The function that models the growth of the population is P = 276.6e^0.009t
<h3>What is the function?</h3>
We can see that the table shows the increase in population over time. We know that population growth is an example of exponential function. We have to apply the formula of exponential function.
Let us now obtain the function that could show the population at each time;
Given that;
Po = initial population
P = population at time t
r = rate of population growth
P = Poe^rt
P = 305.9
r = ?
t = 10
Po = 276.6
Substituting values;
305.9 = 276.6e^10r
305.9/276.6 = e^10r
1.1 = e^10r
ln 1.1 = 10r
r = ln1.1/10
r = 0.009
Thus the function is;
P = 276.6e^0.009t
Learn more about population growth:brainly.com/question/18415071
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Answer:
x=12
Step-by-step explanation:
1/2x + 3 = 2/3x + 1
Subtract 1 from each side
1/2x + 3-1 = 2/3x + 1-1
1/2x +2 = 2/3 x
Subtract 1/2 x from each side
1/2x -1/2x+ 2 = 2/3x -1/2x
2 = 2/3x -1/2x
Get a common denominator of 6 2/3 = 4/6 and 1/2 = 3/6
2 = 4/6x - 3/6x
2 = 1/6 x
Multiply each side by 6 to isolate x
2*6 = 1/6x *6
12 =x
Answer:
The answer is 6.8 minutes per mile.
Step-by-step explanation:
We change: 7 3/4 = 31/4
and 52 7/10 = 527/10
Then 31/4 miles in 527/10 minutes, that means 1 mile will be in (527/10)/(31/4).
So we calculate: (527/10)/(31/4)= (527/10)*(4/31) = (527*4)/(10*31)= 17*4/10 = 17*2/5 = 34/5= 6.8
The answer is 6.8 minutes per mile.
Hope you understand.
THERE ARE 52 WEEKS IN A YEAR.
40 (hours) x 52 (weeks) = 2080
29460 / 2080 = 14.25
He made a. $14.25 per hour.