haileyjarrettoujiuv
haileyjarrettoujiuv haileyjarrettoujiuv
  • 07-03-2018
  • Mathematics
contestada

A principal of $400 is invested in an account at 6% per year compounded annually. What is the total amount of money in the account after 5 years? A. $526.00 B. $531.37 C. $535.29 D. $520.00

Respuesta :

MarkV
MarkV MarkV
  • 07-03-2018
To find the outcome of compounded money, we use the following formula:
[tex]e = b \times (1 + \frac{i}{100} ) {}^{n} [/tex]

In this formula:
e represents the outcome
b represents the money at the beginning
i represents the interest rate
n represents the number of years.

Filling in this formula, we get:
[tex]e = 400 \times (1 + \frac{6}{100}) {}^{5} [/tex]
[tex]e = 400 \times 1.06 {}^{5} [/tex]
[tex]e = 535.29[/tex]
Therefore the answer is C. $535.29
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