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Lady_Fox [76]
3 years ago
9

Mrs. Anderson just received a promotion. She will get a 25% raise to her annual salary of $68,477. What is Mrs. Anderson's new a

nnual salary?
Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

Answer:

Mrs. Anderson's new annual salary is \$85,596.25

Step-by-step explanation:

Let

x------> Mrs. Anderson's new annual salary

we know that

100\%+25\% =125\% =\frac{125}{100}=1.25

so

The linear equation that represent this situation is

x=1.25*\$68,477

x=\$85,596.25

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A machine fills bags with sweets.
DIA [1.3K]

Answer:

19

Step-by-step explanation:

maximum no. of bag filled by 4275 sweets,is

4275/28 ~=152

therefore , there is 4256 sweets in 152 bags

therefore,4275-4256=19 sweets are left

6 0
3 years ago
PLEASE HELP ASAP! NO SCAMS!
pshichka [43]

Answer:

Step-by-step explanation:

Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:

M=(\frac{3+6}{2},\frac{5-7}{2})\\M=(\frac{9}{2},\frac{-2}{2})\\M=(\frac{9}{2},-1) So the "new" line will go through this point.

Onto the slope:

m=\frac{-7-5}{6-3}\\m=\frac{-12}{3}so the slope is

m = -4. That means that the perpendicular slope is

m=\frac{1}{4} Now we're ready to write the equation:

y-5=\frac{1}{4}(x-3) and

y-5=\frac{1}{4}x-\frac{3}{4}\\y=\frac{1}{4}x-\frac{3}{4}+\frac{20}{4} and finally,

y=\frac{1}{4}x+\frac{17}{4}

3 0
3 years ago
Read 2 more answers
Jessica Barth 15 pieces of ribbon each piece of ribbon was 2.25 yards long what is the total amount of ribbon Jessica bu Jessica
Flauer [41]
The answer is 3.375
6 0
3 years ago
For her phone service, Lisa pays a monthly fee of $27, and she pays an additional $0.05 per minute of use. The least she has bee
Sergio [31]
The equation to find the amount of money spent is 27 + 0.05m. This equation, in this case, needs to be larger or equal to 90.70. So our inequality would be:

27 + 0.05m >= 90.70

Now we can solve this equation for m.

27 + 0.05m >= 90.70
0.05m >= 63.70
m >= 1274
4 0
3 years ago
Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
andrey2020 [161]

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

5 0
3 years ago
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