How do I work this problem out
2 answers:
You might be interested in
Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is <u>its conjugate 7-i5</u>.
Step-by-step explanation:
- We know that when a complex number
is a root of a polynomial with degree 'n' , then the conjugate of the complex number (
) is also a root of the same polynomial.
Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients
Here, 7+5i is a complex number.
So, it conjugate () is also a zero of a polynomial function.
Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is <u>its conjugate 7-i5</u>.
The following represents the value :
a) n(t) = <u />
b) The estimate for the population in 2015 is of 12.7 million.
c) The fish population will reach 14 million after 14 years.
d) The sketch is given at the end of this answer.
<h3>How to calculate how many years will the fish population reach 14 million? </h3>Item a:
The exponential model is:
n(t) = n(0)
In which:
n(0) is the population is 2010.
r is the growth rate, as a decimal.
Population of 12 million, thus n(0) =12
Growth rate of 1.1%, thus r = 0.011
Thus, the model is:
n(t) =
Item b:
2015 is 2015 - 2010 = 5 years after 2010, thus this is n(5).
n(5) = = 12.7
The estimate for the population in 2015 is of 12.7 million.
Item c:
This is t for which n(t) = 14, thus:
n(t) = <u />
14 =
= 14/12
In = In 14/12
t = In 14/12/0.011
t = 14
The fish population will reach 14 million after 14 years.
Item d:
At the end of this answer, the sketch is given.
The complete question is : The population of a certain species of fish has a relative growth rate of 1.1% per year. It is estimated that the population in 2010 was 12 million. a. Find an exponential model n(t)= no e^rt for the population t years after 2010. b. Estimate the fish population in the year 2015. c. After how many years will the fish population reach 14 million? d. Sketch a graph of the fish population.
To learn more about fish population refer to :
#SPJ4
