You will use logarithms to calculate interest in an investment.
1 answer:
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Answer:
1) x=0.465
2) option A.
Step-by-step explanation:
1) The given equation is:
We rewrite this as logarithm to get:
The change of base formula is:
We apply the change of base formula on the RHS to get:
Group similar terms:
2)
From the graph, the logarithmic function approaches negative infinity as x approaches -6.
Therefore the vertical asymptote is x=-6
The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.
The correct answer is A.
Hello!
Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:
The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:
Simplify:
The slope is.
Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.
I hope this helps!
Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:
The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:
Simplify:
The slope is
Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.
I hope this helps!