Answer:
The correct answer is C. 8.15%.
Step-by-step explanation:
Given that Natasha is a bank teller, and she received a 5% raise last year and a subsequent merit raise of 3% this year, to determine what is the accumulative or compound effect of these two raises as a percentage, the following calculation must be performed, assuming, as an example, that her starting salary was $ 2,000:
(2,000 x 1.05) x 1.03 = X
2,100 x 1.03 = X
2,163 = X
2,000 = 100
2,163 = X
2,163 x 100 / 2,000 = X
216,300 / 2,000 = X
108.15 = X
108.15 - 100 = 8.15
Thus, the compound effect of both salary increases is a salary increase of 8.15%.
Answer:
74
Step-by-step explanation:
Create rectangles by moving triangular pieces around:
Triangle A fits at location A', so you get a rectangle of 9*6 = 54 ft²
Triangle B fits at location B', so you get a rectangle of 5*4 = 20 ft²
totals to 20+54=74 ft²
Think of the right triangle formed by the ladder, the height of the upper end of the ladder and the distance of the bottom of the ladder from the wall.
Then x = 6 ft and the hyp is 10 ft. The trig function cos theta equals "adj side" / hyp, so, in this case,
cos theta = 6/10 = 0.6. Use the arccos x function on your calculator to find the angle x:
x = 0.927 (radians) = 53.1 degrees.