Answer:
Expression:
Beetles after 16 years: 7984 beetles
Step-by-step explanation:
Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following
A = P (1 + r/n) (nt)
A = the future amount
P = the initial amount
r = the annual increase rate (decimal)
n = the number of times that interest/increase is compounded per unit t
t = the number of years
Using the values in the question the expression for this scenario would be the following
120(1 + (0.30 / 1))^(1*16)
7984.99
Answer:
9.5%.
Step-by-step explanation:
The probability in this case is calculated by publishing the probability of each event. That is, the first event of taking out one of chocolate and then taking out a gummy one where there is one less chocolate.
Therefore, in total they are 5 + 4 + 6 = 15 sweets.
Therefore the probability of getting one of chocolate is:
5/15 = 1/3
Now, in the second event there is one less sweet, that is, 14. Therefore the probability of taking out a gummy one is:
4/14 = 2/7
Then the final probability would be:
(1/3) * (2/7) = 0.095 = 9.5%
The probability of what the statement says is 9.5%.
Answer:
Use what you used for the first one and you should get the right answer.
Step-by-step explanation:
Answer:
3 or 2.999 (probably 3)
Step-by-step explanation:
So the volume of a cylinder = πr^2 * h
h = height
r = radius
now we know the radius. Leaving us with a simple equation which is:
π*9*h = 9π*h = 84.78 =
π*h = 9.42
h = 9.42 / π = 2.99847912785......
but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.
Reference my work if you're are confused, however, it's really messy so sorry about that.