You run a school in florida. fixed monthly cost is $5,371.00 for rent and utilities, $5,502.00 is spent in salaries and $1,071.00 in insurance. also every student adds up to $99.00 per month in stationary, food etc. you charge $725.00 per month from every student now. you are considering moving the school to another neighborhood where the rent and utilities will increase to $10,110.00, salaries to $6,928.00 and insurance to $2,339.00 per month. variable cost per student will increase up to $177.00 per month. however you can charge $1,169.00 per student. at what point will you be indifferent between your current mode of operation and the new option

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 = $

You want to have $80,000 in your savings account 11 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. if the account pays 6.30 percent interest, what amount must you deposit each year? (do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?