Calculating what you need for retirement.

Click on the values that will be used as the $"$PMT$"$ in annuity formulas when you calculate what you need to have saved for retirement. Hint: $2$ items

You want to retire in $35$ years and anticipate living for another $45$ years after that. Immediately upon retirement you want to begin withdrawing $$8,000$ monthly for living expenses and also want to take a trip at the start of your third retirement year costing $$5,000,$ another at the end of year $10$ costing $$6,000$ and another two at the end of years $20$ and $35$ that will each cost $$7,000.$ You want to leave $$150,000$ to set up a scholarship in your name at Laurier when you pass away. You intend to save monthly from now until then and will put the money into an account that earns $4\%,$ compounded Semi$-$annually. You also anticipate that your Youtube channel will continue to provide royalties of $$50$ per month after you retire. How much must you save every month to make this dream possible?