Q:

2. A bank representative studies compound interest, so she can better servecustomers. She analyzes what happens when $2,000 earns interest severaldifferent ways at a rate of 2% for 3 years. Round to the nearest cent.a. Find the interest if it is computed using simple interest. 12.00b. Find the interest if it is compounded annually. * 12.20c. Find the interest if it is compounded semi-annuallyd. Find the interest if it is compounded quarterly.e. Find the interest if it is compounded monthly.f. Find the interest if it is compounded daily.g. Find the interest if it is compounded hourly.h. Find the interest if it is compounded every minute,i. Find the interest if it is compounded continuously.

Accepted Solution

A:
Answer:Step-by-step explanation:Given that a  bank representative studies compound interest, so she can better serve  customers. She analyzes what happens when $2,000 earns interest several  different ways at a rate of 2% for 3 years.a) the interest if it is computed using simple interest. 12.00=[tex]\frac{2000(3)(12)}{100} \\=720[/tex] dollarsb) the interest if it is compounded annually.=[tex]2000(1.12)^3-2000\\= 809.86[/tex] dollarsc) the interest if it is compounded semiannually=[tex]2000(1.06)^6 -2000\\= 837.04[/tex]d) the interest if it is compounded quarterly.=[tex]2000(1.03)^12 -2000\\= 851.52[/tex]e) the interest if it is compounded monthly.=[tex]2000(1.01)^24 -2000\\= 861.54[/tex]