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Olin [163]
3 years ago
14

10. Linda Stevens was recently promoted from Accounts Payable Clerk to Accounting Specialist. Previously, she earned $10.50 per

hour for a standard 40-hour week. She will now be paid a biweekly salary of $1,100. How much more will Linda earn annually in her new position?
Mathematics
1 answer:
aksik [14]3 years ago
4 0

Answer:

<u>$6,760</u>

Step-by-step explanation:

With $10.50 per hour and 40 hour weeks.

$10.50 * 40 = $420

So Linda made $420 a week and with 52 weeks in a year.

$420 * 52 = $21,840

She made $21,840 annually at her old job.

With a bi-weekly salary she makes $1,100 every 2 weeks.

There are 52 weeks in a year, so divide that by 2 to get 26 bi-weeks thus 26 pay periods a year.

$1,100 * 26 = $28,600

or divide $1,100 in half ($1,100 / 2 = $550)

$550 * 52 = $28,600

Now find the difference by subtracting the new pay rate by the old one. (Subtract the old from<em> </em>the new one, if you prefer that phrasing.)

$28,600 - $21,840 = <u>$6,760</u>

So Linda's new job pays <u>$6,760</u> more than her old one.

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A radio station broadcasts a signal over an area with a 120-mile diameter. The population density of the area is 100 people per
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Determine the area of the circular region that can be reached by the radio station signal using the equation.
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A is area and D is diameter. Using 3.14 as pi value. 
                             A = (3.14)(120 mi)² / 4 
                             A = 11304 mi²
Knowing that in each of the squared miles, 100 people live.
  total population receiving the signal = 11304 mi² x (100 people / 1 mi²)
                                    = 1,130,400
Thus, the answer is letter C. 
 
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4 years ago
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My other account got h a c ked (i think) what do i do
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You could secure your new account so the same thing wont happen to that account.most likely you wouldnt beable to fix the damaged done to the hack.ed account

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Lucy has $60,000 in a savings account that earns simple interest of 14% per year. How much will she have in her account after 5
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$42,000

Step-by-step explanation:

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3 years ago
Subtract the sum of -1 37 and - 43 from the sum of - 103 and 27​
umka2103 [35]

Step-by-step explanation:

Hey, there!!

I hope you mean to subtract (-137) +(-43) from sum of -103 and 27.

First, add -103 + 27

= - 103 + 27

=  - 76

{As ( minus + plus )= subtracts with sign which has greator value. }

now,

( - 137) + ( - 43) =  - 180

{ minus + minus = add with minus sign}.

Now, subtracting -180 from -76.

=(-76) - (-180 )

Now, multiply the sign (- × -)= +

so, -180 becomes +180

= -76+180

= 104..... is answer.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
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Clayton needs to reflect the triangle below across the line y = x. On a coordinate plane, triangle A B C has points (5.5, 7), (6
Ksju [112]

Answer:

Clayton could use the relationship (x,y) - (y,x) to find the points of the image.

C’ will remain in the same location as C because it is on the line of reflection.

The image and the pre-image will be congruent triangles.

The image and pre-image will not have the same orientation because reflections flip figures

Step-by-step explanation:

Clayton needs to reflect the triangle below across the line y=x

Which statements about the reflection are true? Check all that apply.

Clayton could use the relationship (x,y) - (y,x) to find the points of the image.Clayton could negate both the x and y values in the points to find the points of the image.C’ will remain in the same location as C because it is on the line of reflection.C’ will move because all points move in a reflection.The image and the pre-image will be congruent triangles.The image and pre-image will not have the same orientation because reflections flip figures.

Solution:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Reflection is the flipping of a figure over a line. If a point A(x, y) is reflected over the line y=x, the new location is A'(y, x).

If the triangle ABC with vertices A(5.5, 7), B(6, 2), C(4, 4) is reflected over the line y=x, the new location would be A'(7, 5.5), B'(2, 6) and C'(4, 4).

A. Clayton could use the relationship (x,y) - (y,x) to find the points of the image. Reflection across the line y = x is the swapping of the x and y coordinates. Option A is correct

B. Clayton could negate both the x and y values in the points to find the points of the image. Option B is wrong

C. C’ will remain in the same location as C because it is on the line of reflection. C is on the line of reflection, hence it remains the same. Option C is correct.

D. C’ will move because all points move in a reflection.

Option D is wrong.

E. The image and the pre-image will be congruent triangles.

Option E is correct. Reflection preserves the shape and length of an object.

F. The image and pre-image will not have the same orientation because reflections flip figures. Option F is correct

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