First find the area of the circle using A=pi*r^2
pi*36
Then divide this by 4 because the shaded region is 1/4 of the circle
(36*pi)/4=9*pi
Final answer: B
Answer:
Step-by-step explanation:
This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:
and that can be simplified down to

The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:
5x - 4 = 0 so
5x = 4 and
x = 4/5
In other words, D = {x | x ≠ 4/5}
Answer:
$3599.57
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r)^t
where Accrued amount is to be determined
P = principal; $3200
r = 4% = 0.04
t = number of years = 3
Therefore
Accrued amount = 3200 (1 + 0.04)^3
= 3200 x 1.04^3
= 3200 x 1.1249
= 3599.57
The total amount after 3 years is $3599.57
Answer:
y=2x+3
Step-by-step explanation:
Y is the total amount that the family pays. 2x represents 2 dollars for every person (so, 2 multiplied by the number of people). Finally, 3 represents the initial amount that they must pay, no matter how many are in the car.
Answer:
$2.92
Step-by-step explanation:
35/12 = 2.91666666667
1 rose = 2.91666666667 = $2.92