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Andrei [34K]
3 years ago
8

The population of a city decreases by 0.9% per year. If this year's population is 338,000, what will next year's population be,

to the nearest individual?​
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0

Answer:

The population will be 334,958.

Step-by-step explanation:

Multiply 338,000 by 0.009 to get the answer. The reason is to multiply by a percentage, you move the decimal two spots to the left. For example, 0.9 -> 0.009.  Another would be 3 -> 0.03.

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In a school with 2,000 students a random sample of 120 students were asked which fruit was there favorite. Their responses are s
Sladkaya [172]

2000 / 120 = 16,66

16,66 * 34 = 566,6 ≈ 567

4 0
4 years ago
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
  • x -9y = -47

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
4 years ago
Solve this system of equations using the elimination method.<br><br> 3x − 2y = 0<br><br> 2x + y = 7
serg [7]

Answer:

(2,3)

If you have any questions about the way I solved it, don't hesitate to ask ÷)

8 0
3 years ago
What is the additive inverse of the polynomial? -6x^3+4x^2-4x
LenKa [72]

Answer:

The additive inverse is equal to 6x^{3}-4x^{2}+4x

Step-by-step explanation:

we know that

Two polynomials area additive inverses if they are opposites of each other

we have

-6x^{3}+4x^{2}-4x

To find the additive inverse multiply the polynomial by -1

-1*(-6x^{3}+4x^{2}-4x)=6x^{3}-4x^{2}+4x

7 0
3 years ago
A community gym charges a $50 fee membership and a $50 monthly fee. Workout gym charges a $170 membership fee and a $40 monthly
aliya0001 [1]

Answer:

12 months

Step-by-step explanation:

community gym = 50 + 50x

workout gym = 170 + 40x

you need to find out how many months it will take for them to be equal, so:

50+50x = 170+40x

solve for x

10x = 120

x = 12

after 12 months, they will cost the same

3 0
3 years ago
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