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andrew-mc [135]
3 years ago
8

You are given the dollar value of a product in 2015 and the rate at which the value of the product is expected to change during

the next 5 years. Write a linear equation that gives the dollar value V of the product in terms of the year t. (Let t = 15 represent 2015.)

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

V = $3.50t + $90.5....

Step-by-step explanation:

V(t) is a function of t that expresses the value in year 2000+t.  

We know that the increase is $3.50 times t.

So,

V(t) = $3.50t + c  

where c is the constant.

V(15) =  $3.50 (15) + c = $143     [t=15 as mentioned in the question]

and therefore  

c = $143 - $3.50 (15)

c= $143 - $52.50

c= $90.5  

Now we got the value of c. We can write the equation as  

V = $3.50t + $90.5....

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Pete corporation produces bags of peanuts. It's fixed cost is $18,900. Each bag sells for $2.17 with a unit cost of $1.27. What
pentagon [3]

Answer:

in units: 18,900

in dollars: $ 41,013

Step-by-step explanation:

The break even point is the sales dollar amount or sales in unit at whichthe operating income of the firm equals to zero:\frac{Fixed\:Cost}{Contribution \:Margin} = Break\: Even\: Point_{units }

Where:

\frac{Contribution \: Margin}{Sales \: Revenue} = Contribution \: Margin \: Ratio

<em><u>Contribution margin:</u></em>

2.17 - 1.27 = 1 dollar per unit

Break even:

$18,900 fixed cost /  $1 per unit = 18,900 units

Then, in sales:

18,900 x $2.17 each = 41.013‬

break even point:

3 0
3 years ago
Read 2 more answers
Monica won 7 of the 16 science competitions she entered. To the nearest thousandth, find her wining average.
Nimfa-mama [501]
The answer is:
<span>.438

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4 0
3 years ago
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Write 64,500 in scientific notation
lukranit [14]
6.45 x 10 to the 4th. 
5 0
3 years ago
1/2 of the people who live in the neighborhood vollunteer at the comunity garden. 1/4 of the vollunteers are teenagers. What fra
ki77a [65]

Answer:

3/4

Step-by-step explanation:

With regards to the above, since 1/4 of the volunteers are teenagers, the fraction of the volunteers would be

= 1 - 1/4

= 3/4

It therefore means that 3/4 of the volunteers are teenagers.

3 0
2 years ago
According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round
Temka [501]
<h2>Hello!</h2>

The answer is:

The first measurement of volume is equal to 835.23 mL.

<h2>Why?</h2>

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

P_{1}V_{1}=P_{2}V_{2}

Where,

P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}

So, substituting the given information and calculating, we have:

V_{1}=\frac{8.59atm*527mL}{5.42atm}

V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

8 0
3 years ago
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