Kindly answer the below questions while showing all your calculation steps and explaining your rationale in addition to providing solving method and proof using the financial calculator OR Microsoft EXCEL for the problems involving time value of monev calculation.

$1.$ Y$3$K$,$ Inc., has sales of $$6,189,$ total assets of $$2,805,$ and a debt$-$equity ratio of $1\mathrm{.}40.$ If its return on equity is $13$ percent, what is its net income?

$2.$ Assume the total cost of a college education will be $$300,000$ when your child enters college in $18$ years. You presently have $$65,000$ to invest. What annual rate of interest must you earn on your investment to cover the cost of your child's college education?

$3.$ You receive a credit card application from Shady Banks Savings and Loan offering an introductory rate of$\mathrm{.}5$ percent per year, compounded monthly for the first six months, increasing thereafter to $17$ percent compounded monthly. Assuming you transfer the $$6,000$ balance from your existing credit card and make no subsequent payments, how much interest will you owe at the end of the first year?

$4.$ Backwater Corp. has $8$ percent coupon bonds making annual payments with a YTM of $7\mathrm{.}2$ percent. The current yield on these bonds is $7\mathrm{.}55$ percent. How many years do these bonds have left until they mature?

$5.$ Apocalyptica Corp. pays a constant $$8\mathrm{.}50$ dividend on its stock. The company will maintain this dividend for the next $11$ years and will then cease paying dividends forever. If the required return on this stock is $12$ percent, what is the current share price?