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stira [4]
3 years ago
10

Andrea is buying a car for $21,450 she will finance $16,450 of it with a 5 year loan at 2.9% apr what will her monthly auto paym

ent be?
a.$294.85b)$363.38c) 477.66d)$706.32
Mathematics
2 answers:
irakobra [83]3 years ago
8 0
The monthly payment is A. $294.85
rjkz [21]3 years ago
5 0

Answer:

The monthly payment is $294.85.

Step-by-step explanation:

Given : Andrea is buying a car for $21,450 she will finance $16,450 of it with a 5 year loan at 2.9% APR.  

To find : What will her monthly auto payment be?

Solution :

Formula of monthly payment

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}

Discount factor D=\frac{1-(1+i)^{-n}}{i}

Where, Amount = $16,450

Rate r= 2.9%=0.029

i=\frac{0.029}{12}=0.002416

Time = 5 years  

n=5\times12=60

Now, put all the values we get,

D=\frac{1-(1+i)^{-n}}{i}

D=\frac{1-(1+0.002416)^{-60}}{0.002416}

D=\frac{1-(1.002416)^{-60}}{0.002416}

D=\frac{1-0.865}{0.002416}

D=\frac{0.135}{0.002416}

D=55.87

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}

M=\frac{16450}{55.87}

M=294.85

Therefore, Option A is correct.

The monthly payment is $294.85.

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