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oee [108]
3 years ago
14

jerry has a new job and earns a salary of $45000. Victoria has a new job and earns a salary of $54000 jerry will receive a salar

y increase of $2500 per year and Victoria will receive a salary increase of $1500 per year. Which equation can be used to find x, the number of years it will take jerry to earn the same salary as Victoria?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0

Answer:

C) 45,000 + 25,00x = 54,000 + 15,00x

Step-by-step explanation:

Set up equations for Jerry and Victoria separately.

Jerry:  salary + increase × years

           45000 + 2500x

Victoria:  salary + increase × years

           54000 + 1500x

Since we want to know how many years it will take for both salaries to be equal, we will equate them.

45000 + 2500x = 54000 + 1500x

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How many solutions does a triangle with side lengths a = 4, A = 112º and b =<br>9 have?​
Ainat [17]

Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

7 0
3 years ago
What is the quotient of 1 1/2 ÷ 3/4?
Viktor [21]

Answer:

22/3

Step-by-step explanation:

4 0
3 years ago
Kong makes $14.25 per hour. If he works a 40-hour week, how much does he have to pay into FICA (7.65%)?
gizmo_the_mogwai [7]
Amount of FICA to be paid
($14.25 x 40) x (7.65/100) = $43.61
7 0
3 years ago
A 12 sided die is rolled set of equally likely outcomes as 12345678 910 1112 find the probability of rolling a number greater th
Alex73 [517]

Answer: The probability of rolling a number greater than two is 5/6.

Step-by-step explanation:

So there are 12 possible outcomes for rolling a  number greater than two since the die is numbered from 1 to 12.

And in all the numbers, 10 of which is greater than 2.

so you will divide 10 over the total outcomes.

10/12 = 5/6  or 0.833..

8 0
3 years ago
The weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation
Korvikt [17]

Answer:

The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.

Step-by-step explanation:

We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.

<u><em>Let X = weights of adult male birds of a certain species</em></u>

So, X ~ Normal(\mu=27.5,\sigma^{2} =1.1^{2})

The z score probability distribution for normal distribution is given by;

                                 Z = \frac{ X-\mu}{\sigma } }  ~ N(0,1)

where, \mu = population mean weight = 27.5 grams

           \sigma = standard deviation = 1.1 grams

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;

          <u>Z score</u> =  \frac{ X-\mu}{\sigma } } = \frac{ 29.37-27.5}{1.1 } }

                                    =  <u>1.7</u>

                       

4 0
3 years ago
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