2024 Algebra 2 Fall Semester Review

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What is compound interest?

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Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

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How do you calculate compound interest?

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The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years the money is invested or borrowed.

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What is the mean in statistics?

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The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

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What is standard deviation?

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Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

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What is a normal distribution?

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A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

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How do you find the area under a normal distribution curve?

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The area under the normal distribution curve can be found using z-scores and standard normal distribution tables or calculators.

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What is the natural logarithm?

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The natural logarithm, denoted as ln, is the logarithm to the base e, where e is approximately equal to 2.71828. It is the inverse function of the exponential function.

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What is the relationship between logarithms and exponents?

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The logarithm of a number is the exponent to which the base must be raised to produce that number. For example, if b^y = x, then log_b(x) = y.

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What is an imaginary number?

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An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, where i is defined as the square root of -1.

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How do you multiply complex numbers?

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To multiply complex numbers, use the distributive property (FOIL method) and combine like terms. For example, (a + bi)(c + di) = ac + adi + bci + bdi^2.