Answer:
One is a factor of every whole number since every number is divisible by itself.
We have been given that Ralph earns $72,000 annually as an architect and is paid semimonthly.
Semimonthly means twice in a month. There are 12 months in a year.
Therefore, in a year Ralph gets
Now, Alice also earns $72,000 but she is paid biweekly.
Biweekly means twice a week. There are 52 weeks in a year.
Therefore, in a year Alice gets
The difference in the number of checks is 104 - 24 = 80
Thus, Alice receives 80 more checks in a year when compared to Ralph.
Answer:
y=+45
Step-by-step explanation:
this would be because first you start by findings what you get to start with so that would be 45. 45 is your y intercept so that is where you set your first point then you rise 15 and run 200
Answer:
x ∈ {0.063170, 0.722228, 1.633966, 2.293024}
Step-by-step explanation:
It is probably convenient to replace csc(4x) with its equivalent, 1/sin(4x). Then add 4 and multiply by sin(4x)/4.
1/sin(4x) -4 = 0
1/sin(4x) = 4
1/4 = sin(4x)
Using the inverse sine function, we find ...
4x = arcsin(1/4) +2kπ . . . . in radians
and the supplementary solution, ...
4x = π -arcsin(1/4) +2kπ
Dividing these by 4 gives the possible values of x.
x = arcsin(1/4)/4 +kπ/2
x = π/4 -arcsin(1/4) +kπ/2
The four smallest positive solutions will be found where k = 0 or 1.
x ∈ {0.063170, 0.722228, 1.633966, 2.293024}
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I like a graphing calculator for solving these quickly and easily.