Fenway Athletic Club plans to offer its members preferred stock with a par value of $$100$ and an annual dividend rate of $6\%.$ What price should these members be willing to pay for the returns

they want?

a$.$ Theo wants a return of $10\%.$

b$.$ Jonathan wants a return of $11\%.$

c$.$ Josh wants a return of $14\%.$

d$.$ Terry wants a return of $17\%.$

a$.$ If Theo wants a return of $10\%,$ what price should he be willing to pay?

$($Round to the nearest cent.$)$