Q$1-$ You buy a $$35,000$ vehicle for nothing down at $$8,500$ per year for $7$ years. Use the bisection method to determine the interest rate i that you are paying. Employ initial guesses for the interest rate of $x_l=0\mathrm{.}05$ and $x_u=0\mathrm{.}2.$ The formula relating present worth $P=$$$35,000,$ annual payments $A=$$$8,500,$ number of years $n=7,$ and interest rate $i$ is:

$A=P\frac{i(1+i{)}^n}{(1+i{)}^n-1}$

Use bisection method to compute four iterations, calculate ${}_a,$ is the results convergent or divergent?