business math

If Naomi decides that she will invest $3,000 per year in a 6% annuity for the first ten years, $6,000 for the next ten years, and $9,000 for the next ten years, how much will she accumulate? Treat each ten year period as a separate annuity. After ten years of an annuity, then it will continue to grow at compound interest for the remaining years of the 30 years.

asked by Heather
  1. amount
    = 3000(1.06^10 - 1)/.06(1.06)^20 + 6000(1.06^10 - 1)/.06(1.06)^10 + 9000(1.06^10 - 1)/.06
    = 387073.72

    another way:
    amount = 3000(1.06^30 - 1)/.06 + 3000(1.06^20 - 1)/.06 + 3000(1.06^10 - 1)/.06
    = 387073.72

    posted by Reiny
  2. Thank you sooooo much Reiny you are a blessing tonight.

    posted by Heather
  3. himb uhihjuhou

    posted by Anonymous

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