Using an exponential function, the inequality is given as follows:
The solution is t > 2.9, hence the tax status will change within the next 3 years.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
For this problem, the parameters are given as follows:
A(0) = 9400, r = 0.143.
The population after t years is modeled by:
The tax status will change when:
Hence the inequality is:
Then:
Since both logs are negative:
t > 2.9.
The solution is t > 2.9, hence the tax status will change within the next 3 years.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer: 16.6
Step-by-step explanation:
a² + b² = c²
7² + b² 18²
49 + b² = 324
Subtract 49 from both sides
b² = 275
√b² = √275
b = 16.583
16.583 ≈ 16.6
You want to prove
By the definition of the limit, this means that for any 
, we can find 
such that
.
In order to get the inequality we want, we need to have
so we can pick 
.
So here's the proof: Let be given, and let . Then
as required.
Answer:
$10,000
Step-by-step explanation:
He has paid $2,000 but still owe 80% of the selling price. If he’s owing 80%, this must mean he has paid only 20% and this said 20% translates to the $2,000.
Now, let the selling price be $x. We know that 20% of $x is $2,000. Let’s write this mathematically.
20/100 * x = $2,000
20x = 100 * 2,000
x = (100 * 2,000)/20 = $10,000
The selling price of the truck is $10,000
Answer: The answer is 
Step-by-step explanation: Given that Rei is barricading a door to stop a horde of zombies by satcking boxes of books on a table in front of the door.
The weight of each box is 30 kilograms and the weight of the table with 8 boxes on the top is 310 kilograms.
So, if 'g' denotes the weight of the table alone, then we have
Therefore, the weight of the table without boxes is 70 kilograms.
Now, if 'W' is the total weight of the barricade, then it can be written as a function of 'x', the number of boxes Rei stacks on the table. The expression is as follows -
Thus, the required function is
