Use the appropriate table to solve the following problems. $[$Indicate which Table you used and show all your work$](10$ pts$.)$

$(1)$ In order to have $$300,000$ for a child's education in $10$ years, what amount should a parent deposit in a savings account that earns $12\%$ interest per year?

$(2)$ You just inherited a lump sum of $$250,000.$ You have decided to invest this sum and withdraw an equal amount each year for $10$ years. How much can you withdraw each year and have a zero balance at he end of the $5$ years if you invest the lump sum at $7\%$ compounded annually?

$(3)$ In $4$ years you are planning a round$-$the$-$world trip which will cost $$80,000.$ What amount would you need to deposit today, assuming that your deposit will earn $5\%$ annually?

$($s$)$ You are planning to go to graduate school in a program of study that will take three years. You will require $$100,000$ per year for school and living expenses. If you earn $12\%$ on a savings account, what amount must you deposit at the start of your study program to be able to withdraw $$100,000$ a year for the three years?