Answer:
Given:
Suppose Paul receives a 6% raise every year.
To find:
After four such raises, the total percentage increase to the nearest whole percent.
The formula used to calculate percentage is: (value/total value)*100%.
Step-by-step explanation:
Step 1 of 1
Assume his salary is originally 100 dollars.
Then, in the next year, he would have 106 dollars, and in the next, he would have 112.36 dollars.
The next year he would have 119.1016 dollars and in the final year, he would have 126.247.
As the total increase is,
((126.247 -100)/100) *100
= 26.247%
the answer is 26%.
Answer:
Step-by-step explanation:
x
2
+
x
−
6
=
(
x
+
3
)
(
x
−
2
)
x
2
−
3
x
−
4
=
(
x
−
4
)
(
x
+
1
)
Each of the linear factors occurs precisely once, so the sign of the given rational expression will change at each of the points where one of the linear factors is zero. That is at:
x
=
−
3
,
−
1
,
2
,
4
Note that when
x
is large, the
x
2
terms will dominate the values of the numerator and denominator, making both positive.
Hence the sign of the value of the rational expression in each of the intervals
(
−
∞
,
−
3
)
,
(
−
3
,
−
1
)
,
(
−
1
,
2
)
,
(
2
,
4
)
and
(
4
,
∞
)
follows the pattern
+
−
+
−
+
. Hence the intervals
(
−
3
,
−
1
)
and
(
2
,
4
)
are both part of the solution set.
When
x
=
−
1
or
x
=
4
, the denominator is zero so the rational expression is undefined. Since the numerator is non-zero at those values, the function will have vertical asymptotes at those points (and not satisfy the inequality).
When
x
=
−
3
or
x
=
2
, the numerator is zero and the denominator is non-zero. So the function will be zero and satisfy the inequality at those points.
Hence the solution is:
x
∈
[
−
3
,
−
1
)
∪
[
2
,
4
)
graph{(x^2+x-6)/(x^2-3x-4) [-10, 10, -5, 5]}
Answer:
No
Step-by-step explanation:
d = (x_2 - x_1)^2 + (y_2-y_1)^2
If any two points on both triangles have the same measure then they are congruent.
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