Question

Tabitha transferred a balance of $7800 to a new credit card at the beginning of the year. The card offered an introductory APR of 5.2% for the first 5 months and a standard APR of 33.6% thereafter. If the card compounds interest monthly, what will Tabitha's balance be at the end of the year? Assume that Tabitha will make no payments or new purchases during the year, and ignore any possible late payment fees.)

Answer 1

The answer is $9669.65 ≈ $9670.

Explanation:

The formula to be used is :

`A=P(1+r)^(nt)`

For first part :

p = 7800

r =
`5.2/100/12=0.00433`

t = 5

`A=7800(1.00433)^(5)`

A = $7970.04

For second part:

p = 7970.04

r =
`33.6/100/12=0.028`

t = 7

`A=7970.04(1.028)^(7)`

A = $9669.65

So, the answer is $9669.65 ≈ $9670.