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Ymorist [56]
3 years ago
5

The fish population in a local stream is decreasing at a rate of 4% per year. The original population was 55,000 fish. What is t

he population of the fish pond after 9 years?
Mathematics
1 answer:
Svet_ta [14]3 years ago
7 0

Answer: 38090 fish

Step-by-step explanation:

Use the equation 55,000(.96)^9. Start with the initial number in this case it is 55,000 then multiply by the percentage that remains (100% - 4% = 96%) and then put it to the ninth power because that is how many years the problem is asking for.

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Klio2033 [76]
17.7 years----------->Apex correct answer

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Hurry When solving a system of equations, Jared found y = x 10 for one equation and substituted x 10 for y in the other equation
Aloiza [94]
I can say that Jared and Nicole are correct because they manipulated the equation right. They can either write the equation as y as a function of x then substitute it to the y in the other equation and solve for x. They can also write the equation as x as a function of y and substitute it to x in the other equation and solve for y. For both solution, they will still obtain the same answers.
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SOMEBODY HELP ME PLS!
babunello [35]

Answer:

To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line.  Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.

To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line.  Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.

From inspection of the graph,

when x = 1,  y = -1

when x = 0, y = 2

when x = 2, y = -4

Therefore,

\begin{array}{| c | c |}\cline{1-2} x & y\\\cline{1-2} 1 & -1 \\\cline{1-2} 0 & 2 \\\cline{1-2} 2 & -4 \\\cline{1-2}\end{array}

To find the equation of the line, find the slope:

\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-1)}{0-1}=-3

Then use one of the points and the found slope with the point-slope form of a linear equation: y-y_1=m(x-x_1)

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3 0
2 years ago
g A catering service offers 7 %E2%80%8b Appetizers, 9 main%E2%80%8B courses, and 5 desserts. A banquet committee is to select 2
Feliz [49]

Answer:

945 ways

Step-by-step explanation:

<u>Total</u>

  • Number of Appetizers = 7
  • Number of main courses = 9
  • Number of desserts =5

<u>Required Selection</u>

  • Number of Appetizers = 2
  • Number of main courses = 8
  • Number of desserts =4

2  Appetizers out of 7 can be selected in ^7C_2 ways

8 main courses out of 9 can be selected in ^9C_8 ways

4 desserts out of 5 can be selected in ^5C_4 ways

Therefore, the number of ways this can be done

=^7C_2 \times ^9C_8 \times ^5C_4

=945 ways

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