Answer:
12
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x)
f(x) + g(x) = x + 2 + x² - 2 = x² + x
To evaluate (f + g)(- 4) substitute x = - 4 into f(x) + g(x)
(f + g)(- 4) = (- 4)² + (- 4) = 16 - 4 = 12
Answer: the athlete's salary for year 7 of the contract is $3795957
Step-by-step explanation:
The player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase of 4%. This means that the amount he gets each year is 1.04 times of the previous year's amount. The rate at which his salary increases is in geometric progression. The nth term of a geometric progression is expressed as
Tn = ar^n-1
Where
Tn is the salary for the nth year
a is the salary for the first year
r is the rate at which the salary is increasing. So
a = 3,000,000
n = 7
r = 1.04
We want to determine T7. It becomes
T7 = 3000000 × 1.04^(7-1)
T7 = 3000000 × 1.04^6
Tn = $3795957
450 - 382.50 = 67.5$. So it was discounted by 67.5 dollars.
Radius = 15 feet
circumference = 2 * PI * 15 =
<span>
<span>
<span>
94.25 </span></span></span>feet
the length of the arc is 10 feet
So the angle would equal (10 / 94.25) * 360 =
<span>
<span>
<span>
0.1061007958
</span>
</span>
</span>
* 360 =
=
<span>
<span>
<span>
38.196</span></span></span> degrees
The rotation R C, 90° ccw (P) = Q means 90 degrees counterclockwise rotation
<h3>What is rotation?</h3>
The rotation transformation involves moving a shape or point in a circular path about a fixed point.
The rotation statement is given as:
R C, 90° ccw (P) = Q
ccw means counterclockwise rotation
So, the rotation R C, 90° ccw (P) = Q means that:
90 degrees counterclockwise rotation of point P to get point Q
Read more about rotation at:
brainly.com/question/4077402