Given:
The initial mass of an element is 800 grams.
Decay rate = 8.2% per day
Number of days = 15
To find:
The remaining element after 15 days.
Solution:
The exponential decay model is
Where, a is the initial value r is the rate of interest and t is time period.
Putting in the above formula, we get
Therefore, the mass of the remaining element is 221.7 grams.
Water that weighs 325 lbs will fill 5.2 cubic feet.
Step-by-step explanation:
This is a simple question of cross multiplication
<u>DATA:</u>
<em>1. The weight of water for 1 cubic feet is 62.5</em>
<em>2. The weight of water for 'X' cubic feet is 325 </em>
<em>3. To find x, form an equation:</em>
Cubic feet : Weight of water
1 : 62.5
X : 325
<em>4. Cross multiply</em>
X x 62.5 = 1 x 325
62.5X = 325
<em>5. Make X the subject</em>
X =
<em>6. Solve to find X</em>
X = 5.2 cubic feet
Therefore, water that weighs 325 lbs will fill 5.2 cubic feet.
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Answer: The minimum value of C is 46.
Step-by-step explanation:
Since, Here, We have to find out Min C = 7x+8y
Given the constraints are -------(1)
------------- (2)
,
-------- (3)
Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)
And, ⇒
( false)
Therefore the area of line 1) does not contain the origin.
For equation 2) x-intercept, (6, 0) and y-intercept (0,6)
And, ⇒
( false)
Therefore the area of line 2) does not contain the origin.
Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)
At A≡(0,8) , C= 64
At E≡(2,4), C= 46
At B≡(6,0), C= 42
Thus at B, C is minimum, And its minimum value = 42
