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2 years ago

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Solve Problem: James works 40 hours at $12 an hour, plus time-and-a-half for overtime. How much is his pay for 10 hours of overt

ime?

2 answers:

olchik [2.2K]2 years ago

5 0

Answer:

Step-by-step explanation:

if 12 dollars/hour is regular pay

12+6=18 dollars/ hour overtime

10h overtime=18*10=180 dollars

disa [49]2 years ago

3 0

Answer:

Rate for over time = $12 and a half rate of $12, that is 12+ 12/2 =12+6= $18 per hour. We need to find the total pay for 40 hours of regular time and 10 hours of overtime. Pay for 40 hours at the rate $12 per hour = 40 × 12 = $480.

Step-by-step explanation:

You might be interested in

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

2 years ago

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 36 m

Degger [83]

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given by:

z = (raw score - mean) / standard deviation

Given mean of 36 minutes and a standard deviation of 3 minutes.

For x = 32:

z = (32 - 36)/3 = -1.33

For x = 37:

z = (37 - 36)/3 = 0.33

P(-1.33 < z < 0.33) = P(z < 0.33) - P(z < -1.33) = 0.6179 - 0.0198 = 0.5981

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0

1 year ago

Simplify 72y^4/8y^7<br><br> 72y^4<br> ———<br> 8y^7

mihalych1998 [28]

Step-by-step explanation:

hi hi hi nice to meet you meet you

6 0

2 years ago

Find the theoretical probability for rolling 6 as well as the probability for a 1

ale4655 [162]

6 is one of the six total sides on a dice.

P(6)=1/6

1 is one of the six total sides on a dice.

P(1)=1/6

3 0

3 years ago

A concert cleanup crew has 6 workers and one cleanup kit.

myrzilka [38]

Answer:

Option (D)

Step-by-step explanation:

At every 6 crew workers number of clean up kits required = 1

Therefore, for 1 crew worker number of kits required = $\frac{1}{6}$

And number of kits required for w workers = $\frac{w}{6}$ = w ÷ 6

If w = 54

Number of kits required = $\frac{54}{6}=9$

If w = 60

Number of kits required = $\frac{60}{6}=10$

If w = 66

Number of kits required = $\frac{66}{6}=11$

Therefore, table given in Option (D) is the correct table.

6 0

3 years ago