. Earl purchased a living room set for $3,592 using a 12-month deferred payment plan. The interest rate after the introductory period is 21.80%. A down payment of $275 is required as well as a minimum monthly payment of $112. What is the balance after the introductory period if only the minimum payment is made until then?

Respuesta :

Im a little confused a bit, but the total with the down payment + the 12 months of paying which is $112 a month im assuming with the 21.8%, i got $1,971.94 is what they pay, so would the answer be $1,620.06?

Answer:

The required answer is $2839.25.

Step-by-step explanation:

[tex]112\times12=1344[/tex] dollars

Plus down payment = [tex]1344+275=1619[/tex] dollars

Now, compound interest is found as:

[tex]A=p(1+\frac{r}{n})^{nt}[/tex]

p = 3592

r = 21.80% or 0.2180

n = 12

t = 1

Substituting the values in formula:

[tex]A=3592(1+\frac{0.2180}{12})^{12}[/tex]

=> [tex]A=3592(1.018167)^{12}[/tex]

A = $4458.25

So, Balance = [tex]4458.25-1619=2839.25[/tex] dollars

Therefore, the required answer is $2839.25.

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