Question $3$: You are currently thinking about starting a fund for your kid's future. You want to deposit $$4,000$ every year for $35$ years with an annual increase of $$750.$ At the end of the $35||$ years, how much will you have accumulated for your kids? Consider an interest rate of $6\%.$

a$)4,101,712\mathrm{.}82$

b$)96,644\mathrm{.}44$

c$)182,299\mathrm{.}28$

d$)1,401,172\mathrm{.}82$

e$)$ None of the above

Question $4$: Every year for $10$ years starting year $2,$ you deposit $$2000$ in a savings account that earns $7\%$ yearly. What is the present value of this series?

a$)14,720\mathrm{.}20$

b$)13,887\mathrm{.}04$

c$)27,632\mathrm{.}90$

d$)3,934\mathrm{.}30$

e$)$ None of the above