You want to accumulate $40000 at an annual interest rate of 8.1% compounded quarterly for 19 years. Find the starting principal.

Write an explicit formula that represents the sequence defined by the following recursive formula:

The soup shack usually makes tomato soup with 99 tomatoes for every 1212 cups of soup. today, they made 88 cups of soup with 66 tomatoes. how does today's soup compare to the usual recipe?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)