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irina1246 [14]
3 years ago
11

Devon earns $35 per hour for a regular 40-hour work week. Sometimes, he works over 40 hours a week and earns "double time" for t

he extra hours worked. (That means that his hourly rate for the additional hours over 40 hours per week is double his normal hourly rate.)
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

Answer:

Earnings = $1960

Step-by-step explanation:

The question is incomplete; however the missing part of the question asks his total earnings if he worked for 48 hours in a week

First, we need to determine the extra hour worked

Regular Hour = 40

Extra Hour = 48 - 40

Extra Hour = 8

Total Earnings is then calculated as follows:

Earnings = Regular Hours * Regular Charges + Extra Hours * Extra Charges

Earnings = 40 * 35 + 8 * Extra Charges

Since extra charges is twice regular charges, we have:

Earnings = 40 * 35 + 8 * 35 * 2

Earnings = 1400 + 560

Earnings = $1960

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Find the modulus of the complex number 6-2i
Papessa [141]

Answer:

The modulus of the complex number 6-2i is:

|z|\:=2\sqrt{10}

Step-by-step explanation:

Given the number

6-2i

We know that

z = x + iy

where x and y are real and \sqrt{-1}=i

The modulus or absolute value of z is:

|z|\:=\sqrt{x^2+y^2}

Therefore, the modulus of 6-2i  will be:

z=6-2i

z=6+(-2)i

|z|\:=\sqrt{x^2+y^2}

|z|\:=\sqrt{6^2+\left(-2\right)^2}

    =\sqrt{6^2+2^2}

    =\sqrt{36+4}

    =\sqrt{40}

    =\sqrt{2^2}\sqrt{2\cdot \:5}

    =2\sqrt{2\cdot \:5}

   =2\sqrt{10}

Therefore, the modulus of the complex number 6-2i is:

|z|\:=2\sqrt{10}

3 0
3 years ago
1. Which picture below that does not contain enough information to prove that AABC = ADEF?
Viefleur [7K]

Answer:

The picture that does not contain enough information to prove that ΔABC = ΔDEF is

(3) Picture (3)

Step-by-step explanation:

The given information in picture (3) is the Angle-Side-Side of ΔABC corresponds with the Angle-Side-Side of ΔDEF,

However, the condition of Angle-Side-Side of ΔABC, is not sufficient to prove that ΔABC is congruent to ΔDEF congruency because the length of the unknown side can have two possible values

7 0
3 years ago
Why is (3,4),(5,10),(3,12) not a function
jasenka [17]
A function has a property such as "one input must be mapped to exactly one output." An input is the x-value, and the output is, generally, the y-value. In this set of points above, the input 3 maps to 4 <em>and </em>12, and therefore is not a function. 
5 0
3 years ago
Lieutenant James made an average of 3 arrests per week for 4 weeks. How many arrests does she need to make in the fifth week to
tankabanditka [31]

Answer:

5

Step-by-step explanation:

We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:

Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2

Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.

Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5

3 0
3 years ago
The population mean annual salary for environmental compliance specialists is about ​$62,000. A random sample of 32 specialists
lakkis [162]

Answer: 0.002718

Step-by-step explanation:

Given : The population mean annual salary for environmental compliance specialists is about ​$62,000.

i.e. \mu=62000  

Sample size : n= 32

\sigma=6200

Let x be the random variable that represents the annual salary for environmental compliance specialists.

Using formula z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}, the z-value corresponds to x= 59000 will be :

z=\dfrac{59000-62000}{\dfrac{6200}{\sqrt{32}}}\approx\dfrac{-3000}{\dfrac{6200}{5.6568}}=-2.73716129032\approx-2.78

Now, by using the standard normal z-table , the probability that the mean salary of the sample is less than ​$59,000 :-

P(z

Hence, the probability that the mean salary of the sample is less than ​$59,000= 0.002718

3 0
3 years ago
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