Answer: P(t) = 600*(1.041)^t.
Step-by-step explanation:
An exponential growth can be written as:
P(t) = A*(1 + r)^t
Where:
A = initial population = 600
r = rate of growth in decimals = 4.1%/100% = 0.041.
t = number of units of time.
Now we have a problem, we know that the growth rate is 4.1 %, but we do not know in which time units are we working.
Because is not the same if the bacteria grows a 4.1% in one day, than if the bacteria grows a 4.1% in a hour.
But that does not matter for the actual equation, because we can just define "t" as the time (like the question asks) and the equation will be:
P(t) = 600*(1 + 0.041)^t
P(t) = 600*(1.041)^t.
Answer:
A
Step-by-step explanation:
-2 5/6, -2/3, 1 1/6, 1 5/6
Are all ordered from least to greatest
Trigonometric Identities.
To solve this problem, we need to keep in mind the following:
* The tangent function is negative in the quadrant II
* The cosine (and therefore the secant) function is negative in the quadrant II
* The tangent and the secant of any angle are related by the equation:
We are given:
And θ lies in the quadrant Ii.
Substituting in the identity:
Taking the square root and writing the negative sign for the secant:
17 = 3(4x - 5)
<em><u>Distributive property.</u></em>
17 = 12x - 15
<em><u>Add 15 to both sides.</u></em>
32 = 12x
<em><u>Divide both sides by 12.</u></em>
x = 2.67. (This is your answer.)
Let me know if you have any questions.
We can solve this problem by using the formula:
s = σ / sqrt(n)
where,
s = standard deviation of the sample
σ = standard deviation of the population = 3 years
n = number of samples = 100
Substituting:
s = 3 years / sqrt (100)
s = 0.3 years (ANSWER)