Because of a chronic water shortage in California, new athletic fields must use artificial turf or xeriscape landscaping. If the value of the water saved each quarter is $$3500,$ how much can a private developer afford to spend now on artificial turf provided he must recover his investment in $5$ years. Use an interest rate of $9\mathrm{.}00\%$ per year, compounded continuously?

The private developer can afford to spend $