Question

Melanie invested $9,800 in an account paying an interest rate of 4.5 compounded quarterly. Amelia invested $9,800 in an account paying an interest rate of 4.75 compounded continuously. After 20 years, how much more money would Amelia have in her account than Melanie, to the nearest dollar?

Answer 1

Answer:

$13,082.60 more

Step-by-step explanation:

Melanie:

$A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A= 12,257.36$

Amelia:

$A=Pe^(rt)\\A=9800e^(.0475*20)\\A= 25,339.95$

Amelia-Melanie= $13,082.60