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kolezko [41]
2 years ago
7

If the expression 400(1.12)y gives the number of fish in a man-made lake y years after fish were placed in the lake, which state

ment is true?
Mathematics
1 answer:
Goshia [24]2 years ago
3 0

The expression 400(1.12)^y is an exponential function

The true statement is that the growth rate of the fish in the lake is 12%

<h3>How to determine the true statement?</h3>

The expression is given as:

400(1.12)^y

The above expression is an exponential growth function,

Where:

  • 4000 represents the initial value
  • 1.12 represents the growth factor

Next, we calculate the growth rate (r) as follows:

r = 1.12 - 1

r = 0,12

Express as percentage

r = 12%

Hence, the true statement is that the growth rate of the fish in the lake is 12%

Read more about exponential functions at:

brainly.com/question/11464095

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Divide 2 tonnes in the ratio 2:3.
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0.8 : 1.2

Step-by-step explanation:

2/5 × 2= 0.8 Tonnes

3/5 ×2 = 1.2 tonnes

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Which expression is equivalent to -1/2 (2-2x) +3<br><br> PLEASSEE AANNSSWWEEER
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A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is tr
DedPeter [7]
For this case we observe that the lines AB (red) and CD (purple) are cut at one point.
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4 0
3 years ago
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X + 2 &gt; 5.8 Whats The VALUE OF X
Oduvanchick [21]

Answer:

X > 3.8

Step-by-step explanation:

x +2 > 5.8

x +2 -2 > 5.8 -2

x > 3.8

7 0
3 years ago
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The population of the world grows exponentially at a rate of 1.1% per year.
natima [27]

Answer:

4

Step-by-step explanation:

Every year, the world grows by 1.1%. Converting to a decimal, we can divide by 100 to get 1.1% = 0.011. This means that the world grows by 0.011 exponentially each year. To put this into an expression, we can add 1 to our percentage to get 1.011. This represents 1 = 100% (the original population) and the growth of 1.1% = 0.011. We multiply the rate including the growth by the population to get the population after one year. After the first year, we have

population * 1.011 as the new population after one year. We do that for every year, so the second year's population is population*(1.011)*(1.011) and so on. If x represents the amount of years, then the population can be represented as

(original population)*1.011ˣ

Therefore, to get from 7 billion to 7.31 billion, we have

7 billion * 1.011ˣ = 7.31 billion

divide both sides by 7 billion to relatively isolate the x

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Another way of writing this is

log (base 1.011) (7.31/7) = x

≈ 3.96

Rounding to the nearest whole number, we get 4 as our answer

7 0
3 years ago
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