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IrinaVladis [17]

3 years ago

5

The population of a town was 47,000 in 1950 and 83,000 in 2010. Assume the rate of population increase is constant. What will th

e population be in 2015?
A) 86,000 B) 89,000 C) 85,400 D) 83,600

1 answer:

dangina [55]3 years ago

5 0

If it's gradual, it goes up 3,000 every 5 years. So, the answer is A) 86,000

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How do you perform this: 2x+3y=25 3x+4y=22

meriva

Answer:

x = -34 , y = 31

Step-by-step explanation suing Gaussian elimination:

Solve the following system:

{2 x + 3 y = 25

3 x + 4 y = 22

Express the system in matrix form:

(2 | 3

3 | 4)(x

y) = (25

22)

Write the system in augmented matrix form and use Gaussian elimination:

(2 | 3 | 25

3 | 4 | 22)

Swap row 1 with row 2:

(3 | 4 | 22

2 | 3 | 25)

Subtract 2/3 × (row 1) from row 2:

(3 | 4 | 22

0 | 1/3 | 31/3)

Multiply row 2 by 3:

(3 | 4 | 22

0 | 1 | 31)

Subtract 4 × (row 2) from row 1:

(3 | 0 | -102

0 | 1 | 31)

Divide row 1 by 3:

(1 | 0 | -34

0 | 1 | 31)

Collect results:

Answer: {x = -34 , y = 31

6 0

3 years ago

Evaluate 10x^2y^-2 for x = –1 and y = –2a) 10(2)^0b) 2 1/2c) 40d) 5/8

timurjin [86]

10x^2y^-2 = 10 x (-1)^2 x (-2)^-2 = 10 x 1 x 1/4 = 10/4 = 2 1/2

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3 years ago

A population of bacteria is 8500 on Day 1, 9350 on Day 2, and 10285 on Day 3.

11111nata11111 [884]

Answer:

<em>The population on 30th day will be </em><em>134836</em><em>.</em>

Step-by-step explanation:

This is a case of exponential growth. The general form of exponential function is,

$y=ab^x$

where, a and b are constants.

The data points from the question are $(1,8500),(2,9350),(3,10285)$

Putting the values in the function,

for $x=1, y=8500$

$8500=ab$ ----------1

for $x=2, y=9350$

$9350=ab^2$ ------2

Dividing equation 2 by 1,

$\Rightarrow \dfrac{ab^2}{ab}=\dfrac{9350}{8500}=1.1$

$\Rightarrow b=1.1$

Putting the value of b in equation 1,

$\Rightarrow a=\dfrac{8500}{1.1}=7727.27$

Now the function becomes,

$y=7727.27(1.1)^x$

Putting x=30, we get

$y=7727.27(1.1)^{30}=134836.2\approx 134836$

4 0

3 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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Now, we can use a method called rise over run, which is y-value/x-value.

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2 years ago

Please help! Answer, solution, and everything please!

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3 years ago