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Veronika [31]
2 years ago
14

Write an equation for the line that contains (6, 15) that is parallel to the line with equation x−2y=−10. Write your equation in

slope-intercept form. Show your work!
Mathematics
1 answer:
prisoha [69]2 years ago
6 0

Answer:

y=1/2+12

Step-by-step explanation:

first you have to find the slope to the first equation and that is x/2 and then you have to use the point and plug all of that into slope intercept form(y=mx+b)

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8 0
3 years ago
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
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