Chapter 3 Test - Precalculus Honors

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What is the formula for exponential growth?

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The formula for exponential growth is given by: y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is the time period.

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How do you calculate the future population using exponential growth?

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To calculate future population, use the formula: P(t) = P_0 e^(rt), where P_0 is the initial population, r is the growth rate, and t is the time in years.

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What is the natural logarithm?

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The natural logarithm, denoted as ln(x), is the logarithm to the base e, where e is approximately equal to 2.71828.

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What is the common logarithm?

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The common logarithm is the logarithm to the base 10, denoted as log(x).

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4

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1.3652

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What is the relationship between logarithms and exponents?

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How do you convert between logarithmic and exponential forms?

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What is the formula for continuous growth?

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The formula for continuous growth is given by: A = Pe^(rt), where A is the amount after time t, P is the initial amount, r is the growth rate, and t is time.