SOLUTION: P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of the investment afte

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of the investment afte      Log On


   



Question 263110: P dollars is invested at annual
interest rate r for 1 year. If the interest is compounded
semiannually, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. Rewrite this expression
without parentheses. Evaluate the polynomial if
P = $200 and r = 10%.

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The amount is expressed as
A+=+P%281%2Br%2F2%29%5E2
step 1 - divide by P to get
%28A%2FP%29+=+%281%2Br%2F2%29%5E2
step 2 take a square root to get
sqrt%28A%2FP%29+=+1+%2B+r%2F2
step 3 - subtract 1 to get
sqrt%28A%2FP%29+-+1+=+r%2F2
step 4 - multiply by 2 to get
2sqrt%28A%2FP%29+-+2+=+r
----
P = $200 ; r = 10%.
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A+=+200%281%2B.10%2F2%29%5E2
which is
A+=+200%281%2B.05%29%5E2
and then
A+=+220.50