Harrison and sherrie are making decisions about their bank accounts. harrison wants to deposit $200 as a principle amount, with an interest of 2% compounded quarterly. sherrie wants to deposit $200 as the principle amount, with an interest of 4% compounded monthly. explain between which of the two methods result in more money after 2 years.

Deposit: $200
interest rate: 2% compounded quarterly 
compound interest formula: a=p(1+r/n)^nt, p=initial investment,r=interest rate, n=number of compounding periods per year,a=amt after t years
p=200
r=2%=
n=4
a=200(1+.04/4)^4*2=200(1+.02/4)^8=200(1+.005)^8=200(1.005)^8=208.14 
p=200
r=4%=
n=12
a=200(1+.04/12)^12*2=200(1.0033)^24=216.62 
therefore, the second method results to more money earned after 2 years.
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