Makayla borrows $15200. Some is from her friend at 5% annual interest, 2 times as much as that from her bank at 8% , and the remainder from her insurance company at 4%. She pays a total of $968 in interest for the first year. How much did she borrow from each source?

Answers

Answer 1

Answer:

Amount borrowed from friend = 4000

From Bank = 8000

From insurance = 3200

Step-by-step explanation:

Given that:

Amount borrowed = $15200

Let amount borrowed from friend = x

x at 5% = 0.05x

From Bank = 2x at 8% = 0.08*2x = 0.16x

From insurance = 15200 - (x + 2x) at 4%

From insurance = 15200 - 3x at 4% ; (15200 - 3x)* 0.04 = 608 - 0.12x

Interest paid in first year = $968

Simple interest = principal * rate * time

968 =

968 = (0.05x + 0.16x + 608 - 0.12x)

968 - 608 = 0.05x + 0.16x - 0.12x

360 = 0.09x

x = 360 / 0.09

x = 4000

Hence,

Amount borrowed from friend = 4000

From Bank = 2x = 4000 * 2 = 8000

From insurance = 15200 - (4000 + 8000) = 3200


Related Questions

Evaluate 252.7 divided by 29

Answers

Answer:

13.30

Step-by-step explanation:

The answer is 8.71379310345 but to the nearest tenth is 8.710

If you dilate a figure with scale factor r = 1/2, what scale factor do you use to reverse that dilation and move it back?

Answers

Answer:

r = 2

Step-by-step explanation:

When a figure is dilated with scale factor r = 1/2, the figure is halved. To reverse it back to normal, you would have to double the halved figure. Doubling something is the same as dilating it with a scale factor of 2.

Hope this helps :)

Suppose that the second term of a geometric sequence is 4 and the sixth term is 16. Find the fourth term

Answers

Answer:

8

Step-by-step explanation:

Given GPa₂ = 4, a₆ = 16To finda₄ = ?Solutiona₂ = ar = 4a₆= ar⁵ = 16

Substitute ar in the second equation

ar⁵= 164r⁴ = 16r⁴ = 4r = √2

Then finding a₄

a₄ = a₂*r² = 4*(√2)² = 4*2= 8

13
Luke is painting the ceiling. He needs to lay down drop cloths so he does not get paint
on the floor. Each drop cloth is 8 feet by 6 feet. The room is 14 feet by 16 feet. How
many drop cloths will he need to cover the floor?
Type your answer
SUBMIT

Answers

Answer:

5 Drop Cloths

Step-by-step explanation:

1 - Find the areas of both the room and the drop cloth

Drop Cloth:

A = L x W

A = 8 x 16

A = 48

Room:

A = L x W

A = 14 x 16

A = 224

2 - Divide the area of the room by the area of 1 drop cloth

This is to see how many times the area of the drop cloth will go into the area of the room

Room Area/Drop Cloth Area =

224/48 = 4.66666666... = 5 drop cloths

Hope this helps :)

How to simply a fraction

Answers

Answer:

In order to simplify a fraction there must be:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced, or.

2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.

Answer:

To simply a fraction, you need to find the largest number that can go in to both the numerator and denominator. For example, 12/16, the largest number that can go into both it 4. Then divide the numerator and denominator by the large number which would be 3/4

Help fast please due tonight at 11:30 Caroline is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 5 points. What would be Caroline's test score (out of 40) if she got 2 questions wrong? What would be her score if she got x questions wrong?

Answers

Answer:

30 points out of 40

5(8 - x)

Step-by-step explanation:

40 ÷ 5 = 8 questions

8 - 2 = 6 questions right

6 * 5 = 30

I hope this helps, please mark Brainliest, thank you!

A bed measures 57 inches by 76. What is the distance between opposite corners of the bed

Answers

Answer:

Step-by-step explanation:

Because bed is rectangular and diagonal is dividing it into two right angled Δs , we are using Pythagorean Theorem c² = a² + b²

c² = 57² + 76²

c² = 3249 + 5776 = 9025

c = 95 inches

Answer:

The distance between opposite corners is: 95

Explanation:

Using the formula:

d=square root L^2+W^2

So, take the square root of 57^2+76^2

= 95

Which product is positive?
I NEED THE ANSWER ASAP

Answers

Answer:

D

Step-by-step explanation:

the others have a odd number of negatives.

can i have brainliest?

I also think it’s d

A bank credit card charges interest at the rate of 24% per year, compounded monthly. If a senior in college charges $1,500 to pay for college expenses, and intends to pay it in one ye

what will he have to pay? (Round your answer to the nearest cent.)

