Answer:
The function is represented as m(x) = 20,000(0.97)^x.
Step-by-step explanation:
After the year 1990, each year witnesses a decline in visitors, having retained (100-3) = 97% (or 0.97) of the previous year's visitors.
Thus, the model can be expressed as m(x) = 20,000(0.97)^x (final answer).
If a component must measure 5.72 inches with a tolerance of 0.02 inches (assuming the symbol before 0.02 indicates a +/-), its length must fall between 5.70 and 5.74 inches. Given that the current length is 5.85 inches, the maximum reduction possible is 0.15 inches.
Answer:

Step-by-step explanation:
The equation provided is:
d = 5x + 10xf
We need to isolate x from this equation.
Factoring out x from the right side gives us,
d=x(5+10f)
To find x, divide both sides by (5+10f),

Thus, this represents the sought value for x.
Answer:
and
expressed in interval notation.
Step-by-step explanation:
A compound inequality
has been provided. Our task is to determine the solution for this inequality.
Initially, we will address each inequality independently, followed by merging the findings by combining the overlapping intervals.



By dividing with a negative number, it is necessary to reverse the inequality sign:





Again, dividing by a negative requires flipping the inequality sign:


In combining both intervals, we will arrive at:

Thus, the solution for the inequality provided is
and
in interval notation.