9.2 (LG 9.2) Find the real amounts (with today as the base year) corresponding to the current amounts shown below for a 4 percent inflation rate. a. $400 three years from now b. $400 three years ago c. $10 next year d. $350 983 in 10 years from now e. £l one thousand years ago f. $1 000 000 000 three hundred years from now

Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies the differential equation y' = 0.05y - 12,500. (a)Suppose that after one year the balance is $230,000. Is the balance increasing or decreasing at that time? At what rate is it increasing or decreasing at that time? (b)Write the differential equation in the form y' = k(y - M). (c)Describe the differential equation in words. %3D %3D (a) The balance is decreasing at a rate of $ - 1000 per year. (b) y' = .05(y - 230000) (c) Choose the correct answer below. A. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. B. The rate of change of the savings account balance is proportional to the difference between the balance at the end of t years and $250,000. C. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always decreasing. D. The differential equation gives the…

Only typed Answer

You plan to start saving money by depositing $5000 into your savings account now. Also, you estimate that you will make a deposit of $200 each year for the next 9 ears. What would be the future worth if the investment interest rate is 7% per year? (solve using both tables and rules)