Given:
Anna’s cell phone plan charges her $30 per month plus a $150 one-time activation fee.
Evelyn’s cell phone plan charges her $20 per month, plus a $450 one-time activation fee.
To find:
The number of months after which the costs for the girls’ cell phone plans the same.
Solution:
Let x be the number of months.
Total cost = Fixed cost + Variable cost
According to the question, cost equation for Anna’s cell phone is
...(i)
Cost equation for Evelyn's cell phone is
...(ii)
Equate (i) and (ii) to find the time after which the costs for the girls’ cell phone plans the same.
Divide both sides by 10.
Therefore, the costs for the girls’ cell phone plans the same after 10 months.
Y = A sin(Bx) and y = A cos(Bx). The number, A, in front of sine or cosine changes the height of the graph. The value A (in front of sin or cos) affects the amplitude (height). The amplitude (half the distance between the maximum and minimum values of the function) will be |A|, since distance is always positive.
If is the distance the runner travels between first and second base, then the distance between him and home plate satisfies
(where the 90 here refers to the distance between first base and home)
Differentiating both sides with respect to time gives
The runner's speed is . When he is away from first base, he is
away from home plate. So he is moving away from home plate at a rate of
X + 4 is the answer to your question
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Answer:
9 11/12
Step-by-step explanation:
4(x)=12
x=3
3 1/4=3 3/12
3(x)=12
x=4
6 2/3=6 8/12
3 3/12+6 8/12=9 11/12