Answer:
8022.
Step-by-step explanation:
Let x be the number of years after 2010.
We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.
We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.
Since we know that an exponential function is in form: 
, where,
a = Initial value,
b = For decrease or decay b is in form (1-r) where r represents decay rate in decimal form.
Let us convert our given decay rate in decimal form.
Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:
Let us find x by subtracting 2010 from 2019.
Upon substituting x=9 in our function we will get,
Therefore, the population of fish in 2019 will be 8022.
The answer of this problem would be A: Y = -1 because the line needs to be horizontal.
area of a triangle = 1/2 base x height
56.4 = 1/2 x 12 x height
56.4 = 6 x height
height = 56.4 /6 = 9.4cm
Answer:
A) −3x + y = 3
B) 2x − y = −1 Adding both equations:
-x = 2
x = -2 y = -3
Step-by-step explanation:
Answer:
Let the total distance Aileen ran be 'x'
Let the distance ran by Andrew be 'y'
Refer to graph attached for graphical representation of distance travelled by both.
Applying the formula,
distance=speed*time
x=20*t Equation 1
y= 15*t equation 2
Since it can be easily understood by the graph attached, that
x=150+y equation 3
Now putting values of x and y in equation 3
20*t =150 +15*t.
5t= 150
t=30 seconds.
putting the values of t in both the equation 1 and 2
x=20t
=20*30
x = 600 feet
So the distance ran by Aileen is 600 feet, whereas Andrew ran 450 feet.
Step-by-step explanation:
Do not mind the names just change them. I had the same question before with different names so that is why. Hope this helps:)
