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Mnenie [13.5K]
3 years ago
8

Lerato receive an increase of 5% on her current salary of R12500 per month. What will her new salary be after the increase

Mathematics
1 answer:
Romashka [77]3 years ago
5 0
$12,500 x 5% = $625.
$12,500 + $625 = $13,125.
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Look closely at the character of Alice in the film and the play versions of Alice’s Adventures in Wonderland. Does the character
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In the movie, Tweedledee and Tweedledum and the talking flowers are incorporated into the original plot from Alice's Adventures in Wonderland. In the book, Alice eats little cakes in the White Rabbit's house to become smaller. In the movie, Alice eats carrots from The White Rabbit's garden to become smaller.

Step-by-step explanation:

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A certain company manufactures skateboards and rollerskates. It takes them 2 units of labor and 1 unit of materials to produce a
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Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.

Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;

2s + r = 30 ------(1)

Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;

s + 2r = 40 ------(2)

With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;

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s + 60 - 4s = 40

Collect like terms,

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Divide both sides of the equation by -3

s = 6.67

(Rounded up to the nearest whole number, s = 7)

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2s + r = 30

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3 years ago
A polynomial that can be factored is called
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A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data fro
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Answer:

a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.

This means that n = 1664, \pi = \frac{939}{1664} = 0.5643

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54

The upper limit of this interval is:

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(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?

Yes, because the confidence interval is entirely above 0.5.

Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

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X in the first equation

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