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noname [10]
3 years ago
5

100 BRAINLY POINTS

Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

  • After 17 years and 3 months

Step-by-step explanation:

<u>Given function:</u>

  • f(x)=18000(0.88)^x

We are looking for the value of x at f(x) < 2000

<u>Solve the equation:</u>

  • 2000 = 18000(0.88)^x
  • (0.88)^x = 2000/18000
  • (0.88)^x = 0.1111
  • log (0.88)^x = log 0.1111
  • x = log 0.1111 / log 0.88
  • x = 17.18

After 17 years and 3 months the car value drops below $2,000

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The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management
dexar [7]

Answer:

d. 15

Step-by-step explanation:

Putting the values in the shift 2 function

X1 + X2 ≥ 15

where x1=  13, and x2=2

13+12≥ 15

15≥ 15

At least 15 workers must be assigned to the shift 2.

The LP model questions require that the constraints are satisfied.

The constraint for the shift 2 is that the  number of workers must be equal or greater than 15

This can be solved using other constraint functions e.g

Putting  X4= 0 in

X1 + X4 ≥ 12

gives

X1 ≥ 12

Now Putting the value X1 ≥ 12  in shift 2 constraint

X1 + X2 ≥ 15

12+ 2≥ 15

14 ≥ 15

this does not satisfy the condition so this is wrong.

Now from

X2 + X3 ≥ 16

Putting X3= 14

X2 + 14 ≥ 16

gives

X2  ≥ 2

Putting these in the shift 2

X1 + X2 ≥ 15

13+2 ≥ 15

15 ≥ 15

Which gives the same result as above.

6 0
3 years ago
What fractional part of the day do you spend sleeping if you sleep 8 hours?
fomenos

You sleep 1/3 of the day.

5 0
3 years ago
Each statement describes a transformation of the graph of y = lnx. Which statement correctly describes the graph of y = ln(x - 7
vodomira [7]

Hello!

The parent function, y = ln(x), has a vertical and horizontal translation.

y = ln(x - h) + k | In this equation, h is the vertical shift, and k is the horizontal shift.

If ln(x - k), then the graph is translated right k units.

If ln(x + k), then the graph is translated left k units.

If ln(x) + h, then the graph is translated up h units.

If ln(x) - h, then the graph is translated down h units.

Therefore, the graph of y = ln(x - 7) + 3 is translated 3 units up and 7 units to the right, which is choice D.

7 0
4 years ago
5(-6-3d)=3(8+7d)(if there is no solution,type in ''no solution'')d= Answer
swat32

In this question, you're solving for d.

Solve for d:

5(-6 - 3d) = 3(8+7d)

Use the distributive property:

-30 - 15d = 3(8+7d)

-30 - 15d = 24 + 21d

Add 30 to both sides:

-15d = 54 + 21d

Subtract 21d from both sides

-36d = 54

Divide both sides by -36

d = -3/2

Answer:

d = -3/2 or -1.5

6 0
3 years ago
Read 2 more answers
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Sergio [31]

Answer: it's just a black screan

Step-by-step explanation:

8 0
3 years ago
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