9.3 (LG 9.1, 9.2) Find the present worth today in real value corresponding to the cur- rent values shown below for a 4 percent inflation rate and a 4 percent interest rate. a. $400 three years from now b. $400 three years ago c. $10 next year

An investor has £13,000 in a fund generating a 5% return, with a 2.5% initial cost and an annual charge of 0.5%.  What would that fund be worth after 5 years?  Use the equation M = P (1+i)n  to calculate the fund value.

The council members of a small town have decided that the earth levee that protects the town from flooding should be rebuilt and strengthened. The town engineer estimates that the cost of the work at the end of the first year will be $68,000. He estimates that in subsequent years the annual repair costs will decline by $7000, making the second-year cost $61,000; the third-year $54,000, and so forth. The council members want to know what the equivalent present cost is for the first 5 years of repair work if interest is 6%.

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…