Abby Mia wants to know how much must be deposited in her local bank today so that she will receive yearly payments of $18,000 for 20 years at a current rate of 9% compounded annually.

It's annuity problem

To solve your question use the formula of the present value of annuity ordinary which is

Pv=pmt [ (1 - (1+r) ^ (-n)) : r]

Pv present value?

PMT yearly payments 18000

R interest rate 0.09

N time 20 years

So

Pv=18,000 * ((1 - (1+0.09) ^ (-20)) : (0.09))

pv=164,313.82

Future value, F = 18000

interest rate (APR) = 9% compounded annually

n=20 years

P=present value.

We know from the compound interest formula that

F=P (1+i) ^n, in other words,

P=F / (1+i) ^n

=18000 / (1+0.09) ^20

=$3211.756

You can round to the desired accuracy as you wish.