A boat leaves a dock at 2:00 P. M. and travels due south at a speed of 10 km/h. Another boat has been heading due east at 20 km/h and reaches the same dock at 3:00 P. M. How many minutes past 2:00 P. M. were the boats closest together?

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

In the diagram, the ratio of ab to ae is (1/2) . what is the ratio of the length of to the length of ?

Solve with work both bert and ernie received an increase in their weekly salaries. bert's salary increased from $520 to $520. ernie's salary went from $580 to $645. find the percent of increase for each salary. what was the larger of the two percents ?