De shawn is in his fifth year of employment as a patrol officer for the metro police. his salary for his first year of employment was $47,000. each year after the first, his salary increased by 4% of his salary the previous year.

to obtain the sum of deshawn's salaries for the first five years of service, we can use f(x)=47,000(1.04)^x , where x gives the salary x years after his first year.

salary after 5 years = f(0) + f(1) + f(2) + f(3) + f(4) +f(5) = $245,567.

if deshawn continues his employment at the same rate of increase in yearly salary, for which year will the sum of his salaries first exceed $1,000,000?

(the answer should be 16, but i don't know how to get it.)

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.

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.

Adecorative window is made up of a rectangle with semicircles at either end. the ratio of ad to ab is 3: 2 and ab is 30 inches. what is the ratio of the area of the rectangle to the combined area of the semicircles? possible answers: a. 2: 3 b. 3: 2 c. 6: π d. 9: π e. 30: π