You deposit $$1,000,000$ into a bank account that pays you $4\%$ annual rate

compounded annually.

a$)(1$ point$)$ How much money you will have in your account in $1$ year? Round your answer to

the nearest dollar

b$)(1$ point$)$ How much money you will have in your account in $5$ years

c$)(1$ point$)$ How soon your balance will grow to $$1,500,000($keep at least $2$ decimal digits$)$

d$)(2$ points$)$ Assume you withdraw $X from your account each year starting next year. After you

made your $20$th withdrawal, there is nothing left in your account. Find X$.$