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Exponential Depreciation — Quiz Answers

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1
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Based on the graph, what can you infer about the initial value of the machine?

A
The initial value is increasing over time.
B
The initial value is equal to the value after 10 years.
C
The initial value is decreasing exponentially.
D
The initial value is around $100,000.
4

A laptop is purchased for $2,000 , and it loses 20% of its value each year. What equation models the value of the laptop after x years?

A
y is equal to 2 comma 000 minus 0 point 2 x
B
y is equal to 2 comma 000 times open paren 1 minus 0 point 2 close paren to the x th power
C
y is equal to 2 comma 000 x open paren 1 minus 0 point 2 close paren
D
y is equal to 2 comma 000 times open paren 1 plus 0 point 2 close paren to the x th power
8

A building worth $100,000 loses 5% of its value annually. Which equation models its depreciation over time x years??

A
y=100,000−0.05⁢x
B
y=100,000⁢(1+0.05)x
C
y=100,000⁢(1−0.05)x
D
y=100,000⁢x⁢(1−0.05)

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