1. y=900(1.27)^x
1 answer:
Answer:
The initial value is 900
It is experiencing exponential growth by 27%
Step-by-step explanation:
Exponential functions are in the form , where a is the initial value, b is the multiplier, and x is the input, such as how many years past a certain date.
Exponential growth is when the multiplier is above 1.00, or above 100%, because b is determined by 1 + r if you have exponential growth, or 1 - r if you have exponential decay. You will never use negatives with exponential decay.
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Given:
The minimum and maximum distance that the dog may be from the house can be found by using the equation:
To find:
The minimum and maximum distance that the dog may be from the house.
Solution:
We have,
It can be written as:
Adding 500 on both sides, we get
Now,
and
and
The minimum distance is 492 meters and the maximum distance is 508 meters.
Therefore, the correct option is C.
Answer:
The marginal-revenue equation is .
The marginal revenue for the production of 200,000,000 bushels is .
The marginal revenue for the production of 650,000,000 bushels is .
Step-by-step explanation:
The derivative of the revenue function is called the marginal revenue function and is the rate of change of revenue with respect to the number of units sold.
We know the revenue function, . Therefore, the marginal revenue function is
To find the marginal revenue for the production of:
200,000,000 bushels we use x = 2, since x is in units of hundreds of million of dollars.
650,000,000 bushels we use x = 65, since x is in units of hundreds of million of dollars.