Question $1$

Assume you have $$1,000$ dollars today and save it in an account that earns $5\%$ interest per year $($paid at the end of the year$).$ How much money will you have at the end of $10$ years? In this and the following questions, do not round your calculations at any point. Select the answer closest to your calculated value.

Ruastion $2$

Assume you have $$1,000$ dollars today and save it in an account that earns $5\%$ interest per year. Assuming that interest rate is an APR $($annual percentage rate$),$ meaning that you divide the annual rate by $12$ to get the monthly rate, and interest is paid at the end of each month, how much money will you have at the end of $10$ years?

Ruestion $3$

Assume you have $$1,000$ dollars today and save it in an account that earns $5\%$ interest per year. Assume that interest is paid daily and that there are $360$ days per year. Additionally, after the first month $(30$ days$),$ assume that you save an additional $$10$ on the first day of each month $($for a total of $$1,190).$ For example, the first $$10$ is saved at the start of the $31$ st day. How much money will you have at the end of $10$ years?

Question $4$

Your savings goal over $10$ years is $$10,000.$ Assume you have $$1,000$ dollars today and save it in an account that earns $5\%$ interest per year. Assume that interest is paid daily and that there are $360$ days per year. Additionally, after the first month $(30$ days$),$ assume that you save an additional amount of money on the first day of each month. How much money will you need to save at the start of each month to reach your savings goal? Note that your additional monthly savings will take place $119$ times.