Darlene fine wants to have at least $50,000 in her savings account in 10 years. if her account pays 3.6% interest compounded annually, what should darlene's initial investment be if she plans to keep the account without making deposits or withdrawals?

The formula for interest compounded annually is A=P(1+(r/n)^nt.
In this context: A=50,000     r=0.036    n=1, since it's compounded annually (Once per year) and t=10.

Now plug in and solve for P.
50,000=P(1+(0.036/1)^(1 * 10)
50,000= 1.42 P (I just distributed).
Divide both sides by 1.42 to get a final answer of $35,105.28.