A population of lizards decreases exponentially at a rate of 12.5% per year. What is the equivalent monthly rate to the nearest
2 answers:
Answer:
1.04%
Step-by-step explanation:
We are given that there is 12.5% decrease in lizards exponentially in 1 year i.e. 12 months.
Therefore, the percentage decrease in lizards per month will be 12.5% divided by 12.
i.e. = 1.0416667%
So, the percentage decrease per month is 1.0416667%
Hence, rounding 1.0416667% to nearest hundredth, we get 1.04%
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The correct solution graph to the inequalities are
→ C
→ A
→ B
(NOTE: The graphs are labelled A, B and C from left to right)
For the first inequality,
First, clear the brackets,
Then, collect like terms
Now divide both sides by 12
∴
For the second inequality
First, clear the fraction by multiplying both sides by 3
Now, open the bracket
Collect like terms
Divide both sides by 6
∴
For the third inequality,
First, clear the brackets
Collect likes terms
Divide both sides by 1.6
∴
Let the graphs be A, B and C from left to right
The first graph (A) shows and this matches the 2nd inequality
The second graph (B) shows and this matches the 3rd inequality
The third graph (C) shows and this matches the 1st inequality
Hence, the correct solution graph to the inequalities are
→ C
→ A
→ B
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Answer:
Step-by-step explanation:
Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.
Because the total is $75 and Theresa is tipping $6, she is tipping of the total. To convert this to a percentage, multiply by 100:
Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the following system of inequalities:
We need to graph the lines.
We have the line:
Solving for "y", we get:
Knowing that and
, we can graph it.
Since the symbol is , the line must be solid.
The other line is:
Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.
Since the symbol is , the line must be solid.
We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).
Then:
This is false, therefore, we must shade the half that does not contain this point.
This is false, so we must shade the half that does not contain this point.
The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.
