In $2018,$ selected automobiles had an average cost of $$23,000.$ The average cost of those same automobiles is now $$37,950.$ What was the rate of increase for these automobiles between the two time periods?

Note: Enter your answer as a percentage.

If you desire to have $$25,000$ for a down payment for a house in six years, what amount would you need to deposit today? Assume that your money will earn $4$ percent. Use the appropriate factor$($s$)$ from the tables provided $($Exhibit $1-$Av$.$ Exhibit $1-$B$,$ Exhibit $1-$C$.$ Exhibit $1.$

D$)$

Note: Use appropriate factor$($s$)$ from the tables provided. Round time value factor to $3$ decimal places and final answer to the nearest whole number.