What is the formula for exponential depreciation?

The formula for exponential depreciation is: $$V(t) = V_0(1 - r)^t$$ , where V(t) is the value at time t, V_0 is the initial value, r is the depreciation rate, and t is time.

What is the depreciation rate of a car valued at $15,000?

The depreciation rate of the car is 8% per year.

How much will a sailboat worth $5,950 be after 6 years with an 11% depreciation rate?

The sailboat will be worth $2,957.04 after 6 years.

What is the formula to find the remaining value of an asset after depreciation?

The formula is: $$V(t) = V_0(1 - r)^t$$ .

If a population of 100 yeast cells doubles every 4 hours, how many cells will there be after 12 hours?

After 12 hours, there will be 800 yeast cells.

What is the relationship between half-life and decay constant?

The decay constant (k) is related to half-life (t_1/2) by the formula: $$k = \frac{\text{ln}(2)}{t_{1/2}}$$ .

How do you determine the number of half-lives that have passed?

The number of half-lives that have passed can be determined by dividing the total time by the half-life: $$n = \frac{t}{t_{1/2}}$$ .

Half-life Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is half-life?

Back

Half-life is the time required for half of a sample of a radioactive substance to decay or for a quantity to reduce to half its initial value.

2.

FLASHCARD QUESTION

Front

Write the exponential decay formula.

Back

3.

FLASHCARD QUESTION

Front

What is the half-life of Florine-21?

Back

The half-life of Florine-21 is 4 seconds.

4.

FLASHCARD QUESTION

Front

Write the exponential equation for Florine-21 after t seconds.

Back

5.

FLASHCARD QUESTION

Front

How do you calculate the population of yeast cells after t hours if they double every 4 hours?

Back

6.

FLASHCARD QUESTION

Front

What is the doubling time for a population of yeast cells?

Back

The doubling time for the yeast cells is 4 hours.

7.

FLASHCARD QUESTION

Front

If a city doubles its population every 64 years, what will be the population after 128 years?

Back

The population will be 900,000.

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