Erica's parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if the interest is paid monthly?

Respuesta :

Answer:

$28.84

Step-by-step explanation:

In this question, Erica's money saved with a 7.5% annual/yearly interest. The interest paid monthly, so it compounded monthly. If the deposit is $500 at the start, then the number of money after 9 months will be:

final money= initial money x (100% + annual rates/12)^duration

[tex]final money = $500 x(100%+7.5%/12)^9\\final money = $500 x (1.00625)^9\\final money = $528.84[/tex]

The interest will be:

final money= initial money + interest

interest= final money - initial money

interest= $528.84- $500= $28.84