You plan to save $1,000$ dollars at the end of every year for the next $15$ years. $($You will make the

first deposit in one year, ie at t $=1.)$ The interest rate is $4\%.$ What will be your account balance in

$15$ years, immediately after the last deposit?

$14.$ You plan to save $1,000$ dollars at the beginning of every year for the next $15$ years. $($You will make

the first deposit today, ie at t $=0.)$ The interest rate is $4\%.$ What will be your account balance in $15$

years?

$15.$ You plan to save $1,000$ dollars every year, starting today and ending $15$ years from now. $($You will

make your first deposit today, ie at t $=0,$ and your last deposit in $15$ years, ie at t $=15.)$ The interest

rate is $4\%.$ What will be your account balance in $15$ years, immediately after the last deposit?