SOLUTION: Ginette invests $12,000 in an account paying compound interest for 2 years. In the first year the rate of interest is x% At the end of the first year, the value of Ginette's inv

Algebra ->  Finance -> SOLUTION: Ginette invests $12,000 in an account paying compound interest for 2 years. In the first year the rate of interest is x% At the end of the first year, the value of Ginette's inv      Log On


   



Question 1193208: Ginette invests $12,000 in an account paying compound interest for 2 years.
In the first year the rate of interest is x%
At the end of the first year, the value of Ginette's investment is $12,336.
In the second year the rate of interest is x/2 %
What is the value of Ginette's investment at the end of 2 years?

Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
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To find the interest rate x in the first year, divide 12336 dollars by 12000 dollars. You will get

    12336%2F12000 = 1.028.


Thus the effective growth coefficient is 1.028.  Hence, the annual compound interest in the first year is 2.8%.


In the second year, the annual interest rate is half of it, i.e.  0.028/2 = 0.014,

or the growth multiplicative coefficient of the compound interest in the second year is 1.014.


Hence, the amount after the second year will be

    12336*1.014 = 12508.70  dollars.     ANSWER

Solved.

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To see many other similar  (and different)  solved problems on compounded interest accounts,  look into the lesson
    - Compounded interest percentage problems
in this site.

Learn the subject from there.