To offset college expenses, at the beginning of your freshman year you obtain a nonsubsidized student loan for $15,000. Interest on this loan accrues at a rate of 4.11% compounded monthly. However, you do not have to make any payments against either the principal or the interest until after you graduate.

Required:
a. Write a function that gives the total amount, F, you will owe on this loan after t years in college. F(t) = ?
b. What is the APR?%
c. What is the APY? (Round your answer to two decimal places.)

Answers

Answer 1

Answer:

15000(1.003425)^12t ;

4.11%

4.188%

Step-by-step explanation:

Given that:

Loan amount = principal = $15000

Interest rate, r = 4.11% = 0.0411

n = number of times compounded per period, monthly = 12 (number of months in a year)

Total amount, F owed, after t years in college ;

F(t) = P(1 + r/n)^nt

F(t) = 15000(1 + 0.0411/12)^12t

F(t) = 15000(1.003425)^12t

2.) The annual percentage rate is the interest rate without compounding = 4.11%

3.)

The APY

APY = (1 + APR/n)^n - 1

APY = (1 + 0.0411/12)^12 - 1

APY = (1.003425)^12 - 1

APY = 1.04188 - 1

APY = 0.04188

APY = 0.04188 * 100% = 4.188%


Related Questions

Which table shows a linear functioooooonnn helpppp!

Answers

Answer:

None so im assuming its the final one?

Step-by-step explanation:

Answer:

c i think

Step-by-step explanation:


What is the area of a rectangle whose width is 6 feet and length is 19 feet?

Answers

Answer:

114

Step-by-step explanation:

A= length x width

A= 6x9

A=114

What is the equation of the line? (Lol please answer I didn’t pay attention in class)

Answers

Answer: Y=1/2+2

Why? You find the slope of the line but picking one point the intersects directly on a point then rise up and over to find the next point that intersects directly on a point so I used point 0,2 and rise 1 and over 2 to get to point 2,3.
Slope= rise/run so it’s 1/2
And the last number in the equation is the y intercept because Y=mx+b
M=slope
B= y intercept
The y intercept is 2

Hope this helps (if I need to explain better just comment on this and I can try)

The statement "one-eighth the age, a" can be expressed algebraically as ?

Answers

Answer:

1/8a

Step-by-step explanation:

A pet store sells goldfish and hermit crabs,

The store sells 7 goldfish and 3 hermit crabs for $26.

• The store sells 4 goldfish and 5 hermit crabs for $28.

How much would the store sell 6 goldfish and 4 hermit crabs for?

Answers

Answer:

[tex]Cost = \$28[/tex]

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

[tex]7g + 3h = 26[/tex]

The second statement, we have:

[tex]4g + 5h = 28[/tex]

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

[tex]7g + 3h = 26[/tex] --- (1)

[tex]4g + 5h = 28[/tex] --- (2)

Make g the subject in (2)

[tex]4g + 5h = 28[/tex]

[tex]4g = 28 - 5h[/tex]

Divide both sides by 4

[tex]g = \frac{1}{4}(28 - 5h)[/tex]

Substitute [tex]\frac{1}{4}(28 - 5h)[/tex] for g in (1)

[tex]7g + 3h = 26[/tex]

[tex]7(\frac{1}{4}(28 - 5h)) + 3h = 26[/tex]

[tex]\frac{7}{4}(28 - 5h) + 3h = 26[/tex]

Multiply through by 4

[tex]4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4[/tex]

[tex]7(28 - 5h) + 4*3h = 26*4[/tex]

Open bracket

[tex]196 - 35h + 12h = 104[/tex]

[tex]196 -23h = 104[/tex]

Collect Like Terms

[tex]-23h = 104-196[/tex]

[tex]-23h = -92[/tex]

Make h the subject

[tex]h = \frac{-92}{-23}[/tex]

[tex]h = \frac{92}{23}[/tex]

[tex]h = 4[/tex]

