Alan writes the equation a=500(1.25)t to figure out how much it will cost him for a one-year loan of $500 with an interest rate of 25% compounded only once. he wants to determine the annual percentage rate (apr) for a loan that would cost the same amount overall, if it is compounded monthly, instead of only once.

which equation should he use, and what is the apr?

Anna is no more than 3 years older than 2 times jamie’s age. jamie is at least 14 and anna is at most 35. which system of linear inequalities can be used to find the possible ages of anna, a, and jamie, j?

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

Ahiker stands at an unknown elevation before he ascends 2 miles up a mountain to an elevation of 9 miles. find the elevation of the hiker before his ascent.