For how many integersn is ~$2^{n}=n^{2}$~ ?

If in a certainpopulation, people are born at an average rate of 9 people every 2 seconds andpeople die at an average rate of 3 people every 2 seconds, by approximately howmany people does the population increase in 1 day?

For which of the following functions is ~$f\left ( a+b \right )=f\left ( a \right )+f\left ( b \right )$~ for all positive numbers a and b ?

Alice's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did not save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?

Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?

In the graduatingclass of a certain college, 48 percent of the students are male and 52 percentare female. In this class 40 percent ofthe male and 20 percent of the female students are 25 years old or older. If one student in the graduating class israndomly selected, approximately what is the probability that he or she will beless than 25 years old?

If n is a multiple of5 and ~$n=\left ( p^{2} \right )q$~, where p and q areprime numbers, which of the following must be a multiple of 25 ?

A small water pump would take 2 hours to fill an empty tank. A larger pump would take 1/2 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?

Which of the following inequalities has a solution set that, when graphed on the number line, is a single line segment of finite length?

An auction housecharges a commission of 15 percent on the first $50,000 of the sale price of anitem, plus 10 percent on the amount of the sale price in excess of$50,000. What was the sale price of apainting for which the auction house charged a total commission of $24,000 ?