Assume that you have a balance of $4000 on your Discover credit card and that you make no more charges. Assume that Discover charges 24% APR and that each month you make only the minimum payment of 3% of the balance.What will the balance be after 8 years? round

Respuesta :

Given:

[tex]\text{Monthly rate=}\frac{24}{12\times100}[/tex][tex]\text{Monthly rate=}0.02[/tex]

Each month amount increse by a factor 1.02

Each month balance decrease by a factor 0.97

[tex]\text{Total factor= (1.02)(0.97)}[/tex][tex]\text{Total factor=}0.9894[/tex]

Balance after 8 years:

[tex]=4000(0.9894)^{96}[/tex][tex]=\text{ \$1438}.01[/tex]

The balance after 8 years is $1438.01