Retirement annuity.?

Question

Retirement annuity. When she is 30, Sue starts making annual deposits of $2,000 into a bond fund that pays 8% annual interest compounded continuously. Assuming that her deposits are made as a continuous income flow, how much money will be in her account if she retires at age 55?

Answer 1

if she puts in $2000 each year from age 30 to age 55 the money at the end of yr 55 would be the sum of all inputs

total length of investment is 26 yrs

so the total amount is

2000*(1+0.080)^26  + 2000*(1+0.080)^25 + 2000*(1+0.080)^24 + 2000*(1+0.080)^23 + ...... + 2000*(1+0.080)^1

= 159,908