$(15$ Points$)$ John, a recent graduate at $22,$ has just started working in a tech company with an annual

salary of $$87,000.$ His financial goal is to independently fund his retirement without relying on employer

pension plans or Social Security. John aims to accumulate $$1\mathrm{.}25$ million by the time he turns $67.$ He is

confident of achieving an average annual interest rate of at least $4\%$ on his investments.

Assuming John starts making equal annual deposits into his retirement fund starting from his $23$rd

birthday and continues through his $67$th birthday, the question arises: What annual investmentamount is

required to achieve his retirement savings goal of $$1\mathrm{.}25$ million?

$x_1=40,x_2=45$