Answer:
It will take the 20 years for the population to quadruple.
Step-by-step explanation:
Exponential population growth:
An exponential model for population growth has the following model:
In which P(0) is the initial population and r is the growth rate, as a decimal.
It grows with a doubling time of 10 years.
This means that . We use this to find r. So
So
Determine how long it will take for the population to quadruple.
This is t for which P(t) = 4P(0). So
It will take the 20 years for the population to quadruple.
ANSWER:
As we know, diagonals of parallelogram (||gm) bisect each other.
So, AE = EC
2x - 10 = 8x - 70
2x - 8x = - 70 + 10
- 6x = - 60
x = 10
We can write an equation to resemble the problem.
1160 = 170 + 50x
x equals the number of boxes he is carrying.
Solve for x.
1160 = 170 + 50x
990 = 50x
19.8 = x
We can't round up because that will be to much weight. So, we are going to round down.
19.8 -> 19
Therefore, the answer is 19.
Best of Luck!
Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct
In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if <u>y is greater than the result.</u>
<u />
For the coordinate point (1, 10)
y > 3(1) +10
y > 13
Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.
For the coordinate point (4, 20)
y > 3(4) +10
y > 22
Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.
For the coordinate point (-1, 3)
y > 3(-1) +10
y > -7
Since 3 is greater than -3, hence (-1, 3) lie in the solution set.
Learn more on inequality here: brainly.com/question/24372553