Problem #$4$: John is one of your clients and is an entrepreneur. He is thinking about buying a local KinderCare franchise and is asking your opinion. The cost of the franchise todav is $$150,000$ and the franchise owner suggests that John can typically earn $$50,000$ every vear at the end of the vear. John only wants to own the business for $6$ years.

Please answer the following questions:

What is the future value of the franchise in $6$ years if the interest is $8\mathrm{.}5\%?$

John operates by the following rule: If the future value of his investment is at least $$1$ million, he will invest in the business. Given John's rule, will he purchase the local KinderCare franchise? Why or why not?