In the general education course requirement at a college, a student need to choose one each from social sciences, humanities, natural sciences, and foreign languages. there are 5 social science courses, 6 humanity courses, 3 natural science courses, and 4 foreign language courses available for general education. how many different ways can a student choose general education courses from

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76

On january 1, 2017, pharoah company issued 10-year, $2,020,000 face value, 6% bonds, at par. each $1,000 bond is convertible into 16 shares of pharoah common stock. pharoah’s net income in 2017 was $317,000, and its tax rate was 40%. the company had 97,000 shares of common stock outstanding throughout 2017. none of the bonds were converted in 2017. (a) compute diluted earnings per share for 2017. (round answer to 2 decimal places, e.g. $2.55.) diluted earnings per share

"jake’s roof repair has provided the following data concerning its costs: fixed cost per month cost per repair-hour wages and salaries $ 20,900 $ 15.00 parts and supplies $ 7.70 equipment depreciation $ 2,800 $ 0.35 truck operating expenses $ 5,720 $ 1.60 rent $ 4,690 administrative expenses $ 3,850 $ 0.50 for example, wages and salaries should be $20,900 plus $15.00 per repair-hour. the company expected to work 2,600 repair-hours in may, but actually worked 2,500 repair-hours. the company expects its sales to be $47.00 per repair-hour. required: compute the company’s activity variances for may."