Substitute 4 for h in [tex]g = \frac{1}{4}(28 - 5h)[/tex]

[tex]g = \frac{1}{4}(28 - 5*4)[/tex]

[tex]g = \frac{1}{4}(28 - 20)[/tex]

[tex]g = \frac{1}{4}(8)[/tex]

[tex]g = 2[/tex]

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

[tex]Cost = 6g + 4h[/tex]

[tex]Cost = 6*\$2 + 4*\$4[/tex]

[tex]Cost = \$12 + \$16[/tex]

[tex]Cost = \$28[/tex]

A rectangle has an area of 18 square feet. A similar rectangle 1

has an area of 160 square feet. What is the ratio of the areas of these

similar rectangles?

Answers

Answer:

[tex]Ratio = 9 :80[/tex]

Step-by-step explanation:

Given

[tex]A_1 = 18ft^2[/tex] --- Area of smaller rectangle

[tex]A_2 = 160ft^2[/tex] --- Area of bigger rectangle

Required

Determine the area of the areas.

The ratio is calculated by the dividing the areas of rectangles.

[tex]Ratio = \frac{A_1}{A_2}[/tex]

Substitute values for A2 and A1

[tex]Ratio = \frac{18ft^2}{160ft^2}[/tex]

[tex]Ratio = \frac{18}{160}[/tex]

Simplify the fraction

[tex]Ratio = \frac{9}{80}[/tex]

Represent as ratio

[tex]Ratio = 9 :80[/tex]

Hence, the ratio of the rectangles is 1 to 9

Find the quotient. 10/6 divided by 1/12

Answers

Answer:

the awnser is 20

Step-by-step explanation:

10

6

÷  

1

12

=  

10

6

×  

12

1

=  

10 × 12

6 × 1

=  

120

6

=  

120 ÷ 6

6 ÷ 6

=  20

Step-by-step explanation:

10/6 / 1/12

= 20

10        12             120

     x            =  

6           1               6

120/6=20

hope it helps! :3

What is 85.92 divided by 4

Answers

[tex]correct is it Because Correct[/tex]A.

Answer:

The answer of your question : 85.92 divided by 4 is equal to (21.48)

mike can do 126 sit-ups in six minutes. how many sit-ups is that per minute?

Answers

Answer:

21

Step-by-step explanation:

126/6= 21 sit ups per minute

solve for q 19 = q + 4 q=

Answers

Answer:

Assuming the 19 stood for an exponent, q = 1.098...

Step-by-step explanation:

Plugging in [tex]q^{19} = q + 4[/tex] in the graphical calculator, we can see that the solution is approximately q=1.098. There are no ways of solving this equation algebraically.

Answer:

q = 15

Step-by-step explanation:

19 = q + 4

Subtract 4 from each side

19-4 = q + 4-4

15 = q

Find the y-intercept of the following equation. Simplify your answer. 8x - 3y = -3​

Answers

The y-intercept is (0,1)

help me please asap I'll give brainleist ​

Answers

the answer should be number B

B!!!!!!!!!!!!!!!!!!!!!!

hope this helps

A map has a scale of 1 cm to 14 km.
On the map,the distance between Manchester and London is 18.8 cm.
What is the real distance,in km,between Manchester and London?​

Answers

The answer should be 263.2

You can find this by multiplying 18.8 by 14

Annabeth and Charlie are both on road trips. Annabeth’s distance, in miles, from New York t hours after 12:00 p.m. is modeled by this function.

Answers

Charlie travelled greater amount of time.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

D(t) = 60 |t- 3|

for, t=0

D(0) = 60*3 = 180

For t=1,

D(1) = 120

For t= 2

D(2) = 60

According to the data of Charlie and Annabeth it can bee seen that charlie had been travelling greater amount of time.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

Charlie!

