(a) You can buy $2000 worth of goods today. Instead, if you invest the $2000 at i(1) = 5.85%, you will be able to buy $2270.31 worth of goods in 5 years, taking into account that the price of goods will increase by r% for each of the next 5 years. What is the value of r?

(b) Suppose instead you could invest the $2000 at i(2) = 5.85%. Ignoring inflation, how long (in years, months, days) will it take to earn $2600 of interest?