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asambeis [7]
3 years ago
8

RSM QUESTION NEED HELP!!!!!! A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must h

e use to make 50 grams of a 14 % alcohol solution?
Mathematics
2 answers:
Snezhnost [94]3 years ago
5 0

Answer:

Step-by-step explanation:

lol i do RSM too. It's hard. We can work together. Were the same age too omg. I got this problem too.

Luden [163]3 years ago
4 0

Answer:

40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.

Step-by-step explanation:

13%(x) + 18%(50-x) = 14%*50g   Multiply them all

0.13x + (9-0.18x) = 7

0.13x-0.18x + 9 = 7   Simplify the equation and subtract 0.13x from 0.18x

9-0.05x = 7   Add 0.05x to each side

9 = 7+0.05x   Subtract 7 from both sides

0.05x = 2   Multiply each side by 100

5x = 200   Divide both sides by 5

x = 40

50 - 40 = 10

40 grams and 10 grams

Your welcome

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How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the numbe
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The continuous compounding formula tells you the amount after t years will be ...

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Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z. The demand for Model Z depen
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The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.

The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.

The demand for Model Z is estimated as

D(p) = 180 + 10q - 4p

Here, <em>p</em> is the price of Model Z.

Consider the following two statements:

  • 1. When the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X.

D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)

  • 2. When the average gasoline price q increases by $1, the demand at the revenue-maximizing price (i.e., D(p*)) increases by a factor of Y.

D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\

Put the value of demand at the revenue-maximizing price as,

Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}

Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

Learn more about the mathematical model here;

brainly.com/question/4960142

#SPJ1

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