If a point is on the graph of the exponential equation then it should be true when you solve.
g(x) = (1/5)^x
y = (1/5)^x
1/125 = (1/5)^3
cbrt(1/125) = 1/5
.2 = 1/5
.2 = .2 YES
5 = (1/5)^-1
5 = 5 YES
1/25 = (1/5)^-2
-2root(1/25) = 1/5
5 = 1/5 NO
0 = (1/5)^1
0 = .2 NO
The correct answers are <em>A and B</em>.
An antelope can run at a speed of 42 miles per hour.How many feet per second is this?
Answer:61.6 feet per second.
Answer:
$6837
Step-by-step explanation:
It works well to follow directions, using the calculator that is provided for you. I don't have access to that calculator, so have used my own. It says the investment has a future value after 12 years of $6837.
Answer:

Step-by-step explanation:
This problem can be solved by the logistic equation of populations, that is:

In which K is the carrying capacity of the population,
is the initial population, r is the decimal growth rate and t is the period of time.
In this problem, we have that:
When t = 0, the population is 40: This means that
.
The manager of a national park determines that the park can sustain 81 coyotes. This means that
.
When t = 1, the population has increased to 60. This means that
.
To write the equation, we have to find the value of r.






Now we apply ln to both sides, and:

The answer is:
