A union contract guarantees an 8% salary increase each year for 3 years. For a current salary of $40,000, the salaries f(t) (in thousands of dollars) for the next 3 years are given by f(t) = { 40,000, 0 < t ≤ 1; 43,200, 1 < t ≤ 2; 46,656, 2 < t ≤ 3
where t represents the time in years. Show that the limit of f as t → 1 does not exist.
lim f(t) =
t→1−

lim f(t) =
t→1+

Determine the number of girls in a math class with 87 boys if there are 25 girls for every 75 boys

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.

Anew test for ra is being developed. the test is administered to 750 patients with ra and 750 without ra. for the sake of the question, assume the prevalence of ra in this population is 50%. of the 750 patients with ra, 575 have a positive result. of the 750 patients without ra, 150 have a positive result. what is the positive predictive value of the new test? a575/(575+150) b. 600/(600+ 150) c. 575/(575+125) d. 600/(600+ 125)