Answer:
7 days
Step-by-step explanation:
At 25% per day, it will take approximately 3 days to double the population, so approximately 6 days for the population to quadruple. Checking that number, we find it is not quite enough for the experiment, so another day is required.
"Guess and check" as a method of solution works especially well if you have an automated checker to evaluate your guess. A graphing calculator or spreadsheet can work well for this.
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We guess 3 days as the doubling time using the "rule of 72" that says the product of percentage and doubling time is about 72. That is, 72/25 ≈ 3. (This is only a very rough approximation of doubling time, best for rates near 8%.)
1. To solve this problem, you need to remember that an exponential function has the following form:
f(x)=a^x
"a" is the base and "x" is the exponent.
2. It is important to know that the logarithmic functions and the exponential functionsare inverse. Then, you have:
<span>y=ln x
</span> e^y=e^(lnx)
<span> e^y=x
3. Therefore, the answer is:
</span>
x=<span>e^y</span>
Answer:
Step-by-step explanation:
Given
Required
Probability of selecting a yellow then orange rock
From the question, we understand that the probability is that of without replacement.
Since the yellow, is first picked.
We need to determine the probability of picking a yellow rock, first.
The rock has reduced by 1;
Next is to determine the probability of picking an orange rock
The required probability is calculated as thus:
Answer:
672
Step-by-step explanation:
a+b / 2 times h
