1. Suppose you won the lottery and decided to invest your winnings instead of spending them. You put $50,000 into an account that pays 4.25% simple interest per year. a) Write the equation that shows the balance after t years. b) Is this equation linear or exponential? c) How much is in the account after 10 years? d) How many years until the balance reaches $70,000? 2. Calculate the following: a) log(1) b) log(5) c) log(10) d) log(20) / log(7)