Please use the following information for questions $26-29.$ Round all final answers to the nearest dollar $($but do not round intermediate calculations$).$ Do not round percentages, and report them in decimal format $($e$.$g$.81\%=0\mathrm{.}81).$

You are just graduating college and are beginning to think about your personal finances $($or perhaps you already have been!$).$ You decide that you would like to purchase a house $10$ years from now and wish to create a savings plan to meet that goal. You start your job next year and you save by depositing money into an account at the end of each year. Suppose that house prices today are $$300,000$ and grow at a rate of $3\%$ per year. Further suppose that your starting annual salary next year is $$61,800.$ Your salary grows at a rate of $3\%$ per year, and money invested in the stock market may be invested at a $5\%$ annual rate of return. Assume that money invested in the stock market can be withdrawn freely $($i$.$e$.$ with no tax implications$).$

Q$27$: Based on your answer to Q$26,$ how much money do you need to save per year while working in order to purchase a home outright in ten years if you save the same amount every year $($in dollar terms$).$