You are saving up to buy a second home. You would like to have $$40,000$

saved in four years as a downpayment. Next month, you plan on putting

$$750$ into an investment account that earns $\mathrm{.}0029(\mathrm{.}29\%)$ per month. Each

month thereafter, you will continue to contribute, where each payment is

$\mathrm{.}0024(\mathrm{.}24\%)$ larger than the payment before it$.$ In other words, you will

put in $$750$ starting next month, and each payment will be bigger than

the one before by $\mathrm{.}0024.$ When you put your last payment into the

account in four years, will you have enough saved?