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2 years ago

Question 2 (Essay Worth 10 points)

Mathematics

1 answer:

Soloha48 [4]2 years ago

5 0

Answer:

Account A: Decreasing at 8 % per year

Account B: Decreasing at 10.00 % per year

Account B shows the greater percentage change

Step-by-step explanation:

Part A: Percent change from exponential formula

f(x) = 9628(0.92)ˣ

The general formula for an exponential function is

y = ab^x, where

b = the base of the exponential function.

if b < 1, we have an exponential decay function.

ƒ(x) decreases as x increases.

Account A is decreasing each year.

We can rewrite the formula for an exponential decay function as:

y = a(1 – b)ˣ, where

1 – b = the decay factor

b = the percent change in decimal form

If we compare the two formulas, we find

0.92 = 1 - b

b = 1 - 0.92 = 0.08 = 8 %

The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.

Account B recorded a greater percentage change in the amount of money over the previous year.

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Answer:

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Step-by-step explanation:

Correct statement of the question is ;

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We solve it ;

Probability of taking out balls from urn 1

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b) for balck ball

$P(b_{1} )= \frac{1}{3}$

If one ball is taken from urn 1 and put in urn 2 (which readily contains one white and five black balls)

Probability of taking out balls from urn 2

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$P(w_{2} )=P(\frac{w_{2} }{w_{1} } ).P(w_{1} )+P(\frac{w_{2} }{b_{1} } ).P(b_{1} )$

$=\frac{2}{7} . \frac{2}{3} + \frac{1}{7}. \frac{1}{3} =\frac{5}{21}$

Then the probability that white ball was transferred from urn 1 to urn 2 is;

$P(\frac{white ball transfer }{w_{2} } )= \frac{P(\frac{w_{2} }{w_{1} } ).P(w_{2} )}{P(w_{2}) }$

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So, the probability that white ball is drawn from urn 2 is 4/5

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Step-by-step explanation:

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4 years ago

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ryzh [129]

Answer:

Fair game

Step-by-step explanation:

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