Answer:
<em>It will take 9 years for the population to double</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:
Simplifying:
Taking logarithms:
Applying the exponent property of logs:
Solving for t:
Calculating:
It will take 9 years for the population to double
1.46*10^9 will be the answer
Step-by-step explanation:
Therefore, 32/243 is the answer.
8 goes into 64 8 times. 8*8 equals 64. For example 8+8+8+8+8+8+8+8=64 that is 8 written out 8 times. I hope that helped :D
Question 1
Simplify the following expression: (5x2 + 3x + 4) − (2x2 − 6x + 3). If
the final answer is written in the form Ax2 + Bx + C, what is the value
of B?
Solution:
5x^2 + 3x + 4 - 2x^2 + 6x - 3 = 3x^2 + 9x + 1
Then, B = 9
Question 2
Simplify: (3x2 − 2) + (2x2 − 6x + 3)
5x2 − 6x + 1
5x2 − 6x − 1
x2− 6x + 1
5x2 − 8x + 3
Solution:
3x^2 - 2 + 2x^2 - 6x + 3 = 5x^2 - 6x + 1
Question 3
A sports company conducted a road test of a new model of a geared bike.
The test rider cycled (3x - 2) miles on a flat road, (x2 - 5) miles
uphill, and (2x + 7) miles downhill. Which simplified expression is
equivalent to the total distance, in miles, for which the bike was
tested?
x2 - x
x2 + 5x
x2 − x + 14
x2 + 5x + 14
(3x - 2) + (x2 - 5) + (2x + 7) = 3x - 2 + x^2 - 5 +2x + 7 = x^2 + 5x
Question 4
Simplify: (4x − 6) − (5x + 1)
x + 7
−x + 7
x − 7
−x − 7
(4x − 6) − (5x + 1) = 4x - 6 - 5x - 1 = -x -7
Question 5
Simplify the following expression: (x + 6y) - (3x − 10y). If the final
answer is written in the form Ax + By, what is the value of A?
(x + 6y) - (3x − 10y) = x + 6y - 3x + 10y = -2x + 16y
A = -2
Question 6
Simplify: (3x − 5) + (3x + 6)
6x − 1
1
6x − 11
(3x − 5) + (3x + 6) = 3x - 5 + 3x + 6 = 6x + 1
