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antiseptic1488 [7]
3 years ago
13

2) The fish population in a local stream is decreasing at a rate of 3% per year. The population in 2005 was 48,000. What is the

population now?
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

30396 fish.

Step-by-step explanation:

We are in 2020, that is, 15 years have passed since 2005, to calculate the population it would be:

The first year there would be 48,000, then each year it decreases by 3%, that is, the first one was like this:

48000 - 48000 * 0.03

That is to say:

48000 * (1 - 0.03)

Now, depending on the year number it would be:

48000 * (1-0.03) ^ n

But how were 15 years n = 15, then:

48000 * (1-0.03) ^ 15 = 30396.057

The fish population would be 30396 fish.

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Answer:

7x + 2y = 1

Step-by-step explanation:

1. Find the slope of the line.

(y2-y1)/(x2-x1) ---->  (11 - (-3))/((-3) -1) ----> (11+3)/ (-3 -1) ----> 14/-4

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2. Write into slope intercept form.

y=mx+b (m is the slope) (b is the y intercept)

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We now need to find the value of b, this can be done by plugging in values of x and y, and using algebra to solve.

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Now we convert to standard form: ax+by=c

*In this form we our a term cannot be a fraction nor can it be negative*

1. Get x and y on the same side, and since our x term is negative right now, we can make it positive by adding it on both sides.

(7/2)x + y = 1/2

2. We now want to get rid of the fraction in term a, so we multiply the entire function by two, so the denominator cancels out.

2(7/2)x + 2y = 2(1/2)

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3 years ago
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\rightarrow \sf \left(\dfrac{7}{8}x-4\right)-3\left(\dfrac{1}{4}x+6\right)

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\sf \rightarrow \dfrac{7}{8}x-4-\dfrac{3x}{4}-18

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\rightarrow \sf \dfrac{7x}{8}-\dfrac{3x}{4}-22

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