SOLUTION: You considering investing $1,500 at an interest rate of 5% compounded annually for 2 years or investing the $1,500 at 7% per year simple interest rate for 2 years. Which option i

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: You considering investing $1,500 at an interest rate of 5% compounded annually for 2 years or investing the $1,500 at 7% per year simple interest rate for 2 years. Which option i      Log On

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Question 970977: You considering investing $1,500 at an interest rate of 5% compounded annually for
2 years or investing the $1,500 at 7% per year simple interest rate for 2 years.
Which option is better?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
You considering investing $1,500 at an interest rate of 5% compounded annually for
2 years or investing the $1,500 at 7% per year simple interest rate for 2 years.
Which option is better?
Use the compound interest formula for the final amount A:

A%22%22=%22%22P%2A%281%2Br%2Fn%29%5E%28n%2At%29

Substituting:

P = 1500 <--the amount you start with.
r = 0.05 <--5% expressed as a decimal
n = 1    <--"annually" means the number of times per year interest is compounded
         is 1 time per year.
t = 2    <--the number of years.

A%22%22=%22%221500%2A%281%2B0.05%2F1%29%5E%281%2A2%29

Punch that out on your calculator like this:

1500×(1+0.05÷1)^(1×2)=

and get $_____  (you do it!)

Then use the simple interest formula for the final amount A:

A%22%22=%22%22P%2BP%2Ar%2At%29

substituting:

P = 1500 <--the amount you start with.
r = 0.07 <--7% expressed as a decimal
t = 2    <--the number of years.

A%22%22=%22%221500%2B1500%2A0.07%2A2%29

Punch that out on your calculator like this:

1500+1500×0.07×2=

and get $_____  (you do it!).

Then you can answer which option is better.

Edwin