Carl Patterson likes investing in stocks that pay dividends. Carl owns 25 shares of a local utility company. The stock pays a regular annual dividend in the amount of $3 per share and the company has indicated that the dividend will stay the same for a long time. If Carl reinvests his dividends each year and the dividends earn a return of 6 percent each year, how much will Carl accumulate in 15 years?

When a company produces and sells x thousand units per week, its total weekly profit is p thousand dollars, where upper p equals startfraction 800 x over 100 plus x squared endfraction . the production level at t weeks from the present is x equals 4 plus 2 t. find the marginal profit, startfraction dp over dx endfraction and the time rate of change of profit, startfraction dp over dt endfraction . how fast (with respect of time) are profits changing when tequals8?