Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.
<h3>What is an exponential function?</h3>
An exponential function is modeled by:
In which:
- b is the rate of change, as a decimal.
In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:
The population will be of 600 when A(t) = 600, hence:
Hence:
t/8 = 3.
t = 24.
It will take 24 years for the current population of 4800 deer to reduce to 600.
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Balance after 6 months would be 900*(900+2%). You just need to evaluate it then you will get the answer. btw 2% comes from 4% because it's half of the year.
The easiest way to evaluate the limit is to simply subsitute the value into the function
as x approaches -3
just subsitute -3 for x
(-3)³=(-3)(-3)(-3)=-27
answer is -27
The average rate of change obtained from the ratio of change in y to the change in x is 27
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
at; x1 = -3
y1 can be calculated from the function ;
y1= 3(-3³)-1
y1=-82
At ; x2 = 3
y2 can be calculated from the function ;
y2 = 3(3³)-1
y2=80
The rate of change can be calculated thus : (y2 - y1) ÷ (x2 - x1)
[80-(-82)]/[3-(-6])
162/6
27
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Answer:
(2/3)x = -11
x = -33/2
Step-by-step explanation:
2/3 of a number is -11.
Let the unknown number be x.
2/3 of x is -11.
(2/3)x = -11
Multiply both sides by 3/2.
(3/2)(2/3)x = (3/2)(-11/1)
x = -33/2
