:merv has two jobs. he earns a salary of $45,000 per year as an accountant and $10.50 per hour at his part-time job. merv earned $48,570 last year. let h represent the number of hours merv worked at his part-time job. is the statement true or false?

the total amount merv made working at his part-time job can be found by dividing: 48,570 10.50 the total amount merv made working at his part-time job can be found by subtracting 48,570 – 45000 an equation that models how many hours merv worked at his part-time job is: 3570 = 10.50h an equation that models how many hours merv worked at his part-time job is 48,570 = 10.50h merv worked about 4626 hours at his part-time job. merv worked exactly 340 hours at his part-time job.

(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

8. kelly wants to buy a magazine that is $25. later the magazine was marked up an additional 20%. what is the new price?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.