Answer:
The answer is 8
Step-by-step explanation:
You set the equation 9n=8n+8
Subtract 9n-8n
n=8
Answer:
The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet
Step-by-step explanation:
A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:
area = width*length
In this case the length is 0.7 feet longer than twice the width, therefore:
length = 2*width + 0.7
Applying the second equation on the first one and using the data from the question we have:
47.1 = width*(2*width + 0.7)
47.1 = 2*width² + 0.7*width
2*width² + 0.7*width = 47.1
width² + 0.35*width = 23.55
width =
width = 4.68099 or width = -5.03099
Since the width can't be negative, it can only be 4.68099 feet.
length = 2*4.68099 + 0.7 = 10.06198 feet.
The midpoint bisects PR, making it 2 equal halves.
<em>Answer:</em>
<em>There would be 173,535 lionfish after 6 years.</em>
<em>Step-by-step explanation:</em>
<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>
<em></em>
<em>A)</em>
<em>8000 x 1.67 ^ n = f </em>
<em>B)</em>
<em>8000 x 1.67 ^ 6 = X</em>
<em>8000 x 21.691961596369 = X</em>
<em>173,535.692770952 = X </em>
<em>C)</em>
<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>
<em>Therefore, there would be 173,535 lionfish after 6 years.</em>