Factor completely: 4x + 12x2 + x + 3
1 answer:
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<h2>Hello!</h2>
The answers are:
- The quantity that represents the initial number of bacteria is <u>64.</u>
- The quantity that represents the rate at which the number of bacteria is increasing is (1+0.12) or <u>1.12</u> which means the growth rate percentage for the bacteria is 0.12 or (0.12*100), it will be <u>12%.</u>
<h2>Why?</h2>To solve the problem, and complete the statements, we need to remember the form of the exponential growth.
The exponential growth formula is given by the following formula:
Where,
Start Amount, is the starting population or amount.
(1+Percentage Rate), is the increasing rate
Percentage Rate, is the growth rate percentage.
t, is the time elapsed.
Now, we are given the following expression:
Which can be rewrited as:
So, we have that:
- The quantity that represents the initial number of bacteria is 64.
- The quantity that represents the rate at which the number of bacteria is increasing is (1+0.12) or 1.12 which means the growth rate percentage for the bacteria is 0.12 or (0.12*100), it will be 12%.
Have a nice day!