Answer:
Step-by-step explanation:
<u>Functions
</u>
The problem describes a function that expresses the concentration of an antibiotic in mg/dl vs time in hours as:
We need to find the first value of t such that
It means that
Operating with the inequality
Rearranging and dividing by 2, we have a polynomial inequality:
Factoring
There are two possible values for t, both valids because they are positive
We need to find the first value, i.e.
Now for the graphic method, we plot the graph for the function and a horizontal line at c=4 to find the values of t.
The graph is shown in the image provided below. We can see both values where the funcion and C=4 intersect. Both values coincide with the previously analitically found values
Let the three numbers be x, y and z. Then x+y+z=75.
z = 2x. y = x - 9.
Eliminate y and z by substitution: x + (x - 9) + (2x) = 75
Then 4x = 75 + 9, or 4x = 84. x = 21, y = 21 - 9 = 12, and z = 2(21) = 42.
Check: Do 21, 12 and 42 add up to 75?
Answer:
i will answer -- justv please clarify ur question
ig its 8.7 tho ?
Step-by-step explanation:
Answer:
Total temperature change = -32.48 degrees
Step-by-step explanation:
Over 11.2 hours, the temperature changed -2.9 degrees each hour.
Total time elapsed = 11.2 hour.
Temperature change per hour = -2.9 degrees
Total temperature change = Total time elapsed x Temperature change per hour
Total temperature change = 11.2 x -2.9 = -32.48 degrees
So temperature is reduced by 32.48 degrees in 11.2 hours.
Total temperature change = -32.48 degrees
The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.
<h3>
Profitability index</h3>
First step is to find the Net present value (NPV) of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.
Second step is to calculate the profitability index
Profitability index = 49.7/340
Profitability index = .15×100
Profitability index=15%
Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.
Learn more about Profitability index here:brainly.com/question/3805108
#SPJ4
