:3. If there are 144 female
employees in total, how many males are there?

Answers

Answer:

There are 48 male employees.

Step-by-step explanation:

144 divided by 3 = 48

48 x 1 = 48

Therefore there are 48 male employees.

Determine wether the relation is a function (4,0),(2,0),(1,2),(2,4),(4,4),(5,2)

Answers

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

PLESSS SOMEONE KNOW THIS

Answers

Answer:

D.

Step-by-step explanation:

Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.

Don't know if that helps. I hope it does. Have a great day

Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?

Answers

Answer:  21600

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.

Which graph represents 2 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) ?

Answers

Answer:

D on edge 2020

Step-by-step explanation:

the coordinate point is at (-1, 1.75)

The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The complete question is:

Which graph represents 2(cos(2π/3)+i sin(2π/3))?

The graphs are in the picture, please refer to the picture.

We have a complex number;

= 2(cos(2π/3)+i sin(2π/3))

= 2(cos120 + i sin120)

= 2(-0.5 + i 0.866)

= -1 + i 1.732

The point is (-1, 1.732)

Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

Learn more about the complex number here:

brainly.com/question/10251853

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If my recipe calls for 3/4 cups of water per 1 egg how many eggs do I need if I use 6 cups of water?

Answers

Answer:

6

Step-by-step explanation:

A simple moving average a. is a cumulative breadth measure b. is constructed from various randomly selected interviews of retail investors c. seldom changes in value d. is constructed by totaling a set of data and dividing that total by the number of observations

Answers

Answer:

d. is constructed by totaling a set of data and dividing that total by the number of observations  

Step-by-step explanation:

Moving average is a method of calculation that is use to analyze the data points by making a series of averages of the various subsets in the full data set. Its another name is rolling average or moving mean.

A simple moving average is constructed by taking the sum of a set of data and then dividing the total by a number of the observations.

It takes Ernie 45 hours to paint the house alone. Silene can do it in 36 hours alone. How long
would it take them to paint the house together?

Answers

Therefore it takes
2.4

hrs
for Sally & John to paint the house together

​​​​​​Write an equation to describe this situation using decimals. “Tessa bought x pounds of almonds. Lark (y) bought more than that”. PLEASE HELP!

Answers

Answer:

y = 1.6x

Step-by-step explanation:

y is the total amount/pounds of almonds that Lark bought. x is the amount that Tessa bought. 3/5 is the same as 0.6. If we multiplied Tessa's amount by 0.6 it would decrease by 2/5 so we have to add 1 to make it 1.6. To find how much Lark bought multiply 1.6 and Tessa's amount.

Answer:

how many 35 (x) did molly purchase, for 5 (y) weeks.

Step-by-step explanation:

I chose this because each number represents a different volume , it also makes a good answer, comment or repsond if i am wrong.

2x -3 = -7 please help

Answers

Answer:

2x - 3 = -7 (add 3 to both sides)

2x = -4 (divide each side by 2 to get x alone)

x = -2

I need help with math homework

Answers

Answer:

A. (1, 2) and (4, 3)

B. Slope (m) = ⅓

C. y - 2 = ⅓(x - 1)

D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Step-by-step explanation:

A. Two points on the line from the graph are: (1, 2) and (4, 3)

B. The slope can be calculated using two points, (1, 2) and (4, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]

Slope (m) = ⅓

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).

Thus:

y - 2 = ⅓(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 2 = ⅓(x - 1)

3(y - 2) = x - 1

3y - 6 = x - 1

3y = x - 1 + 6

3y = x + 5

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. Convert the equation in (D) to standard form:

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

5TH GRADE LEVEL QUESTION: LOOK AT PHTO AND ANSWER HANDING OUT BRAINLIEST.

Answers

Answer:

The volume of Jill's rectangular prism is 40 cm^3

Step-by-step explanation:

w*l*h=area

2*2*10

4*10

40 cm^3

Hope this helps!!


Please help if u know

Answers

Answer:

(-3,0), (1,0),(-5,0)

Step-by-step explanation:

(-3,0), (1,10), (5,0)

The price of an item has been reduced by 45%. The original price was $85.

Answers

Answer:

$38.25

Step-by-step explanation:

Answer:

Sale Price: $85 * 0.55 = $46.75

Step-by-step explanation:

Work out the problem -5-8​

Answers

-13

Answer:

since 5+8 is 13 and there's a '-' in the five than it's-13

use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?

Answers

Answer:

f(g(-1)) = 22

g(f(-1))=6

Step-by-step explanation:

We are given

[tex]f(x)=5x+2 \\g(x)=3-x[/tex]

We need to find f(g(-1)) and g(f(-1))

Finding f(g(-1))

First we will find f(g(x)) i.e

[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]

Now finding f(g(-1)) by putting x=-1

[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]

So, f(g(-1)) = 22

Finding g(f(-1))

First we will find g(f(x)) i.e

[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]

Now finding g(f(-1)) by putting x=-1

[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]

So, g(f(-1))=6

WILL GIVE BRAINLIEST!!
What is the value of 1/60?

Answers

Answer:

1/6

Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?

Answers

4 years, just like what the other person said he is right. because 9% of population is 1800

It will take approximately four years for the population to be fewer than 13,000.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The population of the town is 20.000. It decreases at a rate of 9% per year.

The population of the town decreases by 20,000 × 9% = 1,800 people per year.

To determine how many years it takes for the population to fall below 13,000, you can use the formula:

= (20,000 - 13,000) / 1,800

= 3.88 ≈ 4 years

So, it will take approximately 4 years for the population to be fewer than 13,000.

To learn more about the rate click here :

https://brainly.com/question/12786410

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Help!! I need an answer asap!!

Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8

Answers

Answer:

m<5 = 71 and m<8 = 109

Step-by-step explanation:

m<1 is equivalent to m<5 and m<2 is equivalent to m<8.

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

Find the slope of the line through each pair of points
(3, -20), (5, 8)

Answers

Slope: (y2-y1)/(x2-x1)
(8-(-20))/(5-3) = 28/2 = 14
The slope is 14

Answer:

Can you try turning the 5,8 into a ratio? thats all I can think of right now

Step-by-step explanation:

PLEASE HELP STATTTT

73 people need to ride the elevator to the top of a skyscraper. The elevator can hold 5 people at a time. How many people will be in the elevator on the last trip to the top?

Answers

It would be 3 :) hope this helps

PLS HELP ASAP... WILL MARK BRAINLIEST!!!!

Parallel lines r and s are cut by two transversals, parallel lines t and u.

How many angles are alternate exterior angles with angle 5?

Answers

Answer:

2 angles

Step-by-step explanation:

only 2 angles are ternate exteriors

Answer: 12

Step-by-step explanation:

I did it

HELP QUICK!! I HAVE ADULTS YELLING AT ME BC I DON'T UNDERSTAND

Answers

Answer:

[tex] 1\frac{1}{6} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{2}{3}*1\frac{3}{4} [/tex]

Required:

Evaluate

SOLUTION:

To evaluate, we need to convert the mixed fraction to improper fraction, then multiply both fractions together.

Thus:

[tex] \frac{2}{3}*\frac{7}{4} [/tex]

Multiply the numerators together, and multiply the denominators together

[tex] = \frac{2 \times 7}{3 \times 4} [/tex]

[tex] = \frac{14}{12} [/tex]

Simply the fraction by dividing the numerator and denominator by 2

[tex] = \frac{7}{6} [/tex]

[tex] = 1\frac{1}{6} [/tex]

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