Consider a credit card with a balance of $8500 and an APR of 15.99%. In order to pay off the balance in 3 years, what monthly payment would you need to make?

Respuesta :

Answer:

The monthly payment which need to make is $ 151.305

Step-by-step explanation:

Given as :

The balance in credit card = $ 8500

The annual rate = 15.99 %

The time period = 3 years

From compounded method

Amount = Principal × ( [tex](1+\dfrac{\textrm rate}{100})^{\textrm Time}[/tex])

Or, 8500 = p  × ( [tex](1+\dfrac{\textrm 15.99}{100})^{\textrm 3}[/tex])

or, 8500 = p × (1.1599)³

or, 8500 = p × 1.56049

∴ p  = [tex]\frac{8500}{1.56049}[/tex]

I.e p = 5447.007

Now The months in 3 years = 3 × 12 = 36 months

So ,  The monthly payment = [tex]\frac{5447.007}{36}[/tex] = $ 151.305

Hence The monthly payment which need to make is $ 151.305  Answer