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2 years ago

Y=52(0.42)^x identify if it's growth or decay and determine the percentage rate of increase or decrease

Mathematics

1 answer:

Shkiper50 [21]2 years ago

4 0

Answer:

58%

Step-by-step explanation:

Given the exponential relation :

Y=52(0.42)^x

Since 0.42 is less than 1, then we can infer that the expression is a Decay function ;

. General form of a exponential function :

y = A(1 - r)^x ; r = Decay rate

Comparing the general equation with the equation given ;

The percentage rate of decrease is obtained thus :

1 - r = 0.42

1 - 0.42 = r

r = 0.58

Rate = 0.58 * 100%

Rate = 58%

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Solution:

Given that,

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From given,

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Thus $\theta$ is -0.896 radians

From given,

radius = 15.4 cm

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<em><u>The length of arc when angle in radians is:</u></em>

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Thus length of arc is 41.91 cm

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