Answer:
420 unique combinations.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
One object from each set:
2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:
2*5*6*7 = 10*42 = 420
420 unique combinations.
Answer:
12.5%
Step-by-step explanation:
First we need to calculate the change in the area of Terry's room this is
108 ft2 - 96 ft2 = 12 ft2
Then we use a direct proportion in order to find the percentage
96 ft2 ----- 100%
12 ft2 ----- p?
Solvin for p we have that

p=12.5
Answer:
51. A/P = (2.2t +25)/(2.6t +29)
52. A/P for t=0 is about 0.862
A/P for t=4 is about 0.858
Step-by-step explanation:
51. The ratio of the two given functions is ...
r(t) = A/P
r(t) = (2.2t +25)/(2.6t +29)
__
52. Fill in the required numbers and do the arithmetic.
r(0) = (0 +25)/(0 +29) = 25/29
r(0) ≈ 0.862
_
r(4) = (2.2·4 +25)/(2.6·4 +29) = 33.8/39.4
r(4) ≈ 0.858
The salary ratio is approximately flat at 0.86 over the 4-year period. It is declining slightly each year.