Answer: 5g5
Step-by-step explanation:
Using an exponential function, it is found that the half-life of the substance is of 5.23 units of time.
<h3>What is the exponential function for the amount of a substance?</h3>
The function is given by:
In which:
- A(0) is the initial value.
- k is the exponential decay rate.
The parameters are given by:
A(0) = 48, k = 0.1325.
Hence the equation is:
The half-life is the amount of time for which A(t) = 0.5A(0) = 24, hence:
t = 5.23.
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The NPV is positive, therefore, this order can be placed.
<h3>How to calculate the NPV?</h3>
The calculation of probability of default will be:
= 1 / 200 = 0.005
We use NPV formula to find out whether the order should be filled or not
NPV = -Variable cost per unit +[(1-π)(price of equipment/1+percentage of return)]
= -$1.6 million +[(1-0.005)($1.725m/1.018)]
= -$1.6m + $1.6860
= 0.0860 million
As NPV is positive this order can be placed.
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y = -7.3x + 39.7
The first thing we must do for this case is to make use of the given equation and replace the value of y:
17.8 = -7.3x + 39.7
Now we clear x:
7.3x = 39.7-17.8
x = (39.7-17.8) / (7.3)
x = 3
Answer:
the tub will have 17.8 gallons of water remaining after 3 minutes
