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3 years ago

As a retiring employee, you'll receive 1.01% of your average salary from the last five years you worked with your company.

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

6 0

Answer:

124,352.56

Step-by-step explanation:

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Which values are within the range of the piecewise-defined function?

musickatia [10]

Answer: y < 1

<u>Step-by-step explanation:</u>

$\begin{array}{c|c||l}\underline{x; x-3}&\underline{y=-x-2}&\\-3&-(-3)-2=1&\text{approaching but not including 1}\\-2&-(-2)-2=0&\\-1&-(-1)-2=-1&\end{array}$

The first function has the range of y < -4

The second function has the range of y = -3

The third function has the range of y < 1

The largest y-value is 1 and the smallest y-value is -∞, therefore the range (y-values) are from -∞ to 1 → y < 1

6 0

3 years ago

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Quiz question!! i need help fast !

mixas84 [53]

Answer:

200-5x and 90

Step-by-step explanation:

we don't know how many weeks she spent at first so we make the equation 200-5x

and then it would be 5x22 which is 110

so 200-110=90

7 0

3 years ago

A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

3 years ago

What is the point slope form of Y=1/2X-2

vagabundo [1.1K]

Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)

We have the next equation of line:
y=1/2 x-2 (slope-intercept form y=mx+b)

the slope of this line is 1/2 (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2 (0,-2)

Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)

Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)

8 0

3 years ago

Write 6 times x to the five eighths power in radical form.

Tanzania [10]

Answer: D- 6 times the eighth root of x to the fifth power.

Step-by-step explanation:

Bring denominator e as the small number in front of root.

Bring x into the root and the numerator as the power x is raised too.

Have it all times 6.

3 0

3 years ago

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