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3 years ago

13

A town’s population increases at a rate of 2.3% every year. The current population is 7,500 people. Which equation models this s

cenario?

2 answers:

Anna007 [38]3 years ago

5 0

Increasing by a fixed percent each year tells you that you’re working with exponential growth.

Since the population grows by 2.3% each year, the next year’s population will be 102.3% of the previous year.

The starting population (current population is 7500.

P = 7500 (1.023)^t, where P is the population and t is the number of years from today.

ruslelena [56]3 years ago

3 0

Answer:

7500 ( 1.023 ) ^(x)

Step-by-step explanation:

x is the number of years that go by

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Number of minutes 1 2 3 4 5 6 7 8 9 10

umka21 [38]

Answer: please find the attached file for the graph.

Step-by-step explanation:

Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5

Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.

In bar chart, the bars will not touch each other.

Please find the attached file for the solution and figure

4 0

3 years ago

Which is greater 20 cups or 10 pints

Marina CMI [18]

The answer to your question is 10 pints because pints in general are bigger than cups even If it's 20 cups

7 0

3 years ago

Read 2 more answers

Find an equation of the line passing through the pair of points (2,3) and (5,9). Write the equation in the form Ax + By = C.

8090 [49]

Answer:

- 2x + y = - 1 , so the B is correct.

Step-by-step explanation:

+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2

+ So the equation is y = 2x + b.

+ Then we replace x= 2 and y= 3 into y = 2x + b for finding like:

3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.

+ The equation of this line is y = 2x - 1 or in the form:

2x - y - 1 = 0 (or -2x + y = -1)

Have a good day!

7 0

3 years ago

(2pm^-1q^0)^-4 • 2m ^-1 p^3 / 2pq^2

Montano1993 [528]

Answer:

$\dfrac{m^3}{16p^2q^2}$

Step-by-step explanation:

Given:

$(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}$

1.

$m^{-1}=\dfrac{1}{m}$

2.

$q^0=1$

3.

$2pm^{-1}q^0=2p\cdot \dfrac{1}{m}\cdot 1=\dfrac{2p}{m}$

4.

$(2pm^{-1}q^0)^{-4}=\left(\dfrac{2p}{m}\right)^{-4}=\left(\dfrac{m}{2p}\right)^4=\dfrac{m^4}{(2p)^4}=\dfrac{m^4}{16p^4}$

5.

$m^{-1}=\dfrac{1}{m}$

6.

$2m^{-1} p^3=2\cdot \dfrac{1}{m}\cdot p^3=\dfrac{2p^3}{m}$

7.

$\dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{\frac{2p^3}{m}}{2pq^2}=\dfrac{2p^3}{m}\cdot \dfrac{1}{2pq^2}=\dfrac{p^2}{mq^2}$

8.

$(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{m^4}{16p^4}\cdot \dfrac{p^2}{mq^2}=\dfrac{m^3}{16p^2q^2}$

8 0

3 years ago

Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s

timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

$y = 2x + 5$ --- equation

$y = 5$ --- y intercept

$m = 2$ --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

$(x_1,y_1) = (15,35)$

$(x_2,y_2) = (0,5)$

The slope (m) is:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

$m = \frac{5-35}{0-15}$

$m = \frac{-30}{-15}$

$m = 2$

So, the line of best fit is:

$y = m(x - x_1) + y_1$

Substitute known values:

$y = 2(x - 0) + 5$

$y = 2(x) + 5$

$y = 2x + 5$

The y-intercept is when $x=0$

So, we have:

$y = 2*0 + 5$

$y = 0 + 5$

$y = 5$

6 0

3 years ago