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1 answer:
Answer: 100*(1.032)^t which can be written as
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Explanation:
b = value of cup after t years
t = time in years (eg: t = 2 means 2 years have passed by)
The value starts at b = 100. After year 1, the value jumps up by 3.2% so we multiply the value $100 by 1.032 which is the proper multiplier to help increase by 3.2%; to see this, notice how 100% + 3.2% = 1 + 0.032 = 1.032
After 2 years, the value jumps another 3.2% so we have another copy of 1.032 multiplied. Then for 3 years, we'll have 3 copies of 1.032 multiplied. And so on.
For t years, we'll have t copies of 1.032 as the multiplier. So we will multiply the initial value 100 by (1.032)^t
That is why the equation is
b = 100*(1.032)^t
which can be written as
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Answer:
Given,
The initial population, P = 87,000,
Annual rate of increasing, r = 1.9 %,
a) Thus, the population after t years,
Where, k is the rate constant,
By comparing,
Hence, the approximate value of k is 0.00817.
And, the exponential growth function would be,
b) If A = 145,000,
By using graphing calculator,
We get,
The year after 27 years from 2016 is 2043.
Hence, in 2043 the population reach 145,000.
The potential roots of the function are,
And the accurate root is 3 it can be determined by using rules of the rational root equation.
<h2>Given that,</h2>Function;
Which of the values shown are potential roots of the given equation?
<h3>According to the question,</h3>Potential roots of the polynomial are all possible roots of f(x).
Using rational root theorem test. We will find all the possible or potential roots of the polynomial.
The factor of the term 45 are,
And The factor of 3 are,
All the possible roots are,
Now check for all the rational roots which are possible for the given function,
Therefore, x = 3 is the potential root of the given function.
Hence, The potential roots of the function are, .
For more details about Potential roots refer to the link given below.