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It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
Answer:
20 years
Step-by-step explanation:
<u>Continuous Compounding Formula</u>
where:
- A = Final amount
- P = Principal amount
- e = Euler's number (constant)
- r = annual interest rate (in decimal form)
- t = time (in years)
Given:
- A = $10,000
- P = $5,000
- r = 3.5% = 0.035
Substitute the given values into the formula and solve for t:
Therefore, it will take 20 years (to the nearest year) for the initial investment to double.
Step-by-step explanation:
The sum of three angle of any triangle is <u>1</u><u>8</u><u>0</u><u>°</u>....
