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Nataliya [291]
3 years ago
5

A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax incl

uded. Round your answer to the nearest cent, as necessary.
Mathematics
1 answer:
vivado [14]3 years ago
6 0

Answer:

7.75%/100×695.95=53.93

695.95+53.93=749.88

answer:749.90

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A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat
jolli1 [7]

Answer:

  • 7000 type A
  • 6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y

Then the profit equation is ...

P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

  ∂P/∂x = 0 = -2x +2y +2

  ∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

  • y = x -1
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Substituting the first into the second gives ...

  x -9(x -1) = -47

  -8x = -56

  x = 7

  y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

5 0
3 years ago
How many cans of paint are needed to cover an area of 2200 square units if one can of paint covers in area 400 square units
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In such problems, we always round up, since you will need 5 full cans of paint, and half of a 6th can.

So, in total you will need 6 cans of paint to cover all 2,200 sq units.

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4 years ago
in order to solve the system of equations below , harvey multiplies each equation by a constant to eliminate the x terms.
kicyunya [14]

Answer:

14x + 6y = 10 \\  - 14x - 35y = 77

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multiply all terms in the second equation by -7. it would then add the two equations together to cancel out the variable x

You will then have two equations in terms of y

solve for y and either equation then substitute that value for y into the other equation then solve for x

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