You can't get a 5% return at a bank. You need to invest in medium grade bonds or something similar with a bit of risk. I am not sure what junk bonds are yielding currently, but it is probably not far off from 5%.
Great job working the problem and you have certainly uncovered how little interest your will earn keeping your money in bank savings account. Running the formulas with 5% was an excellent idea and it provides a nice contrast to the .05% and shows how meager the interest is on a savings account. Job well done. Congrats.
So my homework wants me to research a bank's interest rates and plug it in to both the simple and compound interest rate formulas, but the rate that I got from chase at
https://www.chase.com/index.jsp?pg_name=ccpmapp/individuals/savings/page/chase-plus-savings-rates
produces a ridiculously low amount of interest over 10 years.
However, when I just use the 0.05 instead of 0.0005 I get numbers that seem far more reasonable.
Here's my work using 0.05:
1. Compound Interest Investment after 10 years:
A= P(1+r/n)nt
A=7500(1+0.05/12)12*10
A=7500(1.00004167)120
A=$12,352.57
2. Simple Interest Investment after 10 years:
A=P + Prt
A=7500 + (7500)(0.05)(10)
A=7500 + 3750
A=$11,250
And then 0.0005...:
1.Compound Interest Investment after 10 years:
A= P(1+r/n)^nt
A=7500(1+.0005/12)^12*10
A=7500(1.00004167)^120
A=7500(1.005)
A=$7537.59
2.Simple Interest Investment after 10 years:
A= P + Prt
A= 7500 + (7500)(0.0005)(10)
A=7500 + 37.5
A=$7503.75