Scarlett has $$25,000$ available today to invest for $20$ years. Scarlett desires an investment fund balance of $$100,000$ at that time. What interest rate $($compounded annually$)$ must Scarlett earn to reach the desired balance in $20$ years?

Enter the percent rounded to two digits$$after the decimal; enter $2\mathrm{.}04$ for $2\mathrm{.}044\%$ or $2\mathrm{.}05$ for $2\mathrm{.}045\%.$