Final answer:
The yearly rate of appreciation for the apartment is approximately 11%.
Step-by-step explanation:
To find the yearly rate of appreciation, we first need to calculate the increase in value of the apartment over three years. The increase is $86,515 - $65,000 = $21,515. Next, we divide the increase by the original value of the apartment, $65,000, and multiply by 100 to find the percentage increase. So, the percentage increase is ($21,515/$65,000)*100 = 33.1%. Therefore, the yearly rate of appreciation is 33.1%/3 = 11.03%. Rounding to the nearest whole number, the yearly rate of appreciation is approximately 11%.