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Ratling [72]
3 years ago
7

Two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. two percent of the panels from plant a and 5

% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 3% ?
Business
1 answer:
vichka [17]3 years ago
8 0
Let x be the number of television panels that the Company B produced. It is stated in this item that 5% of these panels are defective. The number of defective panels from Company B is therefore equal to 0.05x. 

With the representation above, the total number of panels produced by the two companies is equal to 12000 + x. The percentage of total defective panels to the total panels produced can be expressed through the equation,
     ((12000)(0.02) + 0.05x) / (12000+x))(100) = 3

Dividing the equation by 100
   (240+0.05x)/(12000+x) = 0.03

Cross-multiplying the denominator of the left-hand side to the right hand side of the equation,
   240 + 0.05x = 360 + 0.03x

Transposing like terms,
    0.02x = 120

Dividing the equation by 0.02.
   x = 6000

<em>ANSWER: The number of tv panels produced by Company B is 6000. </em>
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You are comparing two annuities with equal present values. The applicable discount rate is 6.5 percent. One annuity will pay $2,
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Answer:

the annual payment for the second annuity is $2,130 paid at end of every year

Explanation:

We have following information for 1st annuity:

Rate: 6.5%

Payment (PMT): -$2,000, paid at beginning of every year

Tenor (Nper): 20 years

We use excel to calculate the present value of annuity = PV(rate,Nper,PMT,,1)

=PV(6.5%,20,-2000,,1) = $23,469

Then we calculate the payment for 2nd annuity = PMT(rate,Nper,PV,,0)

=PMT(6.5%,20,23469,,0) = -$2,130

Download xlsx
4 0
3 years ago
When comparing mission statements of rival​ firms, perhaps the most important component to examine is​ what?
Veseljchak [2.6K]

Answer:

Self-concept.

Explanation:

Self concept is expressed in a companie's mission and it is the perception one has of his goals, characteristics, behaviours, and abilities.

It is a picture of what we think we are. In a business self-concept is important because it dictates the way we act and think on a daily basis.

When comparing mission statement of rival forms it is beneficial to try and get insights into their self-concept, so that strategies to compete with them can be formulated.

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3 years ago
The first and most important step in the posting procedure is
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<span>The answer is B. Posting the date.
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6 0
3 years ago
Supply of a product will tend to be more inelastic when
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The supply of the product tend to be more inelastic when the prices of the goods are high. Supply inelasticity is caused by the sudden change of the price of goods needed to release the supply and more often than not, that change of price is a price hike; meaning, the increase of price reasonable or not.
3 0
3 years ago
Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small citie
MAVERICK [17]

Answer:

The percentage of variation esplained by the model is given by the determination coefficient, on this case:

R^2 = 0.934^2 =0.872

And we have 87.2% of the variation explained by the linear model given.

\hat y = 5.756(8.5) -36.895=12.031

And we have 12.031 doctors per 10000 residents.

Explanation:

Assuming the following dataset:

x                 y

8.6           9.6

9.3           18.5

10.1          20.9

8.0           10.2

8.3           11.4

8.7            13.1

Assuming this question: "The data has a correlation coefficient of r = 0.934. Calculate the regression line for this  data. What percentage ofvariation is explained by the regression line? Predict the number of doctors per 10,000 residents in a town with a per capita income of $8500."

We want a linear model like this:

y = mx +b

Where m represent the slope and b the intercept for the linear model. And we cna find the slope and b with the following formulas:

m = \frac{n \sum xy - \sum x \sum y}{n \sum x^2 -(\sum x)^2}

b = \frac{\sum y}{n} -m \frac{\sum x}{n}

And from the dataset we have the following values:

n= 6, \sum x =53, \sum y = 83.7 , \sum xy = 755.89, \sum x^2 = 471.04

And replacing into the equation for m we got:

m =\frac{6(755.89) - (53)(83.7)}{6(471.04) -(53)^2}=5.756

And the intercept:

b = \frac{83.7}{6}-36.895 5.756 \frac{53}{6}=-36.895

And then the linear model is given by:

\hat y = 5.756 x -36.895

We can find the estimation replacing x = 8.5 into the linear model and we got:

\hat y = 5.756(8.5) -36.895=12.031

And we have 12.031 doctors per 10000 residents.

The percentage of variation esplained by the model is given by the determination coefficient, on this case:

R^2 = 0.934^2 =0.872

And we have 87.2% of the variation explained by the linear model given.

4 0
2 years ago
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