Factor completely: 3x² + 5x - 12
1 answer:
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Answer:
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Step-by-step explanation:
We are given the following in the question:
The exponential growth model is given by:
where k is the growth rate, t is time in years and is constant.
The world population is 5.9 billion in 2006.
Thus, t = 0 for 2006
We have to find the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Putting these values in the growth model, we have,
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Answer:
The answer is below
Step-by-step explanation:
The minimum payment on a credit card is based on the total amount owed. A credit card company uses the following rules: For a bill less than $20 the entire amount is due, for a bill of at least $20 but less than $500, the minimum due is $20. For a bill of at least $500 but less than $1000 the minimum due is $40 and for a bill of at least $1000 but less than $1500 the minimum due is $80 dollars. For a bill of $1500 or more the minimum due is 1/10th of the bill.
a. Write a function to describe the minimum payment due.
b. What is the minimum payment due if the bill is $345?
c. What is the minimum payment due if the bill is $1410?
d. What is the minimum payment due if the bill is $1700?
Solution:
Let B represent the minimum due payment for a bill in dollars and let x represent the bill in dollars. Therefore:
For x < 20, B = x
For 20 ≤ x < 500, B = 20
For 500 ≤ x < 1000, B = 40
For 1000 ≤ x < 1500, B = 80
For x ≥ 1500, B = (1/10)x
a)
b) For 20 ≤ x < 500, B = 20
Therefore if the bill is $345 (x = 345), the minimum payment due would be $20
c) For 1000 ≤ x < 1500, B = 80
Therefore if the bill is $1410 (x = 1410), the minimum payment due would be $80
d) For x ≥ 1500, B = (1/10)x
Therefore if the bill is $1700 (x = 1700), the minimum payment due would be $170 (1/10 * 1700)