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2 years ago

A population of 350 animals has a growth rate of 5% each year. Write a exponential function to model the situation.

Mathematics

1 answer:

iragen [17]2 years ago

7 0

Answer: A =350 (1.05)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t

Where:

p = original population

r = growing rate (decimal form; 5/100=0.05)

t= years

A = population after t years

Replacing with the values given:

A = 350 (1+0.05)^t

A =350 (1.05)^t

Feel free to ask for more if needed or if you did not understand something.

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Determine the slope of the line passing through the points (5,6) and (-5,-1)m=____

EleoNora [17]

GIVEN:

We are given two points on a line and these are;

$A=(5,6),\text{ }B=(-5,-1)$

Required;

We are required to determine the slope of the line passing through these points.

Step-by-step solution;

The slope of a line is given by the formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

The variables are;

$\begin{gathered} (x_1,y_1)=(5,6) \\ \\ (x_2,y_2)=(-5,-1) \end{gathered}$

We can now substitute these into the formula and then simplify;

$\begin{gathered} m=\frac{-1-6}{-5-5} \\ \\ m=\frac{-7}{-10} \\ \\ m=\frac{7}{10} \end{gathered}$

ANSWER:

The slope of the line passing through the given points is;

$m=\frac{7}{10}$

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6 months ago

The sum of two numbers is 66. two times the smaller number is 15 more then th larger number what are the numbers

Delicious77 [7]

Let x = big number

Let y = small number

x + y = 66...Equation A

2y = x + 15...Equation B

We have two equations in two unknowns.

x + x + 15 = 66

2x = 66 - 15

2x = 54

x = 54/2

x = 27

Plug x = 27 into EITHER equation above to find y.

I will use Equation A.

x + y = 66

27 + y = 66

y = 66 - 27

y = 39

The two numbers are 27 and 39.

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Step-by-step explanation:

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