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- 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…Ami and Yayra entered into a business partnership with a total of 81 million Ghana cedis they agreed to contribute the capital in the ratio 2:1 respectively. The profit was shared as follow: Ami was paid 5% of the total profit for her services as the manager. Each partner was paid 3% of the capital invested. The remainder of the profit was then shared between them in the ratio of their contribution to the capital. If Ami's share of the total profit was 7.5 million Ghana cedis, calculate a) The total profit for the year to the nearest thousand cedis b) Yayra's share of the profit as a percentage of her contribution to the capitalFirst two are increase/decrease
- Find the value of APC if the C is 1123 billion and Y is 211 billion2. If the investment equation is I(t) = 8Vt² then what is the total capital after 3 years. What is the capital in between 5 to 8 years?You invest $ 500 today and receive $ 750 at the end of 5 years. to. DETERMINE the internal rate of return, using hand interpolation. Write answer to 2 decimal places
- A man borrowed P20, 000.00 from a local commercial bank which has a simple interest of 16% but the interest is to be deducted from the loan at the time that the money was borrowed, and the loan is payable at the end of one year. How much is the actual rate of interest? a.i = 0.59 or 59% (actual rate of interest) b.i = 0.39 or 39% (actual rate of interest) c.i = 0.19 or 19% (actual rate of interest) d.i = 0.79 or 79% (actual rate of interest)A company is considering three types of equipment for its manufacturing plant. Pertinent data are as follows: Турe A Туре В Туре С First cost P150,000 P200,000 P250,000 Annual operating cost P30,000 P25,000 P20,000 Annual labor cost P50,000 P40,000 P35,000 Insurance and property taxes 3% 3% 3% Payroll taxes 4% 4% 4% Estimated life 10 10 10 If the minimum required rate of return is 15%, which equipment should be selected? Use: The Rate of Return on Additional Investment Method(d) Using Growth Accounting equations derive the selow Residual.
- When MC rises, the value of AVC will also rise. True / FalseIf an index is currently 100 and increases by 50% and then decreases by 50%, the final value of the index will be?Required information Consider the following factors. 1. (FIP,21%,34) 2. (A/G,23%,45) Find the numerical values of the factors using linear interpolation. The numerical value of factor 1 is The numerical value of factor 2 is