$6.$ Ahmed just turned $23$ and wants to have $$9,083$ saved in $7$ years, by his $30$ th birthday. Assuming no additional deposits, if he currently has $$5,300$ in an intermediate$-$term bond fund earning a $6$ percent yield, will he reach his goal? If not, what rate of return is required to meet his goal?

$7.$ If another Austin Powers movie had been released in $2022$ and Dr$.$ Evil, now armed with a financial calculator, wants to hold the Earth ransom for $$10,000,000,$ what inflation rate would Dr$.$ Evil use to make his ransom equivalent to $$1$ million in $1971?($Hint: Inflation is compounded on an annual basis.$)$