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Effectus [21]
3 years ago
6

For $146.50, a cosmetician buys 5 L of moisturizer and repackages it in 125-milliliter jars. Each jar costs the cosmetician $0.4

0. Each jar of moisturizer is sold for $7.95. Find the profit on the 5 L of moisturizer.
Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

Answer:

The profit on 5 L moisturizer bottle is $797.25.

Step-by-step explanation:

The cost of 5 L of moisturizer bottle  = $146.50

The cost of each milliliter jar  = $0.40

Total number of small jars   = 125

⇒ The total Cost price of 125 jars  = 125 x Cost of each jar

                                                         = 125 x $0.40  = $50

So, the Total Cost Price = Cost of Big Bottle  +  Cost of small 125 bottles

                                        = $146.50 + $50  = $196.50

Now, Selling price of each jar = $7.95

⇒ The total Selling  price of 125 jars  = 125 x Selling price of each jar

                                                         = 125 x $7.95  = $993.75

Now Profit on 5 L bottle  =  TOTAL S.P - TOTAL C.P

=  $993.75  -  $196.50

= $797.25

Hence, the profit on 5 L moisturizer bottle is $797.25.

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It will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet option third is correct.

<h3>What is the equation of motion?</h3>

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

We have:

The height of the Sharon from the diving board = 18 feet

The initial upward velocity of the Sharon = 4 ft/s

The height of the Megan from the ground = 5 feet

The initial upward velocity of the beach ball = 16 ft/s

We know the equation of motion is given by:

\rm h(t) = x + ut+\frac{1}{2} gt^2

Put x = 18 feet and u = 4 ft/s in the above equation, we get:

\rm h(t) = 18 + 4t+\frac{1}{2} \times9.8t^2 ....(1)     [g = 9.8 m/s²]

Put x = 5 feet and u = 16 ft/s in the equation of motion, we get:

\rm h(t) = 5 + 16t+\frac{1}{2} \times9.8t^2  ....(2)

Equate the equation (1) and equation (2), we get

\rm  18 + 4t+\frac{1}{2} \times9.8t^2= 5 + 16t+\frac{1}{2} \times9.8t^2\\

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t = 1.08 seconds

Thus, it will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet.

Learn more about the equation of the motion here:

brainly.com/question/13514745

6 0
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What is the sum of the geometric sequence −4, 24, −144, ... if there are 8 terms?
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Answer:

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Step-by-step explanation:

We are given

this sequence is geometric

-4 , 24 , -144

First term is -4

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r=\frac{24}{-4}=-6

we can use formula

S_n=a_1(\frac{1-r^n}{1-r} )

n=8

now, we can plug values

S_8=-4(\frac{1-(-6)^{8}}{1+6} )

now, we can simplify it

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S_8=959780

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Answer:

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Step-by-step explanation:

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Simplify Negative 15.6 divided by negative 4.
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Simplify:

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( \frac{-15.6}{-4} )

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