Given:
Initial population = 100 algae
Growth rate = 30% per day.
Time = 5 days
To find:
The future amount of population.
Solution:
The exponential growth model is
where, a is the initial value, r is the rate of interest in percent and t is time period.
Substituting the given values, we get
Now, solve this.
Therefore, the future value is 371.293 algae.
(see attached graphic)
1.2 miles = 6,336 feet
IF the length is measured along the ground then:
tan (angle) = opp / adjacent
tan (angle) = 3,200 / 6,336
<span>tan (angle) = 0.505050505</span>
angle = 26.796 Degrees
IF the length is measured from the ground to the top then:
sin (angle) = opp / hypotenuse
<span>sin (angle) = 0.505050505</span>
angle = 30.335 Degrees
Answer:
Step-by-step explanation:
Generally equation of a line is given as
y=mx+c
Then given the point (x, y)=(0,2)
Therefore x=0 and y=2
y=mx+c
2=m×0+c
2=0+c
Then, c=2
Then intercept is 2
Also given the point (x, y)=(3,4)
x=3 and y=4 and c=2
y=mx+c
4=m×3+2
4=3m+2
4-2=3m
2=3m
Then, m=2/3
Then, the slope of the graph is 2/3
y=mx+c
Now, m=2/3 and c=2
The general equation of the line becomes
y=2/3x+2
Multiply through by 3
3y=2x+6
Then this is the equation of the line
Hope you understand this! :DPart a)
section A<span><span>f<span>avg</span></span>=<span><span>4(2<span>)2</span>−4(2<span>)1</span></span><span>2−1</span></span>=8</span>section B <span><span>f<span>avg</span></span>=<span><span>4(2<span>)4</span>−4(2<span>)3</span></span><span>4−3</span></span>=32</span>
Part b)
The rate of change is greater between x = 3 and x = 4 than between x = 2 and x =1 because an exponential function's rate of change is increasing, unlike a linear function which has a constant rate of change.