we are given
we can see that
there is no value of x for which g(x) is not defined
so, no vertical asymptote exists
now, we will find horizontal asymptote
so, we get
horizontal asymptote as
............Answer
This question shows you how to determine the amount of money Mr. Leonard makes in 4 weeks. It takes his total salary, divides it by 52 (there are 52 weeks in a year), then multiplies it by 4 (you need 4 weeks worth of pay).
This amount is shown as $6769.24.
He must pay the agency 22% of this, so change 22% to 0.22 and multiply it by the amount he makes in 4 weeks.
0.22 x 6769.24 = $1489.23
Mr. Leonard must pay the agency $1489.23 after the first 4 weeks.
This means that the number of stray cats in a town when the town started the animal control program is 729.
<h3>
Exponential function</h3>
An exponential function is given by:
y = abˣ
Let y, x are variables, a is the initial value and b is the multiplication factor.
Where f is the number of stray cats in a town t years since the town started an animal control program.
Since 
f(0) = 729(1/3)° = 729
This means that the number of stray cats in a town when the town started the animal control program is 729.
Find out more on Exponential function at: brainly.com/question/12940982
Answer:
0.5
Step-by-step explanation:
First, we need to find how far ahead Marshall was. Since he had been biking at 20 mph for one hour, he had gone 20 miles.
Next, we need to find how long it will take Brett to catch up to Marshall. In order to do this, we need to find how much faster Brett is going than Marshall. We do this by subtracting Marshall's speed from Brett's speed.
60 - 20 = 40. So, Brett is catching up to Marshall at 40 mph. Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles. We find this by dividing 40 miles per hour by 20. This is equal to 1/2 hour. So, it will take Brett 0.5 hours to catch up to Marshall. This is the same as A, so A is the correct answer.
We can check our answer by seeing how far Marshall and Brett will have gone. Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30. Marshall went 30 miles.
Brett drove for .5 hours at 60 mph, so he went 30 miles. Since Brett and Marshall went the same distance, our answer is correct.