$

Answers

Answer: 1902.36

Step-by-step explanation:

When interest is compounded monthly , the formula to find the accumulated amount is

[tex]A=P(1+\dfrac{r}{12})^{12t}[/tex] , where P = principal value , r = rate of interest , t = time.

As per given,

r= 24% =  0.24

P= $1500

t= 1 year

Put all value in formula , we get

[tex]A= 1500(1+\dfrac{0.24}{12})^{12\times 1}\\\\=1500(1+0.02)^{12}\\\\=1500(1.02)^{12}\\\\=1500(1.26824179456)\approx1902.36[/tex]

Hence, he need to pay $1902.36.

How many millimetres are there in 405
cm​

Answers

Answer: 4050 millimeters

:)

Answer:

4050

Step-by-step explanation:

Length

405

Centimeter

=

4050

Millimeter

Formula

multiply the length value by 10

Is distance a qualitative or quantitative?

Answers

Qualitative is something that describe like the different colors of something.

And Quantitative are numbers are quantity like the name says.

So I would say that distance is quantitative.

I hope this helps :D
Quantitative .........

A and B equal what?? Helpppp??

Answers

A is 155

B is 65

For a:

180-25 = 155

For b:

90-25 = 65

Answer:

a=155

b=65

Step-by-step explanation:

a

180-25

= 155

b

360-25-25-90-155

=65

Overnight, the temperature in Chicago was just – 7°F. But by the afternoon, the temperature had risen 9°F. What was the temperature in Chicago that afternoon?

Answers

Answer:

2°F is the answer

What are the three ways we can write ratios

Answers

Answer:

Step-by-step explanation:

The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

Three ways to write Ratios are : in form of fraction, in form of decimals. Consecutively, they can also be written in form of percentage.

Ratio is an ordered pair of numbers a & b , a : b , where b ≠ 0. It can be written in above mentioned 3 other forms

Considering example is 4 : 8

It can be represented in form of fraction 4 / 8 , that can further be reduced to  1  / 2 It can also be written in form of decimal, 1 / 2 = 0.5 It can also be written in form of percentage,  4/8 = 1/2 = 0.5 = 50%

To learn more, refer https://brainly.com/question/13419413?referrer=searchResults

Find the horizontal​ asymptote, if​ any, of the graph of the rational function. ​f(x)=16x5x2+7​

Answers

There is an app called math-way it helps you with these types of questions

PLZ HELP ME WHAT IS THE ANSWER FOR THIS PLZ I WILL MARK BRAINLIEST!!!

Answers

Answer:

B.Andrew will have 0 points

C.4+(-4) is an expression showing how Andrew gained 4 points but lost 4 points

Step-by-step explanation:

If you add 4 for the first round then take away 4 from the second round you get 0.

The 4+ shows that Andrew gained 4 points in the first round but in the second he lost 4 points.

Alice is saving to buy a house and currently has $2,000 in her savings account. She's planning to contribute $150 to the account each month. Identify the function that describes the relationship between the number of months that pass (n) and the balance of her savings account, f(n).

Answers

Answer:

f(n)= 2,000+150n

Step-by-step explanation:

hope this helps.

Answer:

f(n) = 2,000 + 150(n − 1)

Step-by-step explanation:I took the test

In a container of juice, 25% is real juice. The juice container is 32 oz. Choose the expression that completes each step involved in setting up and solving the proportion that represents the situation

Set up a proportion: ___=_____

Cross multiply: ___=____

Divide by the coefficient of x: x= _____


32/25, x/32, 32/100, 25/100, x/25, 32x, 25x, 100x, 8, 25, 32, 80, 800, 2500, 3200

Answers

Answer: 25/100

Step-by-step explanation:

it 25%

A rectangular prism is 10 inches long, 5 inches wide, and 6 1/2 inches tall. What is the volume in cubic inches of the prism?

Answers

Answer:

325 cubic inches

Step-by-step explanation:

10*5=50

50*6.5=325

Hope that helped! Please don't hate me if I did something wrong!

Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles? A. 211x + 638 = 63 B. 211x + 63 = 638 C. 63x + 211 = 638 D. 63x + 638 = 211

Answers

Answer:

Option C is correct.

Step-by-step explanation:

Distance already traveled by Ed [tex]=211[/tex] miles

Also, Ed is driving at a rate of 63 miles per hour.

Distance [tex]=[/tex] Speed × Time

Distance traveled by Ed in [tex]x[/tex] hours [tex]=63x[/tex]

Total distance traveled by Ed [tex]=211+63x[/tex]

Also, total distance traveled by Ed is [tex]638[/tex] miles.

Therefore,

[tex]638=211+63x[/tex]

Option C is correct.

