b$.$ What is the relationship between the present$-$value factor and the annuity present$-$value factor?

c$.$ i$.$ What will $$3,800$ invested for $11$ years at $14$ percent compounded annually grow to$?$

ii$.$ How many years will it take $$410$ to grow to $$1,032\mathrm{.}45$ if it is invested at $8$ percent compounded annually?

iii. At what rate would $$1,900$ have to be invested to grow to $$90,086\mathrm{.}83$ in $26$ years?

d$.$ Calculate the future sum of $$1,200,$ given that it will be held in the bank for $19$ years and earn $17$ percent compounded semiannually.

e$.$ What is an annuity due? How does this differ from an ordinary annuity?

What is the present value of an ordinary annuity of $$1,600$ per year for $29$ years discounted back to the present percent? What would be the present value if it were an annuity due?

g$.$ What is the future value of an ordinary annuity of $$1,600$ per year for $29$ years compounded at $13$ percent? What would be the future value if it were an annuity due?

h$.$ You have just borrowed $$230,000,$ and you agree to pay it back over the next $15$ years in $15$ equal end$-$of$-$year navments nlus $8$ nercent commound interest nn the unnaid halance. What will he the size of these navments?

$$16059\mathrm{.}68($Round to the nearest cent.$)$