Step-by-step explanation:
Given data
C(x)=12x+114
R(x)=6x.
The company will start to run on profit just when revenue equals the production cost, that is
C(x)=R(x)
equating the two expressions we have
12x+114=6x
solving for x we have
12x-6x+114=0
6x+114=0
6x=-114
x=-114/6
x=-19
Hence the company will start to run on proft when they start to produce above 19 items
Answer: 2185
Step-by-step explanation:
Let p be the proportion of visitors are campers.
Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.
The prior proportion of visitors are campers : p=0.35
Allowable error : E= 2%= 0.02
We know that the z-value for 95% confidence = 
Then by Central Limit Theorem , the required sample size would be :


Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size to estimate the population proportion of campers =2185
Point +10.
(-2)*(-1) gives +2 (a negative number multiplied for another negative gives a positive number).
2*5 = +10
Answer:
1000%
Step-by-step explanation:
c=10d,
3c will become 3*10d=30d
d is 10 times to c which converts to 1000%
For this case we have the following expression:

From here, we must clear the value of a.
We then have the following steps:
Place the terms that depend on a on the same side of the equation:

Do common factor "a":

Clear the value of "a" by dividing the factor within the parenthesis:

Answer:
The clear expression for "a" is given by:
