Noah and Amira are saving for their daughter Nylah's college education. Nylah just turned 10 (at t = 0), and she will be

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Noah and Amira are saving for their daughter Nylah's college
education. Nylah just turned 10 (at t = 0), and she will be
entering college 8 years from now (at t = 8). College tuition and
expenses at State U. are currently $14,500 a year, but they are
expected to increase at a rate of 3.0% a year. Nylah should
graduate in 4 years--if she takes longer or wants to go to graduate
school, she will be on her own. Tuition and other costs will be due
at the beginning of each school year (at t = 8, 9, 10, and
11).

So far, Noah and Amira have accumulated $11,000 in their college
savings account (at t = 0). Their long-run financial plan is to add
an additional $4,000 in each of the next 4 years (at t = 1, 2, 3,
and 4). Then they plan to make 3 equal annual contributions in each
of the following years, t = 5, 6, and 7. They expect their
investment account to earn 8%. How large must the annual payments
at t = 5, 6, and 7 be to cover Nylah's anticipated college
costs?