12 + 5x > 2 ( 8x - 6 ) - 7xx > what number?
2 answers:
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Answer:
D) 11/3
Step-by-step explanation:
Let x represent monthly salary.
We have been given that for each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity.
Salary earned in 11 months would be .
Money donated in 11 months would be .
Further we are told that in December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity.
Salary for December would be .
Money donated in December would be .
The worker's charitable contributions totaled one-eighth of his earnings for the entire year that is .
Dividing whole equation by x, we will get:
Combine like terms:
Therefore, the value of N is 11/3 and option D is the correct choice.
Answer:
Step-by-step explanation:
The graph is sketched in the attachment. It's easy to sketch the same graph using the given information. Let's say h is the height. For time t=0 you put a dot on 3 feet since it's the lowest point of the ferris wheel (you get that by substracting the diameter of 40 feet from the highest point given (43 feet).
Second dot is your highest point 43 feet at t=4 sec since it is the half of the circle.
The third dot is your lowest point again at t=8 sec. If you connect the dots like a sine you get the sketched graph.
To find out what is the equation for the graph you need to look at the amplitude which in this case is 20 feet. Then you need to find out the frequency at which the wheel is turning. Since you are given the period (8 sec for a full cycle) you get the frequency:
Now you need to find out the phase of the wave. Since we want to be at 0 feet at t=0 you need to shift the wave 90° degrees forward or in radians.
Finally it's important to shift the whole wave up. You do that by adding the appropriate amount that is in this case the half of the diameter plus the 3 feet to the ground.
The equation you get is:
where A is amplitude, is the phase shift and
is the frequency.
Finally you can get the height at sec:
