Please use the formula approach or calculator approach $($no Excel approach$),$ and answer the following questions:

Suppose you invest the $$1,000$ from the previous example $($S$\mathrm{.}13$: the interest rate is $6\%)$ for $5$ years. How much would you have?

Suppose you had a relative deposit $$10$ at $5\mathrm{.}5\%$ interest $200$ years ago. How much would the investment be worth today?

Suppose your company expects to increase unit sales of widgets by $15\%$ per year for the next $5$ years. If you currently sell $3$ million widgets in one year, how many widgets do you expect to sell in $5$ years?

Suppose you have $$500$ to invest and you believe that you can earn $8\%,$ per year over the next $15$ years. How much would you have at the end of $15$ years using compound interest?

Suppose you need $$10,000$ in one year for the down payment on a new car. If you can earn $7\%$ annually, how much do you need to invest today?

You want to begin saving for your daughter's college education and you estimate that she will need $$150,000$ in $17$ years. If you feel confident that you can earn $8\%$ peryear, how much do you need to invest today? $7.$ Your parents set up a trust fund for you $10$ years ago that is now worth $$19,671\mathrm{.}51.$ If the fund earned $7\%$ per year, how much did your parents invest?

Suppose you need $$15,000$ in $3$ years. If you can earn $6\%$ annually, how much do you need to invest today? If you could invest the money at $8\%,$ would you have to invest more or less than at $6\%?$ How much?