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tino4ka555 [31]
3 years ago
13

Graph represents an exponential growth function?

Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0
Yes it does <span>We know that the graph is exponential growth because b > 1. The </span>y<span> intercept needs to be moved up 1, meaning that the yintercept will now be at (0, 2) instead of (0, 1). The horizontal </span>asymptote<span> also needs to be moved up 1, so the horizontal </span>asymptote<span> will be at f(x) = 1 or </span>y<span> = 1.

</span>
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A town has a population of 12000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the popul
ch4aika [34]

Answer:

  11.0 years

Step-by-step explanation:

The exponential function describing the population growth can be written ...

  population = (initial population)×(1 +growth rate)^years

If t represents the number of years, we can fill in the values to get ...

  18500 = 12000×1.04^t

Dividing by 12000 gives ...

  18500/12000 = 1.04^t

Taking logarithms, we have ...

  log(18500/12000) = t×log(1.04)

  t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0

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lawyer [7]

Answer:

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Step-by-step explanation:

Given

g(0) = 1

g(1) = 5

Required

Find g(3)

Since g(x) is a linear function, then:

g(x) = mx + c

For: g(0) = 1

g(x) = mx + c

g(0) = m*0 + c

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For: g(1) = 5

g(x) = mx + c

g(1) = m * 1 + c

5 = m * 1 + c

5 = m + c

Substitute c = 1

5 = m + 1

m = 5 - 1

m =4

So, the function is:

g(x) = mx + c

g(x) = 4x + 1

Calculate g(3)

g(3) = 4*3 + 1

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3 years ago
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85/100*663=563.55

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