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madreJ [45]
3 years ago
9

Suppose the population of a town is 2,700 and is growing 4% each year.

Mathematics
2 answers:
Papessa [141]3 years ago
6 0

Answer:

a. y=2,700(1.04)^x

b. 4,322.

Step-by-step explanation:

a. We have been given that the population of a town is 2,700 and is growing 4% each year.

We can see that population of town is increasing exponentially. Since an exponential function is in form: y=a*b^x, where,

a = Initial value.

b= For growth b is in form (1+r), where r is rate in decimal form.

y=a*(1+r)^x

Let us convert our given rate in decimal form.

4\%=\frac{4}{100}=0.04

Upon substituting a=2,700 and r=0.04 we will get,

y=2,700(1+0.04)^x

y=2,700(1.04)^x

Therefore, the equation y=2,700(1.04)^x models the population growth.

b. To find the population after 12 years we will substitute x=12 in our population growth model.

y=2,700(1.04)^12

y=2,700*1.6010322185676808

y=4,322.78699013273816\approx 4,322

Therefore, the population after 12 years will be 4,322.


8_murik_8 [283]3 years ago
3 0
Part A
Y (x)=2700 (1+0.04)^x
Y (x)=2700 (1.04)^x
where x is the number of years

Part B
Y (12)=2,700×(1.04)^(12)=4,322.78
Round your answer to get 4323
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Step-by-step explanation:

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After 4 days, a bookstore has 140 copies of a new title still on hand. After 9 days, the bookstore has 50 copies still on hand.
alexira [117]

Answer:

c(t) =-18t +212

Step-by-step explanation:

Given

(t_1,c_1) = (4,140)

(t_2,c_2) = (9,50)

Required

Determine the equation

First, we calculate the slope (m)

m = \frac{c_2 - c_1}{t_2 - t_1}

m = \frac{50 - 140}{9-4}

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The equation is then calculated as:

c =m(t - t_1) + c_1

c =-18*(t - 4) + 140

c =-18t +72 + 140

c =-18t +212

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3 years ago
On a coordinate plane, a line with negative slope goes through (negative 8, 6) and (4, negative 4). A point is at (negative 6, 1
Alex
<h2>Answer:</h2>

(6, 0),(-6,10)

<h2>Step-by-step explanation:</h2>

Find the slope of the first line.

Points:

A(-8, 6), B(4, -4)

m = Slope = change in y over the change in x = \frac{y2-y1}{x2-x1} = \frac{-4-6}{4-(-8)} =\frac{-10}{12} = -\frac{5}{6}

Plug (-6, 10) into y = mx + b to get your y intercept using the same slope

<em>Additional info: Because its parallel the slopes are the same but the only thing we need to find is the y intercept to find the equation to the second line.</em>

y = -5/6x + b

10 = -5/6(-6) + b

10 = 5 + b

-5   -5

5 = b

Write the equation

y = -5/6x + 5

Plug in 0 for y to get your x-intercept and solve to get your second point of the ordered pair

0 = -5/6x + 5

-5               -5

-5 = -5/6x

6 = x

Your ordered pair is:

(6, 0)

8 0
3 years ago
Read 2 more answers
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