Calculate the amount they will need to save each year to reach that number. Hint: You know they have already saved something, that is their current, or present value. You know what they need in the future (calculated in question #11). The number of years until they reach retirement and the interest rate are given, solve for the required annual payment. It is critical that you watch your signs... remember that the starting amount and the payments are both deposits (or inputs) while the retirement will be a withdrawal (or output). How much do they need to save annually to accomplish their retirement goal? Enter the answer as a whole, positive number.

Auniversity spent $1.8 million to install solar panels atop a parking garage. these panels will have a capacity of 400 kilowatts (kw) and have a life expectancy of 20 years. suppose that the discount rate is 20%, that electricity can be purchased at $0.10 per kilowatt-hour (kwh), and that the marginal cost of electricity production using the solar panels is zero. hint: it may be easier to think of the present value of operating the solar panels for 1 hour per year first. approximately how many hours per year will the solar panels need to operate to enable this project to break even? a. a.3,696.48 b.14,785.92 c.9,241.20 if the solar panels can operate only for 8,317 hours a year at maximum, the project (would/would not)break even?

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

Thomas kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. thomas's fastest-moving inventory item has a demand of 6,000 units per year. the cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. the average ordering cost is $30 per order. it takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (this is a corporate operation, and the are 250 working days per year.)a) what is the eoq? b) what is the average inventory if the eoq is used? c) what is the optimal number of orders per year? d) what is the optimal number of days in between any two orders? e) what is the annual cost of ordering and holding inventory? f) what is the total annual inventory cost, including cost of the 6,000 units?