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mylen [45]
3 years ago
14

The population of Jacksonville in 2018 is estimated to be 19,000 people with an annual rate of increase of 3.4%. Which equation

models the population of Jacksonville in t years?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

P=19,000(1.034)^{t}

Step-by-step explanation:

Let

P-------> the population of Jacksonville

t----> the number of years since 2018

we know that

The equation that models the population of Jacksonville in t years is

P=19,000(1+r)^{t}

we have

r=3.4\%=3.4/100=0.034

substitute

P=19,000(1+0.034)^{t}

P=19,000(1.034)^{t}

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Rudik [331]
\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}


\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}

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\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}

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If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2181559


\large\textsf{I hope this helps. :-)}


Tags: <em>composite function composition evaluate algebra</em>

7 0
3 years ago
Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is betwe
Dimas [21]

Answer:

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

Step-by-step explanation:

We know mean u = 38  standard dev. s = 2

We want  P ( 37 < x < 41)

so

P( (37 - 38) / 2 <  Z) =  P(-0.5 < Z)  

P( Z <  (41 - 38)/2 ) =  P( Z < 1.5)

Find  P(Z < -0.5) = 0.3085

Find P(Z > 1.5) = 0.0668

so  P(-0.5 < Z < 1.5) =  1  - P(Z < -0.5) - P(Z > 1.5)

P(-0.5 < Z < 1.5) =  1  - 0.3085 -  0.0668

P(-0.5 < Z < 1.5) =  0.6247

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

3 0
3 years ago
A gardener wants to fence a circular garden of radius 21 m. Find the length of the <br><br>rope.​
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Answer:

The length of the rope is 132m

Step-by-step explanation:

Given

r = 21m -- radius

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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The answer would be C

3 0
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