Answer: Choice C. 
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Explanation:
The domain is the set of all allowed x inputs.
Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.
We can say the domain is
which can be simplified to
or 
In short: x can be -3 or larger.
Answer:
<u>395.64 m³</u>
Step-by-step explanation:
<u>Volume (figure)</u>
- Volume (hemisphere) + Volume (cylinder)
- 2/3πr³ + πr²h
- πr² (2/3r + h)
- 3.14 x 9 (2 + 12)
- 3.14 x 9 x 14
- 3.14 x 126
- <u>395.64 m³</u>
Answer:
$290
Step-by-step explanation:
We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.
Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.
Thus;
P(x) for expensive sofa = 1/5
P(x) for sofa in sale advertisement = 4/5
Thus, expected value is;
E(X) = (1/5)450 + (4/5)250
E(x) = 90 + 200
E(x) = $290
Answer:
9
Step-by-step explanation:
12 / 4 = 3
3 x 3 = 9
Answer:
8 years
Step-by-step explanation:
Compound interest formula

A(t) is the final amount 55000
A_0= 40000, r= 4% = 0.04, for quarterly n=4

divide both sides by 40000


Take ln on both sides

divide both sides by ln(1.01)

Divide both sides by 4
t=8.00108
So it takes 8 years