Krista is doing some long$-$term financial planning. She has made it a goal to have $\backslash (\backslash$$ $97,854\backslash )$ saved by the end of year $16.$ Today, Krista deposited $\backslash (\backslash$$ $36,509\backslash )$ into an account paying $\backslash (3\backslash \%\backslash )$ compounded annually. At the end of year $5,$ she will withdraw $\backslash (\backslash$$ $23,300\backslash )$ to payoff a loan. Krista anticipates receiving a substantial inheritance of at least $\backslash (\backslash$$ $86,505\backslash )$ at the end of year $8.$ She knows she will need to deposit part of the inheritance to reach her financial goal of $\backslash (\backslash$$ $97,854\backslash )$ by the end of year $16,$ but she would like to use the rest of the inheritance to do some remodeling on her house. How much of the inheritance can Krista use towards remodeling in year $8?$

Hint: Read the problem carefully. This is not asking how much to deposit in year $8.$