$(6$ points$)$ Each year for the next $10$ years, Carmen Sandiego will deposit $$4,000$ into an investment fund that pays $6\%$ compounded annually. Answer problems A through D$.$ What excel formula would you use to calculate probelms A through D $?$

a$.$ What is the present value of those investment payments if the first of $10$ deposits are made at the end of each year?

b$.$ What is the present value of those investment payments if the first of $10$ deposits are made at the beginning of each year?

c$.$ What is the present value of those investment payments if the first of $40$ deposits are made at the end of each quarter?

d$.$ What is the present value of those investment payments if the first of $40$ deposits are made at the beginning of each quarter?