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tatyana61 [14]
4 years ago
5

Sam is thinking of retiring from his job after many years of faithful service. During the last 35 years at his job, his annual s

alary
averages to $37,991. Every month, his bills total $1,755. How much money would Sam need each month to supplement his
monthly Social Security benefit (assuming his annual benefit is 42% of his salary average) and still be able to pay his bills?
a. At least $81.23
5. At least $425.32
. At least $1,410.92
1. At least $3,019.67
Please select the best answer from the choices provided
Mathematics
2 answers:
mafiozo [28]4 years ago
8 0
The answer is 1.
Because i said so
Arisa [49]4 years ago
5 0
5. would be the correct answer
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Which expression is a fourth root of -1+isqrt3?
aleksklad [387]

Answer:

Step-by-step explanation:

\sf n^{th} roots of a complex number is given by DeMoivre's formula.

   \sf \boxed{\bf r^{\frac{1}{n}}\left[Cos \dfrac{\theta + 2\pi k}{n}+i \ Sin \ \dfrac{\theta+2\pi k}{n}\right]}

Here, k lies between 0 and (n -1) ; n is the exponent.

\sf -1 + i\sqrt{3}

a = -1 and b = √3

\sf \boxed{r=\sqrt{a^2+b^2}} \ and \ \boxed{\theta = Tan^{-1} \ \dfrac{b}{a}}

\sf r = \sqrt{(-1)^2 + 3^2}\\\\ = \sqrt{1+9}\\\\=\sqrt{10}

                   \sf \theta = tan^{-1} \ \dfrac{\sqrt{3}}{-1}\\\\ = tan^{-1} \ (-\sqrt{3})

                   \sf = \dfrac{-\pi }{3}

n = 4

For k = 0,

          \sf z = \sqrt[4]{10}\left[Cos \ \dfrac{\dfrac{-\pi}{3} +0}{4}+iSin  \ \dfrac{\dfrac{-\pi}{3}+0}{4}\right] \\\\\\z= \sqrt[4]{10} \left[Cos \ \dfrac{ -\pi  }{12}+iSin  \ \dfrac{-\pi}{12}\right]\\\\\\z = \sqrt[4]{10}\left[-Cos \ \dfrac{\pi}{12}-i \ Sin \ \dfrac{\pi}{12}\right]

For k =1,

         \sf z = \sqrt[4]{10}\left[Cos \ \dfrac{5\pi}{12}+i \ Sin \ \dfrac{5\pi}{12}\right]

For k =2,

       z = \sqrt[4]{10}\left[Cos \ \dfrac{11\pi}{12}+i \ Sin \ \dfrac{11\pi}{12}\right]

For k = 3,

      \sf z = \sqrt[4]{10}\left[Cos \ \dfrac{17\pi}{12}+i \ Sin \ \dfrac{17\pi}{12}\right]

For k = 4,

      \sf z =\sqrt[4]{10}\left[Cos \ \dfrac{23\pi}{12}+i \ Sin \ \dfrac{23\pi}{12}\right]

4 0
2 years ago
Please help me and show your work pleaseeee
sammy [17]

Answer:

There is no solution

Step-by-step explanation:

\frac{1}{4} x-13= \frac{1}{4} x + \frac{13}{4}

subrtact 1/4 X from each side

-13=13/4 is not true, so no solution

3 0
3 years ago
What is the range of y = sin θ ?
Tamiku [17]
The range of a function is the set of all the possible function outputs. We know that sin theta varies between -1 and 1 if we draw a graph. According to the graph, the largest number that is an output of g is -1, and the smallest number is 1. Every number between them is also an output of g for some input. Therefore, the range of g is [-1,1]. 
5 0
3 years ago
Stretch your thinking rewrite this sentence using the word fewer: Carey reads 10 more pages than Lucey .
Free_Kalibri [48]
Lucy read 10 fewer pages than Carey
5 0
3 years ago
On the grid below, which point is located in the quadrant where the x-coordinate is a positive number and the y-coordinate is a
Ann [662]

Answer:

d

Step-by-step explanation:

d=(x, y) =(8,-4) so 4th quadrant

8 0
3 years ago
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