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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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Step-by-step explanation:

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What is the gcf of 92 and 100
Elena-2011 [213]
92= \textcircled{2} \times \textcircled{2} \times 23 \\
100=\textcircled{2} \times \textcircled{2} \times 5 \times 5 \\ \\
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The GCF of 92 and 100 is 4.
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Keegan leans an 18-foot ladder against the top of a wall. The bottom of the ladder is 4.5 feet from the base of the wall. What i
zaharov [31]

Answer: C. 17.5 feet

Step-by-step explanation:

The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine the height of the wall, we would find BC by applying Pythagoras theorem

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18^2 + 4.5^2 + BC^2

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3 years ago
Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. If 19 people are ran
Mademuasel [1]

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4 0
3 years ago
Read 2 more answers
Find QN. Please show all the work on how you got your answer
Effectus [21]

QN = 28

Solution:

Given MNPQ is a parallelogram.

QT = 4x + 6 and TN = 5x + 4

To find the length of QN:

Let us solve it using the property of parallelogram.

Property of Parallelogram:

Diagonals of the parallelogram bisect each other.

Therefore, QT = TN

⇒ 4x + 6 = 5x + 4

Arrange like terms together.

⇒ 6 – 4 = 5x – 4x

⇒ 2 = x

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Substitute x = 2 in QT and TN

QT = 4(2) + 6 = 14

TN = 5(2) + 4 = 14

QN = QT + TN

      = 14 + 14

QN = 28

The length of QN is 28.

3 0
3 years ago
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