Question
Ted invests 5,670 in a savings account with a fixed annual interest rate of 4% compounded 4 times per year will the account balance be after 4 years?
Solution
4.2
(174 Votos)
Avalon
Mestre · Tutor por 5 anos
Resposta
To solve this problem, we need to use the formula for compound interest:
Where:-
is the amount of money accumulated after
years, including interest.-
is the principal amount (the initial amount of money).-
is the annual interest rate (in decimal).-
is the number of times that interest is compounded per year.-
is the time the money is invested for, in years.Given:-
-
(since the interest is compounded 4 times per year)-
yearsNow, plug these values into the formula:
First, calculate the term inside the parentheses:
So,
Next, raise this to the power of
:
Finally, multiply this by the principal amount
:
Therefore, the account balance after 4 years will be approximately \$6,605.23.