Problem $5-50$ Variable Interest Rates $[$LO $1]$

A $10-$year annuity pays $$2,900$ per month, and payments are made at the end of each month. The interest rate is $8$ percent compounded monthly for the first six years, and $6$ percent compounded monthly thereafter. What is the present value of the annuity? Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Answer is complete but not entirely correct.

$\backslash$table$[[\backslash$table$[[$Present$],[$value$]],$$$,251,946\mathrm{.}30x$