The graph of which of the following equations contains the point (-3,0)?

The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.

Fudgin [204]

Answer:

$P(t) = 25,000*1.12^t$

Step-by-step explanation:

The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:

$y(x) = ab^x$

Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.

Therefore, the function P(t) that models the population in Madison t years from now is:

$P(t) = 25,000*1.12^t$

8 0

3 years ago

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The Snyder family uses up a 1 2 -gallon jug of milk every 3 days. At what rate do they drink milk?

Cerrena [4.2K]

Answer: 4 gallons per day

Step-by-step explanation:

From the question, we are informed that the Snyder family uses up a 12 -gallon jug of milk every 3 days.

The rate at which they drink milk will be gotten by dividing the gallons of milk they drink by the number of days. This will be:

= 12/3

= 4 gallons per day

Therefore, the rate they use in taking milk is 4 gallons per day.

5 0

2 years ago

Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio

AleksandrR [38]

The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°

Learn more about the quadrilateral here:

brainly.com/question/6321910

3 0

1 year ago

if a birds elevation is 28 meters above the surface and a fish is -12 meters below how far apart are they

timama [110]

They are 40 meters apart

3 0

3 years ago

Read 2 more answers

Is the ordered pair a solution of y ≥ 2x − 5? a. (3, 1) b. (1, −4)

Deffense [45]

Answer:

a. Yes

b. No

Step-by-step explanation:

To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.

1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:

$1 \geq 2(3)-5\\1\geq 6-5\\1\geq 1$

1 is greater than or equal to 1, so (3,1) is a solution.

2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:

$-4\geq 2(1)-5\\\\-4\geq 2-5\\-4\geq -3$

However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.

4 0

3 years ago