SOLUTION: Vanessa invested $10,000 at 2% simple annual interest for 2 years. At the end of the 2 years, she took her principal and interest and invested it at 5% simple annual interest for 3

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Vanessa invested $10,000 at 2% simple annual interest for 2 years. At the end of the 2 years, she took her principal and interest and invested it at 5% simple annual interest for 3      Log On

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Question 1124818: Vanessa invested $10,000 at 2% simple annual interest for 2 years. At the end of the 2 years, she took her principal and interest and invested it at 5% simple annual interest for 3.5 years. What is the total amount she has at the end of the 5.5 years?
Answer by Theo(13342) About Me  (Show Source):
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simple interest is based on the original principal.

the formula is i = p * r * n

i is the interest
p is the principal
r is the interest rate per time period.
n is the number of time periods.

she invest 10,000 at 2% for 2 years.

the interest is 10,000 * .02 * 2 = 200 * 2 = 400.

she then added the interest to the principal to get 10,400 and invested that at 5% for 3.5 years.

the interest on that investment is 10,400 * .05 * 3.5 = 1820.

she added that to the principal to get 10,400 + 1820 = 12,220.

that's what she had at the end of the 5.5 year investment period.