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Problem 1: How much money you need to invest today at 7% interest rate to accumulate $1000 in 7 years? Round your answer to the nearest cent. Problem 2: If you invest $1000 today, how long will it take to quadruple your investment (i.e., when your investment will grow to $4000) if interest rate is equal to 2%? Round your answer to the nearest year. Problem 3: You invested $1000 today and ended up with $1500 in 5 years, what is your annual interest rate? Keep at least 4 decimal digits. Problem 4: You deposit $10,000 into your saving account at t=0. You withdraw $2000 at t=2 and $5,000 at t=6. The interest rate s 6%. How much money will be in your saving account at t=7? Round your answer to the nearest cent. Problem 5: You deposit money into your saving account each year starting next year (i.e., at t=1) for 20 years. The interest rate is 5%, your first deposit is $1000, and each year your deposit is by 3% higher than it is in the previous year. How much money will be in your account right after your last (20th) deposit? Round your answer to the nearest cent