Question 2: a) A student invests a same amount of $P at the beginning of each year for 10 years in an account offering a return rate of 4% compounded annually. Find P if the value of the fund at the end of the 10th year is $10000 (Give your answer to the nearest cent). b) Find the present value of an annuity that yields an income of $1000 at the end of each month for 5 years, assuming that the interest rate is 6% compounded monthly (Give your answer to the nearest cent)