We know that the population is declining at a rate of 14% per year.
The expression is:
N ( x ) = 206 * ( 0.86 ) ^ x
where x stays for years.
If we want to find the rate at which the population is declining per month we have to find:
![\sqrt[12]{0.86} = 0.9875](https://tex.z-dn.net/?f=%20%5Csqrt%5B12%5D%7B0.86%7D%20%3D%200.9875%20%20)
And 0.9875 ≈ 0.99
There are 12 months in a year so the exponent is: x/12
Answer:
b. ( .99 ) ^ x/12
Answer:
37
Step-by-step explanation:
<h3>
Answer: 73</h3>
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Work Shown:
Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(37) = x/97
97*tan(37) = x
x = 97*tan(37)
x = 73.094742859971
For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.
If you go from point (-1, -3) to point (4, 4), you can find the slope of the line using the slope formula.

. So our slope is 7/5. The line goes through the y axis at -3/2, so putting that together we get an equation for the line that is

, choice D from above.
According to the properties of inequality, we reverse the inequality symbol when we add or multiply by any negative number
Given inequality is Ax + B > C
In the first step, we subtract B from both sides
Ax + B > C
Ax + B - B > C - B
Ax > C - B
Now to remove A we divide by A on both sides
If A is negative then the reverse the inequality sign
When A is negative then > symbol becomes < symbol
so the inequality symbol be reversed when the value of A is negative