A friend has just come up with a new invention. She has called you to invest in her new company. She

promises that, if you send her money today, she will return $$20,000$ to you $1$ year from now, with this payout

increasing by $6\%$ per year through the end of Year $5.$ If you require a return of $12\%$ on this sort of venture,

what is the most you should be willing to invest?

ROUND YOUR ANSWER TO $2$ DECIMAL PLACES, AND DO NOT ENTER A DOLLAR SIGN