The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
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Blaine's Company: 103 x 6 = 618
William's Company: 1.2 x 105 = 126
Since William's Company made 126 x Blaine's company's
126 x 618 = 77868.00
(I am not sure if I did this right I tried though)
Multiply the sale price by the commission rate:
550,000 x 0.06 = 33,000
He earned $33,000.00
