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Ymorist [56]
2 years ago
15

What value of x is in the solution set of 2(3x - 1) = 4x - 6? EO -10

Mathematics
2 answers:
lakkis [162]2 years ago
8 0

Answer:

x = - 1

Step-by-step explanation:

Given

2(3x - 1) ≥ 4x - 6 ← distribute parenthesis on left side

6x - 2 ≥ 4x - 6 ( subtract 4x from both sides )

2x - 2 ≥ - 6 ( add 2 to both sides )

2x ≥ - 4 ( divide both sides by 2 )

x ≥ - 2

The only value in the list greater than - 2 is - 1

x = - 1 is in the solution set

tensa zangetsu [6.8K]2 years ago
5 0

Answer:

D) -1

Step-by-step explanation:

6x-2≥4x-6

6x-4x≥-6+2

2x≥-4

x≥-4÷2

x≥-2

Only -1 is greater than -2 in the list.

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What is the present value of a $50,000 decreasing perpetuity beginning in one year if the discount rate is 7% and the payments d
Trava [24]

Answer:

Present Value = $1666666.67

Step-by-step explanation:

Present Value of a Growing Perpuity is calculated using the following formula

PV =D/(r - g)

Where D = Dividend

r = Discount Rate

g = Growth rate

D = $50,000

r = 7%

r = 7/100

r = 0.07

g = 4%

g = 4/100

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PV = D/(r-g)

Becomes

PV = $50,000/(0.07-0.04)

PV = $50,000/0.03

PV = $1,666,666.67

So the Present Value of the perpuity is $1,666,666.67

4 0
2 years ago
Solve for x 3x−91>−87 OR 21x−17>25
klasskru [66]

Answer:

  x > 4/3

Step-by-step explanation:

The first inequality can be solved this way ...

  3x -91 > -87

  3x > 4 . . . . . . . add 91

  x > 4/3 . . . . . . divide by 3

__

The second inequality has solution ...

  21x -17 > 25

  21x > 42 . . . . . . add 17

  x > 2 . . . . . . . . . divide by 21

__

The solution set is the union of these overlapping solutions, so will be equal to the first solution:

  x > 4/3

5 0
2 years ago
Read 2 more answers
The health benefits Tom receives from his employer cover 43% of the total monthly premium of $345.00. How much does Tom have to
Elza [17]

Answer:

The Amount tom has to pay is $196.65 therefore, Option b is correct

Step-by-step explanation:

Tom recieves 43% of total monthly premium

That means out of 100%  he is getting 43% he has to pay (100%-43%)= 57% of $345.00

The amount Tom has to pay each month is 57\%\cdot 345.00 it will become .57 \cdot 345.00=196.65

57\%=\frac{57}{100}=.57

Therefore,The Amount tom has to pay is $196.65 that is option b is correct


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2 years ago
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he data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique. {5, 3
sergeinik [125]

The best measure of center tendency for this set of data would be the median. It is the best measurement because the data set has an outlier. The outlier is the 30. So to find the median we first order the data set and then find out if the set is an even or odd set. This set is even so we just chose the middle number. If the set was even, we would add the two center number and divide them by 2.

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8 0
2 years ago
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Why is customer awareness a synonym of customer responsibility?
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