Answer:
c 81
Step-by-step explanation:
A growth rate equation has a general form of:
f(x) = P (1 + r)^x
Where,
P = present value
r = rate of growth
x = number of years
If we write the given equation on that form, it would be:
f(x) = 4 (1 + 3)^x
Therefore we can see that the population’s growth rate is
300% per year. To make this formula to an equivalent of three times a year (3x),
we have to find the new r.
f(x)_3 = 4 (1 + r)^3x
To calculate this, we must take note that the expression or
value of (1 + r)^x must be constant. Therefore equate this with 4^x.
(1 + r)^3x = (4)^x
Taking the logs of both sides:
3x log (1 + r) = x log 4
Cancelling x:
3 log (1 + r) = log 4
3 (1 + r) = 4
1 + r = 4/3
r = 0.33
Therefore the new growth rate is 0.33 or 33%. (ANSWER)
And, the new correct function is:
f(x)_3 = 4 (1 + 0.33)^3x
or
f(x)_3 = 4 (1.33)^3x (ANSWER)
1. True.
2. False. x² + 4 = (x+2)(x-2)
3. True.
4. False. It gives (x²-9) which is a binomial.
<em>Feel free to mark this as brainliest! :D</em>
Answer:
f(-2) = 1/9
Step-by-step explanation:
Plug in -2 to x in the equation:
f(x) = 3^x
f(-2) = 3^(-2)
Solve. Note that if there is a negative in the power, you must flip the "fraction" and set it over 1. The answer itself does not become negative:
f(-2) = 1/(3^2)
f(-2) = 1/(9)
f(-2) = 1/9 is your answer.
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Answer:
53+3=56
56 times -35
-1960-7
-1967
i think this is how you do it.
Step-by-step explanation:
