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VLD [36.1K]
3 years ago
15

Aphrodite took out a 30-year loan from her bank for $170,000 at an APR of

Mathematics
1 answer:
horsena [70]3 years ago
8 0

Answer:

  A. $3246.74

Step-by-step explanation:

The monthly payment can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount, r is the annual rate compounded n times per year for t years.

Filling in the values, we compute the monthly payment to be ...

  A = $170,000(.072/12)/(1 -(1 +.072/12)^(-12·30)) = $1153.94

__

The remaining balance after t years will be ...

  B = P(1 +r/n)^(nt) -A((1 +r/n)^(nt) -1)/(r/n)

For the given initial principal and the computed payment, after 18 years, the balance will be ...

  B = $170000(1 +.072/12)^(12·18) -$1153.94((1 +.072/12)^(12·18) -1)/(.072/12)

  B = $111,054.71

The prepayment penalty appears to be ...

  (r/2)(0.80B) = (.072/2)(0.80)($111,054.71) = $3,198.38

The closest listed answer choice is ...

  A.  $3246.74

_____

Please ask your teacher how to get the answer, since none of the offered choices appear to be correct.

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16 increased by twice a number is -24 what is the solution?
Lynna [10]

Let x = the number.

"increased by" tells you we are adding.

"twice a number" tells you 2 times a number.

16 + 2x = - 24

Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.

2x = - 24 - 16

2x = - 40

Divide by 2 to isolate the variable.

x = - 40/2 = - 20

Your solution is - 20.

To check your answer, plug in.

16 + 2(-20) = - 24

16 - 40 = - 24

- 24 = - 24

3 0
3 years ago
How to solve this equation?
lilavasa [31]
I solved it on your other posting of it. x = 12
All of the steps are there
7 0
3 years ago
Read 2 more answers
For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the ch
kap26 [50]

Answer:

I believe its 30

Step-by-step explanation:

because he studied for five minutes the first day and then added five minutes per day for 6 days so i think its 30

8 0
2 years ago
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victor needs 30 feet of rope. the rope he want to buy is sold by the yard. he know that there are 3 feet in the 1 yard. how many
solmaris [256]

Answer:  10 yards

Step-by-step explanation:

Covert 30  feet into yards to find how many yards he should buy.

\frac{30}{3}  = \frac{x}{1}     Solve by cross product

3x = 30  

x = 10  

3 0
3 years ago
What is the equation of the line that passes through (4, -1) and (-2, 3)?
inessss [21]
(4,-1),(-2,3)
slope = (3 - (-1) / (-2 - 4) = -4/6 = -2/3

y = mx + b
slope(m) = -2/3
use either of ur points...(4,-1)...x = 4 and y = -1
now sub into the formula and find b, the y int
-1 = -2/3(4) + b
-1 = -8/3 + b
-1 + 8/3 = b
-3/3 + 8/3 = b
5/3 = b
so ur equation is : y = -2/3x + 5/3
8 0
3 years ago
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