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Anni [7]
3 years ago
6

Match each exponential function to the description of its percent rate of change. 22% growth 12% decay 2% decay 20% growth 20% d

ecay 22% decay 2% growth 12% growth. f(x) = 44(0.88)^x, f(x) = 124(1.22)^x, f(x) = 22(0.8)^x, f(x) = 42(1.12)^x
Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

The exponential function is defined as y = a(1+r)^x, where "a" represents the original account and "r" the rate of growth or decay.

Then we have the following:

1) 22% grow

y = a( 1 + 22%/100 )^x = a(1.22)^x

So the solution is: 124(1.22)^x

2) 12% decay

y = a( 1 - 12%/100 )^x = a(0.88)^x

So the solution is: y = f(x) = 44(0.88)^x

3) 20% decay

y = a( 1 - 20%/100 )^x = a(0.8)^x

So the solution is: f(x) = 22(0.8)

4) 12% Groth

y = a( 1 + 12%/100 )^x = a(1.12)^x

So the solution is: f(x) = 42(1.12)^x

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

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First, find 25% of 49.95. Turn 25% into a decimal by dividing by 100.

25% ⇒ 0.25

Now, multiply 0.25 by 49.95.

0.25 × 49.95 = 12.46

25% of 49.95 is 12.46, so subtract 12.46 from 49.95.

49.95 - 12.46 = 37.49

<h2>Answer:</h2>

<u>The discounted price of the jacket is </u><u>$37.49</u><u>.</u>

Now find 8% of 37.49.

8% ⇒ 0.08

Multiply 0.08 by 37.49.

0.08 × 37.49 = 2.99

<h2>Answer:</h2>

<u>The tax is </u><u>$2.99</u><u>.</u>

To find the full price, add 37.49 and 2.99 together.

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<h2>Answer:</h2>

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