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stich3 [128]
2 years ago
9

I need help with this

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
8 0

Answer:

see below

Step-by-step explanation:

Part A

Angles 1 and 5 are alternate angles (z angles), which means they are equal.

Similarly, angles 3 and 6 are alternate (z angle), which means they are equal.

Part B

Angles on a straight line add up to 180°.

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Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = \frac{20}{100} \times P = 0.2P

So after 1 year value is decreased by 0.2P

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Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = \frac{20}{100} \times 0.8P = (0.2)(0.8P)

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taking 0.8P common out we get 0.8P(1-0.2)

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Similarly after 3 years, this value P(0.8)^{2} will again be decreased by 20 %

so 20% of P(0.8)^{2}  \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}

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taking P(0.8)^{2} common out we get P(0.8)^{2}(1-0.2)

P(0.8)^{2}(0.8)

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value after 1 year is P(0.8) or P(0.8)^{1}

value after 2 years is P(0.8)^{2}

value after 3 years is P(0.8)^{3}

so value after x years will be P(0.8)^{x} ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

y = P(0.8)^{x} where y is the value after x years

so thats the final answer

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