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Alex
2 years ago
5

You work as an office administrator and are paid $18.65 per hour and work 80 hours in 2 weeks. How much is your straight time pa

y?
Mathematics
2 answers:
Brrunno [24]2 years ago
5 0
<h2>Given↷</h2>
  • Amount paid per hour ⇢$18.65
  • Working hour in 2 weeks⇢80
<h2>To find ↷</h2>
  • The straight time pay
<h2>Answer</h2>
  • $1,492

<h2>Solution ↷</h2>

To find the straight time pay for two weeks,

we'll multiply the amount per hour to the number of working hours

hence,

  • Straight time pay ⇢$18.65 x 80
  • Straight time pay⇢$ 1,492

___________________________________

The Straight time pay of one week would be ,

  • ⇢40 x $18.65
  • ⇢$746

___________________________________

Straight time pay of a month would be,

  • ⇢160 x $18.65
  • ⇢$2,984

___________________________________

VLD [36.1K]2 years ago
3 0
  • Paid amount per hour=$18.65
  • Total hours=80

Weeks no is not of any use here

Straight time pay:-

  • 18.65×80
  • $1492
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Answer:

12

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

In this problem we have

For x=3 -----> f(x)=8

so

Find the value of k

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substitute the value of x and f(x)

8*3=k

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For x=2 -------> substitute in the equation and find the value of f(x)

f(x)=24/2=12

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3 years ago
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Find f'(x) and state the domain of f':<br> f(x) = In (2x^2+1)
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Answer:

f'(x) = \frac{4x}{2x^2+1}

Domain: All Real Numbers

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

The derivative of a constant is equal to 0

Basic Power Rule:

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  • f’(x) = c·nxⁿ⁻¹

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Derivative: \frac{d}{dx} [ln(u)] = \frac{u'}{u}

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = ln(2x² + 1)

<u>Step 2: Differentiate</u>

  1. Derivative ln(u) [Chain Rule/Basic Power]:                          f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}
  2. Simplify:                                                                                       f'(x) = \frac{1}{2x^2+1} \cdot 4x
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<u>Step 3: Domain</u>

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

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3 years ago
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Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

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Finally, we know that the sum of probablities has to be 1, or 100%.

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We can solve this by sustitution:

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Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

P_K+P_Q=0.6+0.2=0.8

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3 years ago
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