Step-by-step explanation:

HELP ME PLEASE (50 points) picture below HELP PLEASE

Answers

Answer:

72.32

Step-by-step explanation:

i have spoken

Answer:

72.32 degrees

Step-by-step explanation:

the picture shows a supplementary angle, which equals 180 degrees.

first, solve for x.

since the entire figure equals 180 degrees, set the equation equal to 180. then add in the measurements, which are 7x, 8x, and 44.4.

180 = 7x + 8x + 44.4

combine like terms (7x and 8x).

180 = 7x + 8x + 44.4 ⇒ 180 = 15x + 44.4

subtract 44.4 from both sides. the positive 44.4 will cancel out, so all you have to do is subtract 44.4 from 180.

180 - 44.4 = 135.6

now, your equation is...

135.6 = 15x

divide both sides by 15.

(135.6)/15 = (15x)/15 ⇒ 9.04 = x, or x = 9.04

now plug 9.04 in for x in both 7x and 8x.

7x ⇒ 7(9.04)63.28

8x ⇒ 8(9.04)72.32

*the highlighted angle, 8x, is 72.32 degrees.

checking your work:

now, all your measurements are 63.28, 72.32, and 44.4

check your work by adding all the measurements together and setting that equal to 180.

63.28 + 72.32 + 44.4 = 180

180 = 180

since both sides are equal, all of the values are correct!

now that you know your work is correct, it is fully safe to say that the highlighted angle is 72.32 degrees.

The first Olympics were held in Greece more than 7 x 7 x 7 x 7 years ago.

The factor
is the base.

The factor is multiplied
times.

The exponent is
.

Then determine its value.

Answers

The olympics was 2,401 years ago.

1% of what number is 7?

WILL GIVE BRAINIEST TO FASTEST AND CORRECT ANSWER WITH WORK SHOWN!

Answers

Answer:

1%=0.07

Step-by-step explanation:

Im going to assume the question says what is 1% of 7.

so 100%=7

divide my 10 to get to 10%

10%=0.7

do the same thing.

1%=0.07

you just go backwards when dividing by 10.

9514 1404 393

Answer:

  700

Step-by-step explanation:

You want to find x such that ...

  1% of x = 7

  0.01x = 7 . . . . . . . . . . use math symbols

  x = 7/0.01 = 700 . . . . divide by the coefficient of x

1% of 700 is 7.

You sign up for 13 weeks of swim lessons. The total cost is $325. What is the cost per week? PLEASE ANSWER HERRRYYYY!!!!!

Answers

Answer:

you would divide

Step-by-step explanation:

325 ÷ 13= $25 a week

I hope this helped

Answer:

325 divided by 13 = 25

Step-by-step explanation:

The graph of the function f is shown. f(0) =

Answers

Answer:

-5

Step-by-step explanation:

f(x) is a function.

f(0) means when x=0 what is the y value

We can look at the graph and when x=0 y is at -5

so the answer is -5

Please help me please
Thank you

Answers

Answer:

Y=1/2x

Step-by-step explanation:

the y intercept is 0 so we dont show it, and slope is rise over run, it goes up one unit every two times to the right

i hope this help!

Given the expression x- + 8x + 5, find the equivalent
expression in vertex form.
(x+4)² – 11
(x+8)2 + 21
(x+4) +9
(x+8) ² – 59

Answers

Answer:

(x+4)^2-11

hope it's helpful ❤❤❤❤

THANK YOU.

2h 15m +1h 50m +1h 40m+ 44m+2h 35m+1h 6m+1h 22m

Answers

Answer:

11 h and 32 m is the answer

after adding all together i got 11h and then added all this minutes 32m
so the answer is 11h 32m

Please help i no not know

Answers

Step-by-step explanation:

total is 180* subtract 180by 149 u get x   180-149=31*

x = 31 degrees since

Show work and answer .............

