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Artemon [7]
3 years ago
8

Solve the inequality

Mathematics
1 answer:
Kryger [21]3 years ago
5 0
2(4 + 2x) ≥ 5x + 5

Simplify.

8 + 4x ≥ 5x + 5

Subtract 8 from both sides, as well as subtracting 5 from both sides.

4x - 5x ≥ 5 - 8

Simplify.

-x ≥ -3

Divide both sides by -1.

x ≤ 3

~Hope I helped!~
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Which of the following proportions is TRUE? a. 1:4 = 2:5 b. 6:9 = 10:12 c. 5:11 = 15:30 d. 2:7 = 4:14
Vlad1618 [11]
2:7 = 4:14 because each is equal to 2/7. If you simplify 4:14 by dividing by 2, it simplifies to 2:7.
5 0
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One number is 6 greater than another. the product of the number is 55. find the numbers
Basile [38]
Here's how to do this problem:

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3 years ago
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aivan3 [116]

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Step-by-step explanation:

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3 years ago
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Question text You have just won the lottery. The Lottery Corporation offers you two options: 1. a lump-sum payment of $400,000,
igomit [66]
Use present value equation.
If present value of annuity equals 400,000, then you are indifferent.

PV = A(v + v^2 + ...v^{20}) \\  \\ PV = A\frac{v(1-v^{20})}{1-v}

where v = 1/(1+r) and  A = annual payment = 800,000/20 = 40,000

PV = 400,000
After subbing in the numbers, the equation is:
10 = \frac{v(1-v^{20})}{1-v} \\  \\ 10 - 10v = v - v^{21} \\  \\ v^{21} - 11v+10 = 0 \\  \\ v = 0.928034 \\  \\ \frac{1}{1+r} = 0.928034 \\  \\ r = 0.0775

Therefore at interest rate of about 7.75% you are indifferent.
6 0
3 years ago
What is the answer for x-7>-12
Zolol [24]

Answer:

x>-5

Step-by-step explanation:

x-7>-12

Add 7 to each side

x-7+7>-12+7

x> -5

8 0
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