Fuimos al Circo "Hermanos Poncho y Carlos", y tuvimos que pagar en total $350 por mis dos hermanos, mis padres y yo. Mi mamá pagó 1/7 parte del total, mi hermano mayor 2/5 del total y mi papá el resto. ¿Cuánto pagó mi papá?

Que operación necesito hacer plss ?​

Answers

Answer:

$160

Step-by-step explanation:

El monto total a pagar es de $350

[tex]\dfrac{1}{7}[/tex] es pagado por mamá

[tex]\dfrac{2}{5}[/tex] es pagado por el hermano mayor

La porción pagada por papá es

[tex]1-(\dfrac{1}{7}+\dfrac{2}{5})=1-(\dfrac{5+14}{35})\\ =1-\dfrac{19}{35}\\ =\dfrac{35-19}{35}\\ =\dfrac{16}{35}[/tex]

Esta cantidad pagada por papá es

[tex]350\times\dfrac{16}{35}\\ =10\times 16\\ =\$160[/tex]

Esta cantidad pagada por papá es $160.

A rabbit can run 35 mph a fox can run. 21 mph which animal is faster and by how much

Answers

A rabbit is faster by 14mph.

35 is a higher number than 21, and to find the difference subtract 35 and 21.

2. In AGHK, GH = 11, HK = 21, and GK = 15. To the nearest tenth, what is m​

Answers

Answer:

ok here is the answer

Step-by-step explanation:

how about you stop cheating and do it by your self

Solve for x. 4 In (4x) = 16

Answers

Answer:

x= 4

Step-by-step explanation:

4 x 4= 16

Answer:

Step-by-step explanation:

In 4x=26

4x=e^26

x= e^26/4

x=4.89×10^10

I need help ASAP Due in a day marking brainliest!!!

Answers

Answer:

i ont hel.p.............................................. .

Step-by-step explanation:

Answer:

D) -3

Step-by-step explanation:

Imagine a horizontal line that intersects the graph at 3 points

Looking at the graph, the line is possible in the interval from y = -2.5 to y = -4

D) -3 is the only option in the same interval

PLEASE HELP Look at each statement. Does the statement describe a transformation of the graph of f(x) = x that would result in the graph of g(x) = x + 2? Select Yes or No for each statement.


The parent function is reflected across the y-axis.

A Yes B No

The parent function is translated 2 units up.

A Yes B No

The parent function is translated 2 units down.

A Yes B No

Answers

Answer:

B,A,B

Step-by-step explanation:

What is the sum of 5x squared -12x +2

Answers

The correct answer would be 2.2198 or 2.22 rounded up :)

What do you know to be true about the values of a and b?


A. a = b
B. a < b
C. a > b
D. Cant be determined

Answers

Answer:

D. Cant be determined

Step-by-step explanation: The triangle is flipped so you dont know what at nor b is one the other triangle

6. Challenge Problem: One owl hoots every 3 hours, a second owl hoots every 8 hours, and
a third owl hoots every 12 hours. If they all hoot together at the start, how many times
during the next 80 hours will just two of the owls hoot together?

Answers

Answer:

9 times

Step-by-step explanation:

The least common multiple (henceforth written as LCM) of 3 and 8 is 24. Therefore, these 2 owls hoot 72/24 = 3 times. The LCM of 3 and 12 is 12. These 2 owls hoot 72/12 = 6 times. The LCM of 8 and 12 is 24. These 2 owls hoot 72/24 = 3 times. Altogether, these owls hoot the LCM of 3, 8, AND 12, or 72/24 = 3 times. 3+3+6-3 = 9 times.

If they all hoot together at the start, 9 times during the next 80 hours will just two of the owls hoot together.

What is number theory?

Number theory is the study of integers and functions of arithmetic.

One owl hoots every 3 hours.

Second owl hoots every 8 hours.

Third owl hoots every 12 hours.

If they all hoot together at the start, how many times during the next 80 hours will just two of the owls hoot together

Number theory indicates that the multiples of the periods of hooting are;

The multiples of 3 are; 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72,75, 78, 81, 82

The multiples of 8 are; 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

The multiples of 12 are; 12, 24, 36, 48, 60, 72,

The least common multiple of 3 and 8 is 24, these 2 owls hoot 72/24 = 3 times.

The LCM of 3 and 12 is 12, these 2 owls hoot 72/12 = 6 times.

The LCM of 8 and 12 is 24, these 2 owls hoot 72/24 = 3 times.

Altogether, these owls hoot the LCM of 3, 8, AND 12, or 72/24 = 3 times. 3+3+6-3 = 9 times.

Therefore, 9 times during the next 80 hours will just two of the owls hoot together.

Learn more on L.C.M. here:

https://brainly.com/question/31661021

#SPJ2

Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.

Answers

It will last you 25 days. Is that the question?
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