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1 answer:
we can look at this this way hmmmm let's get the LCD of all denominators and multiply both sides by it, thus doing away with the denominators.
hmmm let's see, we have denominators of 12 and 9 really, let's do a quick prime factoring on each.
9 = 3 * 3 * 1
12 = 2 * 2 * 3 * 1
well, number 3 is repeated on both so we'll add it only once, the rest we use as well, that gives us an LCD of
3 * 3 * 2 * 2 * 1 = 36
notice, the common 3 to 12 and 9, was only used once in the LCD, the others come along. hmmm so anyhow, we have an LCD of 36, let's multiply both sides by it.
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Answer: 4π/15, 4π/3 and 28π/15 (in radians)
Step-by-step explanation:
Recall that
=
This implies that
Therefore the values of between 0 and 2π are 48, 240 and 336. (All in degrees)
48 degrees= 4π/15 rad
240 degrees =4π/3 rad
336 degrees = 28π/15 rad
Using linear functions, we have that:
A.
For Company A:
For Company B:
B. The salaries will be the same after 7 years.
A linear function is given by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the initial value.
Item a:
- For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus,
, and the salary after n years is given by:
- For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus,
, and the salary after n years is given by:
Item b:
- They will be the same after n years, for which:
Then
The salaries will be the same after 7 years.
A similar problem is given at brainly.com/question/24282972