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Tresset [83]
3 years ago
13

Suppose your annual starting salary is $55,183. After working for a few years, you start to get yearly raises. If you get a 0.6%

raise a total of 3 times and then a 1.9% raise a total of 6 times, what is your salary after all the raises? Round your answer to the nearest dollar.
Mathematics
1 answer:
Marianna [84]3 years ago
4 0

Answer:

The salary after all the increment = $62899.0879

Step-by-step explanation:

It is given that starting annual salary = $55183

There is given that there are there are three time increment of 0.6 %

So salary after 0.6% increment of 3 times = 55183\times (1+\frac{0.6}{100})^3 = $56182.2656

After that there is other increment of 1.9 % that is 6 times

So salary after this increment = 56182.2656\times (1+\frac{1.9}{100})^6=62899.0879

So the salary after all the increment = $62899.0879

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The cost of providing water bottles at a high school football game is $35 for the rental of the coolers and $0.50 per bottle
zloy xaker [14]

The cost function is an illustration of a linear function

The equation of the cost function is C(x) = 35 + 0.5x

The given parameters are:

Rentals = 35 -- the cost of renting a cooler

Rate = 0.5 --- the rate per bottle

Assume the number of bottles in a cooler is x.

The cost function for the bottles in a cooler would be:

C(x) = Rentals + Rate \times x

So, we have:

C(x) = 35 + 0.5\times x

Evaluate the products

C(x) = 35 + 0.5x

Hence, the equation is C(x) = 35 + 0.5x

Read more about linear functions at:

brainly.com/question/15602982

7 0
2 years ago
A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t
inn [45]

Answer:

  (a)  square: L; triangle: 0.

  (b)  square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

__

In terms of its perimeter p, the area of a square is ...

  A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

  A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

  A_total = x^2/16 + (L-x)^2/(12√3)

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(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

  dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

  x/8 = (L-x)/(6√3)

  x(6√3) = 8L -8x

  x(8 +6√3) = 8L

  x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

  x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0
3 years ago
∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

4 0
3 years ago
Which equation represents a line that passes through (2,-1/2<br>and has a slope of 3?​
erma4kov [3.2K]

Answer:

y + 0.5 = 3(x - 2)

y + 0.5 = 3x - 6

y = 3x - 6.5

Step-by-step explanation:

8 0
3 years ago
A blueprint for a house has a scale of 1:5 feet. The living room has a length of 2.5 inches and a width of 3 inches. What is the
stiks02 [169]

Answer:

Step-by-step explanation:

Set this up as a proportion, with inches on the top and feet on the bottom for our scale.  We will find the actual length first, then we'll find the width.

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Cross multiply to get that the actual length is 5(2.5) = 12.5 feet.  Now for the width:

\frac{in}{ft}:\frac{1}{5}=\frac{3}{x}

Cross multiply to get that the actual width is 5(3) = 15 feet.

If you want the area of the room, multiply the length times the width to get

A = 15(12.5)

A = 187.5 feet squared

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3 years ago
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