Use the compound interest formulas a = pe^rt and a = p (1+rn)^nt to solve. suppose that you have $11,000 to invest. which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually? show your work.

To evaluate the investment that will yield maximum return, we compute the future values of the investment.
Given the compound interest formula for continuously compounded rate:
A=Pe^rt
where:
P=principle, r=rate, t=number of terms
P=$11000, r=6.25, t=1
thus
A=11000e^(0.0625*1)
A=$11,709.44

A=P(1+r)^nt
P=$11000, r=6.3%, n=2, t=1
Thus
A=11000(1+0.063)^2
A=$12,429.659
From the calculations we conclude that the second investment is the best option because it is yielding high returns.