The equation Upper A (t )equals 5000 e Superscript 0.065 tA(t)=5000e0.065t gives the balance after t years of an initial investment of 50005000 dollars which pays 6.506.50% compounded continuously. a. Find a formula for StartFraction dA Over dt EndFraction dA dt b. Find and interpret Upper A prime (10 )A′(10). Include appropriate units. c. Compare the approximation of $623623 to the actual change. Report your answer to two decimal places.

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

Someone answer asap for ! the following statements are true about the coins calvin and sasha have collected. * calvin and sasha has the same amount of money. * calvin has only quarters. * sasha has dimes, nickels, and pennies * calvin has the same number of quarters as sasha has dimes. * sasha has $1.95 in coins that are not dimes. exactly how many quarters does calvin have?

8. kelly wants to buy a magazine that is $25. later the magazine was marked up an additional 20%. what is the new price?