Answer:
The answer is, D. 20 inches
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Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Answer:
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Option C: 
Option D: 
Option F: 
Solution:
Given expression: 
To find which expression is equivalent to the given expression.
Let us solve this using exponent rule: 
Option A: 

It is not equivalent expression.
Option B: 

It is not equivalent expression.
Option C: 

It is equivalent expression for the given expression.
Option D: 

It is equivalent expression for the given expression.
Option E: 

It is not equivalent expression.
Option F: 

It is equivalent expression for the given expression.
Hence
are the equivalent expressions.
Option C, Option D and Option F are correct answers.