Combo: Exponential Equations + Applications
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential equation?
Back
An exponential equation is an equation in which a variable appears in the exponent. It can be expressed in the form y = ab^x, where a is a constant, b is the base, and x is the exponent.
2.
FLASHCARD QUESTION
Front
What does it mean for interest to be compounded quarterly?
Back
Compounded quarterly means that the interest on a loan or investment is calculated and added to the principal four times a year.
3.
FLASHCARD QUESTION
Front
How do you calculate the total amount paid on a loan with compound interest?
Back
The total amount paid can be calculated using the formula A = P(1 + r/n)^(nt), where A is the total 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.
4.
FLASHCARD QUESTION
Front
What is the formula for exponential growth?
Back
The formula for exponential growth is y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is the time.
5.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
The formula for exponential decay is y = a(1 - r)^t, where a is the initial amount, r is the decay rate, and t is the time.
6.
FLASHCARD QUESTION
Front
How do you find the base of an exponential function?
Back
The base of an exponential function can be found by identifying the constant factor that is raised to the power of the variable.
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in an exponential function?
Back
The y-intercept of an exponential function is the value of y when x = 0, which represents the initial amount before any growth or decay occurs.
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