Manvir wants to accumulate $$43,000$ in a fund with payments of $$1,700$ made at the

end of every quarter. The interest rate is $6\mathrm{.}27\%$ compounded quarterly.

a$.$ How many payments $($rounded up to the next payment$)$ will it take to accumulate

this amount?

$25$ payments

$16$ payments

$21$ payments

$22$ payments$10$ payilieils

$21$ payments

$22$ payments

b$.$ How long will it take to accumulate this amount?

$7$ years and $6$ months

$8$ years and $4$ months

$7$ years and $6$ months

$5$ years and $6$ months