Leo decides to buy a car for $9600 with a 5-year finance plan that offers 0% financing for the first yearThe APR after that will be 3.9%. Interest is compounded monthly. How much will his monthly payment be if he makes payments of $150 per month during the first year?

Respuesta :

Answer:

The monthly payment of Leo for the car loan for next four years is $759.5

Step-by-step explanation:

Given as :

The loan of the car = $9600

The rate of interest for first year = 0%

The next 4 years, the rate of interest = 3.9%  compounded monthly

The amount paid for first year = $150 per months

I.e The amount paid for first month = $150 × 12 = $1800

Let The amount for next fours years = $A

Now, According to question

∵ For the first year $1800 is paid

So, The rest amount of loan = $9600 - $1800 = $7800

From compound interest

Amount = principal × [tex](1+\dfrac{\textrm rate}{12\times 100})^{\textrm 12\times time}[/tex]

Or, $A = $7800 ×  [tex](1+\dfrac{\textrm 3.9}{12\times 100})^{\textrm 12\times 4}[/tex]

Or, A =  $7800 × [tex](1.00325)^{48}[/tex]

Or,  A =  $7800 × 1.1685

∴ A = $9114.3

So, The amount paid after 4 years = A = $9114.3

Or,The amount paid after 4 years as per months = [tex]\dfrac{9114.3}{12}[/tex]

Or,The amount paid after 4 years as per months = $759.5

Hence The monthly payment of Leo for the car loan for next four years is $759.5 Answer

Answer:

$175.77

Step-by-step explanation:

For the first year: $150*12= $1,800

$9,600-1,800= $7,800

Use the Monthly Payment Formula: M=(Pr(1+r)^n) / ((1+r)^n -1)    

(7,800*(1+.039/12)^48) / (1+(.039/12)^48 -1)

=175.77

The answer above is incorrect lol