jim is saving for college he had 1525 in a saving account that pays 4 percent annual interest how much more will he have after 10 years than he will have after 6 years to the nearest dollar
we know that
The simple interest formula is equal to
![A=P\mleft(1+rt\mright)](https://img.qammunity.org/2023/formulas/mathematics/college/ckuxylgl1gp0fck3vvrj22bbc2zdjihi72.png)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
step 1
For t=6 years
P=$1,525
r=4%=4/100=0.04
substitute
![\begin{gathered} A=1,525(1+0.04\cdot6) \\ A=\$1,891 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/gd6cerlwm4z4xbiblvjjdi3v2s1t7zum0l.png)
step 2
For t=10 years
P=$1,525
r=4%=4/100=0.04
substitute
![\begin{gathered} A=1,525(1+0.04\cdot10) \\ A=\$2,135 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/yt05zp7wlnhquiyu4vtppw4zan2ah95p1k.png)
step 3
Find the difference
2,135-1,891=$244
answer is $244