What is compound interest?
Ch 3.1 -3.2 Graded Flashcard (PC)

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
2.
FLASHCARD QUESTION
Front
How do you calculate the amount in an account with compound interest?
Back
The formula is A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
3.
FLASHCARD QUESTION
Front
What is an asymptote in mathematics?
Back
An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.
4.
FLASHCARD QUESTION
Front
How do you find the asymptote of the function f(x) = 2^(x-1) + 3?
Back
The horizontal asymptote is y = 3.
5.
FLASHCARD QUESTION
Front
What is the definition of logarithm?
Back
A logarithm is the power to which a number must be raised to obtain another number. For example, log_b(a) = c means b^c = a.
6.
FLASHCARD QUESTION
Front
How do you solve the equation log_8(x) = 2?
Back
Convert to exponential form: x = 8^2 = 64.
7.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
The change of base formula is log_b(a) = log_k(a) / log_k(b), where k is any positive number.
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