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
Answer:
5/2
Step-by-step explanation:
The probability that two events occur is equal to the product of the individual events happening or occurring. For this item, we let x be the probability that is unknown such that the relationship between them may be expressed as,
(3/5)(x) = 33/95
The value of x from the equation is 11/19.
The equation that has the solution 
is 3x^2 - 10x + 6 = 0
<h3>How to determine the equation?</h3>
The solution is given as:
The solution to a quadratic equation is
By comparing both equations, we have:
-b = 5
b^2 - 4ac = 7
2a = 3
Solve for b in -b = 5
b = -5
Solve for a in 2a = 3
a = 1.5
Substitute values for a and b in b^2 - 4ac = 7
(-5)^2 - 4 * 1.5c = 7
Evaluate
25 - 6c = 7
Subtract 25 from both sides
-6c = -18
Divide by - 6
c = 3
So, we have:
a = 1.5
b = -5
c = 3
A quadratic equation is represented as:
ax^2 + bx + c = 0
So, we have:
1.5x^2 - 5x +3 = 0
Multiply through by 2
3x^2 - 10x + 6 = 0
Hence, the equation that has the solution is 3x^2 - 10x + 6 = 0
Read more about quadratic equation at:
brainly.com/question/1214333
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