Answers

Answer:

1. 5

2. 5

3. -3

4.y= -1

5. 5

Step-by-step explanation:

1.)x- 2y= -25 ; y=3x

x-2(3x)=(-25)

x-6x=(-25) ; -5x=(-25) ; x=5

2.) 5x+3y =40; x=y

8y=40; y=5

3.) 4x-3y= -27; x=3y

4(3y)-3y= -27; 12y-3y=-27; 9y=-27; y=-3

4.)x-y=9; x=-8y; -8y-y=9; -9y=9; y=-1

5.) 2x+2y=30; y=2x ; 2x+2(2x)=30; 6x=30; x=5

A solution consisting of 95 mg of dopamine in 95 mL of solution is administered at a rate of 30 ml/hr. Complete parts (a) and (b) below.
a. What is the flow rate in mg of dopamine per hour?
mg/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)

Answers

Answer:

30 mg

Step-by-step explanation:

Flow rate of dopamine per hour:

Flow rate of dopamine per hour =  (95g)*(30ml/hr) / 95ml

Flow rate of dopamine per hour = 30mg

Find the cosine of
A. 12/13
B. 13/12
C. 5/12
D. 5/13

Help hurry !!

Answers

cosine formula = adjacent/ hypotenuse
5 is the adjacent and 13 is the hypotenuse
ANSWER= D

Mr. Hamilton sponsors the creative writing club. He decided to make booklets of his students'
poems and stories to hand out at the school's activity fair. He went to a local printing shop
that charges $0.25 per page in the book and $1.00 to bind the pages together. The booklet
Mr. Hamilton is making has p pages, and he plans to make 50 booklets.
Pick all the expressions that represent how much Mr. Hamilton will spend making the
booklets.
12.50p + 50.00
50(1.25p)
50(0.25p + 1.00)
12.50p + 50.00p

Answers

Answer:

50(1.25p) and 50(0.25p + 1.00)

Step-by-step explanation:

They both equal the same answer.

50(1.25p) = 62.5

50(0.25p + 1.00) = 62.5

when in parentheses, you multiply

50 * 1.25 = 62.5

50 * 0.25 + 1.00 = 62.5

The expression for the given scenario is 50(0.25p+1.00). Therefore, option A and C are the correct answers.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Mr. Hamilton sponsors the creative writing club.

He went to a local printing shop that charges $0.25 per page in the book and $1.00 to bind the pages together.

The booklet Mr. Hamilton is making has p pages, and he plans to make 50 booklets.

So, the expression is 50(0.25p+1.00)

= 12.50p+50.0

Therefore, option A and C are the correct answers.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

It was recently estimated that homes without children outnumber homes with children by about 8 to 7. If there are 3870 homes in a county, how many of them are homes without children?

Answers

Answer: x = 2,340 homes without children

There are 2,340 homes without children.

Step-by-step explanation:

'x' represent the number of homes without children

'y' represent the number of homes with children

x : y = 9 : 7

Since the total number of homes is 4160 means x + y = 4160.

From x + y = 4160 follows y = 4160 - x.

Plug y = 4160 - x into x : y = 9 : 7

x : (4160 - x) = 9 : 7

Condos in norwood go up in value by 10% each year. if gregory family's condo is now worth $160,000, what will it be worth in 5 years? i will give brainliest to the person that answers first.

Answers

Answer:

$257,681.60

Step-by-step explanation:

What's happening here is called "compounding," and the appropriate formula is  A = P(1 + r)^t, where r is the rate of increase as a decimal fraction.

With the given data, we have:

A = $160,000(1 + 0.10)^(5), or:

    = $160,000(1.10)^5, or:

     = $160,000(1.6105) = $257,681.60 :  condo value after 5 years

 

help with the question please!! will award :))))))))))))))))

Answers

Answer:

angle 2 is 63 reason is interior angle

angle 3 is 117 corresponding angle

Answer:

measure 1 = 117 degrees

measure 2 = 180 - 117 = 63 degrees

i dont know he reason because i cant see the options

Step-by-step explanation:

its the ch eating off the principal test for me

Other Questions
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