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3 years ago

A number increased by 10 is 114

Mathematics

2 answers:

OleMash [197]3 years ago

6 0

Answer:

Step-by-step explanation:

So we want to know which number increased by 10 gives us 114. So we can do this by following this rule where we have two numbers a+b that give us the result, the number c. If we say a is the number we are looking for and b=10 and c=114 then we have: a+10=114. To find the number a we need to put b=10 on the other side and that will change its sign: a=114-10 so we can get a=104 and that is the number we are looking for.

Tanzania [10]3 years ago

4 0

So X + 10 = 114
Isolate x by subtracting 10 from both sides
X = 104
Your number that is increased by 10 to get 114 is 104

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If fixed costs are $561,000 and the unit contribution margin is $8.00, what is the break-even point in units if variable costs a

olga nikolaevna [1]

The break even point is the point where in the total cost and the total revenue of the business are of the same value which means there is no profit or no loss. It is would be the minimum point that a business to reach in order to be able to recover the costs without any loss. At this point selling cost is equal to the sum of the fixed cost and the variable cost. To determine the break even point in units, we do as follows:

SC = FC + VC
Px = FC + Vx
where x is the number of units, P is the price per unit and V is the variable cost per unit.

x = FC / P - V
x = 561000 / (8.00 - 0.50)
x = 74800 units

4 0

3 years ago

Jane is trying to estimate the average electric bill amount of people who live in Las Cruces in summer time. She randomly select

Lina20 [59]

Answer:

The estimated average electric cost amount of all residents in Las Cruces = 182.9

Step-by-step explanation:

The bill amounts from the electric company for the month of July for 10 randomly selected houses from the map was obtained to be

135 265 215 103 156 203 125 156 230 241

Using the Central Limit theory, the mean of a sample extracted randomly from an independent distribution is approximately equal to the population mean of the independent distribution.

This means that the sample mean of a random sample extracted from the population is a good estimate of the population mean.

Sample mean ≈ Population mean

μₓ = μ

Mean = = (Σx)/N

The mean is the sum of variables divided by the number of variables

x = each variable

N = Sample size = 10

Σx = (135+265+215+103+156+203+125+156+230+241) = 1,829

Sample mean = (1,829/10) = 182.9

Population mean ≈ sample mean

Population mean ≈ 182.9

Hope this Helps!!!

8 0

4 years ago

Mr. Zillow wants to research the prices in a Subdivision near Disney World called World of Homes. The prices of 14 homes in this

ExtremeBDS [4]

Answer:

Looking for four values or answers

(A) 5.05

(B) 13

(D) $254,145.38

Step-by-step explanation:

(A) The value of the margin of error.

Using a 90% confidence level or 0.10 alpha level,

1 - alpha = 1 - 0.10 = 0.90

The degrees of freedom = n - 1 = 14 - 1 = 13

Using the t table, 0.90 under 13 is 1.350

Sample size divided by √n is equal to

14/√14 = 3.742

1.35 × 3.742 = 5.05

(B) 13 degrees of freedom

(C) To find the lower and upper limits, you find the mean value first and then subtract / add to half of the margin of error which is 5.05÷2 = 2.525

Adding the 14 values together, you have $3,558,000

Dividing by 14 to get the mean;

Mean = $254,142.8571

Lower Limit: $254,140.33

Upper Limit: $254,145.38

4 0

3 years ago

Fifteen years later, a man will be two times as old as he was 15 years ago. How old is he now?

Inga [223]

Answer:

Let the present age of the man be x years.

Age of the man 15 years ago =(x−15) years and

Age of the man 15 years later =(x+15) years

According to the given condition, we have

(x+15)=2(x−15)

⇒x+15=2x−30

⇒x−2x=−30−15

⇒−x=−45 or x=45 years

Hence, the present age of the man is 45 years.

Step-by-step explanation:

Hope it helps you..

Your welcome in advance..

(◍•ᴗ•◍)

6 0

3 years ago

Read 2 more answers

Explain why f(x) = x2+4/x2-x-2 is not continuous at x = 2.

xxTIMURxx [149]

Answer: Option a.

Step-by-step explanation:

Make the denominator equal to zero and solve for x:

Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:

$x^{2}-x-2=0\\(x-2)(x+1)=0\\x=2\\x=-1$

Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2

The answer is the option a.

6 0

4 years ago

Read 2 more answers