if a nominal interest rate of 8% is compounded continuously, determine the unknown quantity in each of the following situations.

a) what uniform end-of-year amount for 10 years is equivalent to $8000 at the end of year 10?

b) what is the persent equivalent value of $1,000 per year for 12 years?

c) what is the future equivalent at the end of the sixth year of $243 payments made every six months during the six years? the first payment occurs six months from the present and the last occurs at the end of the sixth year.