A scientist needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 60 liters of 60% acid solution?
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Equation:
acid + acid = acid
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0.40x + 0.70(60-x) = 0.60*60
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40x + 70*60 - 70x = 60*60
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-30x = -10*60
x = 20 liters
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Gabe needs 20 liters of the 40% solution.
He also needs 40 liters of the 70% solution.
Answer:
The Answer is b, as the X value does not repeat.
Step-by-step explanation:
Answer:
y=3/4x-2
Step-by-step explanation:
y=mx+b
the b is the y-intercept so find the y-intercept of the line:
which is -2
the slope you need to find two points and look how many times do you need to rise or run to get the answer: 3/4
Hope this helps!
Answer:
No
Step-by-step explanation:
This shape does not show thirds. Although the shape is cut up into 3 shapes, the shapes are not equal. Imaging a cake... would you be happy if your friend got the rectangle, but you got the square. Cutting something into thirds is the same way. They all need to be equal.
Answer:
Present Value = ![X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ]](https://tex.z-dn.net/?f=X%20%5B%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B1%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B2%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B3%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B4%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B5%7D%20%7D%20%5D)
Step-by-step explanation:
To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?
Solution -
We know that, formula for finding the Present vale is given by
Present value = Future value / (1 + r)ⁿ
where r is the rate of interest
and n is Number of periods
Now,
Here in the question, we have
r = 12% = 12/100 = 0.12
n = 5
Also, Given that, we have received Rs X at the end of each year
So,
Present Value = 
=
⇒Present Value =
