Use the double intercept approach to find the graph of -1 = -y + x

The city of Anvil is currently home to 21000 people, and the population has been growing at a continuous rate of 4% per year. Th

Yanka [14]

Answer:

They'll reach the same population in approximately 113.24 years.

Step-by-step explanation:

Since both population grows at an exponential rate, then their population over the years can be found as:

$\text{population}(t) = \text{population}(0)*(1 + \frac{r}{100})^t$

For the city of Anvil:

$\text{population anvil}(t) = 21000*(1.04)^t$

For the city of Brinker:

$\text{population brinker}(t) = 7000*(1.05)^t$

We need to find the value of "t" that satisfies:

$\text{population brinker}(t) = \text{population anvil}(t)\\21000*(1.04)^t = 7000*(1.05)^t\\ln[21000*(1.04)^t] = ln[7000*(1.05)^t]\\ln(21000) + t*ln(1.04) = ln(7000) + t*ln(1.05)\\9.952 + t*0.039 = 8.8536 + t*0.0487\\t*0.0487 - t*0.039 = 9.952 - 8.8536\\t*0.0097 = 1.0984\\t = \frac{1.0984}{0.0097}\\t = 113.24$

They'll reach the same population in approximately 113.24 years.

4 0

3 years ago

What is a factors for -12

Rzqust [24]

Answer:

4-16= -12

16-28= -12

Step-by-step explanation:

frognj;ghgrue;jnvougheruo'gln

4 0

3 years ago

Find the common ratio of the geometric sequence − 1 , − 9 , − 81 ,

frozen [14]

Step-by-step explanation:

everything can be found in the picture

7 0

3 years ago

The average attendance at a local high school’s football games went down from 2,000 people to 1,840. What was the percent of dec

Vladimir79 [104]

Answer:

8%

Step-by-step explanation:

Initial attendance = 2000

New attendance record = 1840

Percentage decrease in attendance :

((Initial - new attendance record) / initial attendance) * 100%

((2000 - 1840) / 2000) * 100%

(160 / 2000) * 100%

0.08 * 100%

8%

8% decrease in attendance

4 0

3 years ago

Hi! I have a question and I don't understand it's answer. Could you help me?It's in the attachment below.

Paladinen [302]

To solve this question, we just need to evaluate our set of points in the standard form equation of a Hyperbola, and find the coefficients. This will give to us the equation for our Hyperbola. The standard form is

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

Let's start with the easier points, the x-intercepts (5, 0) and (-1, 0).

Since this hyperbola has two x-intercepts, we're dealing with a horizontal hyperbola, and the center is the midpoint between the x-intercepts.

$\begin{gathered} \bar{x}=\frac{x_1+x_2}{2}=\frac{-1+5}{2}=2 \\ \bar{y}=\frac{y_1+y_2}{2}=\frac{0+0}{2}=0 \end{gathered}$

The center coordinates are (2, 0), then, our equation is

$\frac{(x-2)^2}{a^2}-\frac{y^2}{b^2}=1$

To find the missing coefficients, we can just substitute the remaining points and solve the system for a and b. Our final equation is

$\frac{(x-2)^2}{9^{}}-\frac{y^2}{4}^{}=1$

6 0

1 year ago