What Is the product? 4n/4n-4*n-1/n+1
1 answer:
Answer:
n/(n+1) . . . . n ≠ 1
Step-by-step explanation:
As written, there is no product. There is ony the sum ...
With appropriate parentheses, this becomes the product of rational functions ...
... (4n)/(4n-4)·(n-1)/(n+1)
_____
At n=1, the product has a "hole" where the denominator of the original expression is zero, so the expression is undefined. Hence the domain of the product must be restricted to n≠1 (as well as n≠-1).
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Answer:
a) decay
b) 2,950,000
c) 0.025
d)
e) 2,409,123
Step-by-step explanation:
<u>Part (a)</u>
Exponential DECAY, since the population was decreasing annually.
<u>Part (b)</u>
Initial amount = 2,950,000 people (in the year 2000)
<u>Part (c)</u>
Decay factor = 2.5% = 0.025 (in decimal form)
<u>Part (d)</u>
General form of exponential decay function:
where:
- a = initial amount
- r = rate of decay (in decimal form)
- x = time (in years)
Given:
- a = 2950000
- r = 0.025
<u>Part (e)</u>
To determine the city's population in 2008: