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Problem 2: (11 points) Kyle and Caroline would like to buy a home. However, they live in California, just outside of San Francisco so houses are VERY expensive. They think they can find a decent house for about $850,000. To purchase the home they need 20% of the cost of the home as a down payment and the rest they will take out a mortgage loan. Kyle has decided he can save $355 a month from his current paycheck and Caroline can say $425 a month from her paycheck. They will put their savings into an account that earns 3% compounded monthly. a) How many years will they need to save to be able to purchase an $850,000 home? b) Once they purchase the home, what is their mortgage payment on a 30-year mortgage assuming the interest on the mortgage is 2.75% compounded monthly