You invested $$10,000$ on the first day of $2016,$ at $7\%$ interest compounded annually.

You plan to cash out the investment on January $1,2026.$ The average inflation rate is

$3\mathrm{.}7\%.$

At the beginning of your investment, there was a motorcycle that would have cost

$$8,000.$ Over the years, motorcycles are inflating at a rate of $7\%.$ You were also

interested in GPS system which cost was $$4,000$; price for similar GPS systems are

reducing at a $2\%$ rate. If you decide to buy a motorcycle with the GPS system when

you cash out your investment: How much cash will you have left over $($or be short$)$

after you buy both items?

$-$$$941\mathrm{.}67$

$$0($break$-$even$)$

$$1,732\mathrm{.}03$

$$666\mathrm{.}01$