SOLUTION: Compounded semi-annually. 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

Question 189665: Compounded semi-annually. 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 parenthesis. Evaluate the polynomial if P=$200 and r = 10%.
this is the answer I got
a. P + 2�P+ Pr�
b. 200(1+ 10/100.2)^2
200(1+0.05)^2 = 200 multiply 0.0025 =$50.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)

Start with the given expression.

FOIL

Multiply

Distribute

Rearrange the terms.

------------------------------------

b)

There are two ways to do this:

Method #1:

Start with the original expression

Plug in and

Divide

Combine like terms.

Square 1.05 to get 1.1025

Multiply

So after a year, we have $220.50 in the account

--------------------------------

Method #2:

Start with the expanded polynomial (from part a)

Plug in and

Square 0.1 to get 0.01

Divide

Multiply

Combine like terms.

So using either method, we get $220.5

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