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pogonyaev
3 years ago
15

You need a 30% alcohol solution. On hand, you have a 50 mL of a 20% alcohol mixture. You also have 35% alcohol mixture. How much

of the 35% mixture will you need to add to obtain the desired solution?You need a 30% alcohol solution.
Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

Answer:

100 mL

Step-by-step explanation:

If x is the volume of 35% solution, then:

0.35x + 0.20(50) = 0.30(x + 50)

0.35x + 10 = 0.30x + 15

0.05x = 5

x = 100

You need 100 mL of 35% solution.

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Answer:

a) y(t) = 350(1.02)^t

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

y = y(0)(1+r)^t

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: y(0) = 350, r = 0.02

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

y(t) = 350(1 + 0.02)^t

y(t) = 350(1.02)^t

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

y(6) = 350(1.02)^6 = 394.2

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

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3,5 ?
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