Unit 4B Review

Last updated over 2 years ago
37 questions
1

Solve (round to the nearest hundredth, if necessary): 3x+4 = 112.

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Solve (round to the nearest hundredth, if necessary): 123x-1 = 740.

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Solve (round to the nearest hundredth, if necessary): 52x + 7 = 22.

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Solve (round to the nearest hundredth, if necessary): e11x = 355.

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Solve (round to the nearest hundredth, if necessary):

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Solve (round to the nearest hundredth, if necessary):

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Solve (round to the nearest hundredth, if necessary):

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Solve (round to the nearest hundredth, if necessary):

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Solve (round to the nearest hundredth, if necessary):

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Solve (round to the nearest hundredth, if necessary):

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Solve (round to the nearest hundredth, if necessary):

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Solve (round to the nearest hundredth, if necessary):

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What is the extraneous solution to this equation?

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What is the actual solution to this equation?

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What is the extraneous solution to this equation?

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What is the actual solution to this equation?

1

Write a function to model a $14000 investment at 1.5% interest, compounded annually.

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What is the balance of a $14000 investment at 1.5% interest, compounded annually, after 10 years?

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How many years until a $14000 investment at 1.5% interest, compounded annually, exceeds $20,000?

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Write a function to model a $12000 investment at 3.2% interest, compounded annually.

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What is the balance of a $12000 investment at 3.2% interest, compounded annually, after 10 years?

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How many years until a $12000 investment at 3.2% interest, compounded annually, exceeds $20,000?

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Write a function to model a $14000 investment at 1.5% interest, compounded continuously. (Use x as your variable.)

1

What is the balance of a $14000 investment at 1.5% interest, compounded continuously, after 10 years?

1

How many years until a $14000 investment at 1.5% interest, compounded continuously, exceeds $20,000?

1

Write a function to model a $12000 investment at 3.2% interest, compounded continuously. (Use x as your variable.)

1

What is the balance of a $12000 investment at 3.2% interest, compounded continuously, after 10 years?

1

How many years until a $12000 investment at 3.2% interest, compounded continuously, exceeds $20,000?

1

Write a decay equation that models the decay of Promethium-145, with a half-life of 17.5 years and an initial amount of 1200mg.

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What is the decay constant for Promethium-145? Round to 6 decimal places.

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How many years would it take for 1200 mg of Promethium-145 to decay to 50 mg?

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Write a decay equation that models the decay of Actinium-227, with a half-life of 22 years and an initial amount of 800mg.

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What is the decay constant for Actinium-227? Round to 6 decimal places.

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How many years would it take for 800 mg of Actinium-227 to decay to 50 mg?

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Write a decay equation that models the decay of Californium-251, with a half-life of 898 years and an initial amount of 610mg.

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What is the decay constant for Californium-251? Round to 6 decimal places.

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How many years would it take for 610 mg of Californium-251 to decay to 50 mg?