There are two identical oil tanks. The level of oil in Tank A is 12 ft and is drained at the rate of 0.5 ft/min. Tank B contains
1 answer:
Answer:
16 minutes
Explanation:
This is an example of a class of problems in which two quantities start with different initial values and change at different rates. In such problems, the rates of change are generally ones that cause the values to converge.
The question usually asks when the values will be the same. The generic answer is, "when the difference in rates makes up the difference in initial values."
Here the tanks differ in initial fill height by 12 -8 = 4 ft. The rates of change differ by 0.5 -0.25 = 0.25 ft/min. The more filled tank is draining faster (important), so the fill heights will converge after ...
(4 ft)/(0.25 ft/min) = 16 min
The level in the two tanks will be the same after 16 minutes.
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<em>Additional comment</em>
The oil levels at that time will be 4 ft.
You can write two equations for height:
y = 12 -0.5x . . . . . . . height in feet after x minutes (tank A)
y = 8 -0.25x . . . . . . height in feet after x minutes (tank B)
These will be equal when ...
y = y
12 -0.5x = 8 -0.25x
4 = 0.25x . . . . . . . . . . add 0.5x -8
16 = x . . . . . . . . . . . . multiply by 4 . . . . time to equal height
The graph shows when the tanks will have equal heights and when they will be drained.
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Answer:
The answer is " and 157.5 MPa".
Explanation:
In point A:
The strength of its products with both the grain dimension is linked to this problem. This formula also for grain diameter of 310 MPA is represented as its low yield point
Here y is MPa is low yield point, x is mm grain size, and k becomes proportionality constant.
Replacing the equation for each condition:
People can get yo = 275 MPa with both equations and k= 15.5 Mpa .
To substitute the answer,
In point b:
The equation is
equation is:
by putting the above value in the formula we get the value that is= 157.5 MPa
Answer:
F=531831381
Explanation:
There are two ways of doing this question:
1) By Formula
2) By Using Compound interest Table
By Formula:
Where:
F is future value
A is annual amount per year
i is interest rate
n is number of years
F=531831381
By Using Compound interest Table:
F=A(F/A,i,n)
From Table F/A at i=8% and n=8 is 10.6366
F=50000000*(10.6366)
F=531830000≅531831381
The difference in two answers is due to decimal points if you take value from table to greater decimal points you will get the exact answer as by using formula.