Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their$$ child's college education. They decide to make deposits into an educational savings account on each of their$$ daughter's birthdays, starting with her first birthday. Assume that the educational savings account will return a constant$7\%.$ The parents deposit$$ $$2000$ on their$$ daughter's first birthday and plan to increase the size of their deposits by$5\%$ each year. Assuming that the parents have already made the deposit for their$$ daughter's $18$th$$ birthday, then the amount available for the$$ daughter's college expenses on her $18$th birthday is closest$$ to:

Use the following information to answer the$$ question$($s$)$ below.

Consider the following four$$ alternatives:

$1.$ $$132$ received in two years.

$2.$ $$160$ received in five years.

$3.$ $$200$ received in eight years.

$4.$ $$220$ received in ten years.

The ranking of the four alternatives from most valuable to least valuable if the interest rate is$6\%$ per year would$$ be: