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The roots of the equation are 7 and -4, because 7 - 4 = 3 and 7. - 4 = -28
Step-by-step explanation:
The positive number is equal to 7.
Assuming that the number is equal to "x" we have:

By the sum and product method, we have:


The sample space is 22 words and out of it, 14 words are known to have meanings for the student. In the problem, we use 10 C8 + 10 C9 + 10 C10 to associate at least 8 words. The complete formula is (10 C8 * (14/22)^8 * (8/22)^2 + 10 C9 (14/22)^9 * (8/22)^1 + 10 C 10 (14/22)^10 * (8/22)^)0) that is equal to 0.233
Answer:
14.285714285714 %
Step-by-step explanation:
suppose the weekly payment is of x dollars
Then
Previous payment : $(x/40) per hour
New payment : $(x/35) per hour
Then
The percentage increase in the hourly rate of pay is :






ANSWER

EXPLANATION
We want to find the number of years that it will take the population to double.
To do this, we have to apply the exponential growth function:

where y = final value
a = initial value
r = rate of growth
t = time (in years)
For the population to double, it means that the final value must be 2 times the initial value:

Substitute the given values into the function above:

To solve further, convert the function from an exponential function to a logarithmic function as follows:

Solve for t:

It will take 9 years for the population to double.