Answer:
$15,284
Step-by-step explanation:
First, you have to use the formula to calculate the future value to calculate the amount that Samantha will have after 25 years:
FV=PV*(1+r)^n
FV= future value
PV= present value= $4,643
r= rate of interest= 6%
n= number of periods of time=25
Now, you can replace the values in the formula:
FV=4,643*(1+0.06)^25
FV=4,643*(1.06)^25
FV=19,927
Then, you have to subtract the present value from the future value to find the amount of interest after 25 years:
19,927-4,643= 15,284
According to this, the amount of interest at 6% compounded annually after 25 years will be $15,284.