Answer:
City A and city B will have equal population 25years after 1990
Step-by-step explanation:
Given
Let
years after 1990
population function of city A
population function of city B
<u>City A</u>
---- initial population (1990)
--- rate
<u>City B</u>
----- t = 10 in 2000
---- t = 20 in 2010
Required
When they will have the same population
Both functions follow exponential function.
So, we have:


Calculate the population of city A in 2000 (t = 10)





Calculate the population of city A in 2010 (t = 20)





From the question, we have:
and






Solve for B20


and
can be used to determine the function of city B

For: 
We have:


For: 
We have:


Divide
by 


Apply law of indices

--- (1)
Take 10th root of both sides
![1 + r_B = \sqrt[10]{2.2399}](https://tex.z-dn.net/?f=1%20%2B%20r_B%20%3D%20%5Csqrt%5B10%5D%7B2.2399%7D)

Subtract 1 from both sides

To calculate
, we have:

Recall that: 
So:



Hence:



The question requires that we solve for t when:

Where:




and

becomes

Divide both sides by 10000

Divide both sides by 


Take natural logarithm of both sides

Rewrite as:

Solve for t


Approximate

<h2>Answer:</h2>
a) 20 will represent the set price of admission
b) 3 is the price of each ticket
c) x will be the total number of ticket bought
d) y will be the total amount of money spent.
<h2>Explanations:</h2>
The equation given is written in slope-intercept form of a line. The slope-intercept form is in the form y = mx +b
where
• m is the ,rate of change ,or slope
,
• b is the ,intercept, (constant)
Given the equation that represents the total amount of mney the hunter will spend expressed as y = 20 + 3x
a) Since 20 is a constant value, it is more like the initial price. Based on the question, 20 will represent the set price of admission.
b) 3 is the price of each ticket needed to go on the ride
c) x will be the total number of ticket bought for the rides
d) As mentioned earlier, y will be the total amount of money the hunter will spend for the ride including the admission price.
15.80 * 1.05 should give you the answer
A method to solve it would be would be:
First converting 5% to a decimal then multiplying that by 15.80 in order the find 5 percent of 15.80...Afterwards you have to add that value to the original 15.80 ..And you should end up with the same answer.
The location of the sensor that it is opposite the direction of the wind is reasonable and is needed to identify the plant's emissions. However, there might be a bias to that if it is located a mile from the plant's smokestack. The distance may be quite far. Considerations in identifying the location of the sensors such as changes in wind direction, wind speed, atmospheric stability, physical stack height, diameter, and other important factors are needed to have an accurate reading of the pollutants.
I think it would would be 42g.