The number of permutations of the 4 different letters, taken two at a time, is given by:
The LCM of 12 and 6 is 6. True or False
2 answers:
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To find how much Henry can expect to receive from Social Security on a monthly basis, we first need to find how much he cant expect to receive from social security per year.
We know form our problem that Henry averaged an annual salary of $45,620, so to find how much can Henry expect to receive from Social Security per year, we just need to find the 42% of $45,620.
To find the 42% of $45,620, we are going to convert 42% to a decimal by dividing it by 100%, and then we are going to multiply the resulting decimal by $45,620:
Social security annual payment = (0.42)($45,620) = $19,160.40
Since there are 12 month in a year, we just need to divided the social security annual payment by 12 to find how much he can expect to receive each month.
Social security monthly payment = = $1.596.70
We can conclude that Henry can expect to receive $1.596.70 monthly from Social Security.
Answer: Choice A
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Explanation:
Recall that and
. The connection between tangent and cotangent is simply involving the reciprocal
From this, we can say,
In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.
All of this shows why is identical to
Therefore, is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.
You can visually confirm that is the same as
by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.