Compound interest formula

Compound Interest Formula:

A=P(1+r/n)nt

A=Amount

P=Principal

r=Rate of interest

n=Rate of times per year, interest is compounded

nt=Time in years

Examples:

1. If you start a bank account with $10,000 and your bank compounds the interest quarterly at an interest rate of 8%, how much money do you have at the year's end ? (assume that you do not add or withdraw any money from the account)

Answer:

$10,824.32

2. The first credit card that you got charges 12.49 % interest to its customers and compounds that interest monthly. Within one day of getting your first credit card, you max out the credit limit by spending $1,200 . If you do not buy anything else on the card and you do not make any payments, how much money would you owe the company after 6 months?

Answer:

$12,77

(little bit of a highlighter problem lol)

Statistics

Statistics data

General forms of a sequence

General form of a sequence:

Arithmetic:

An=A1+(n-1)d

Geometric:

An=A1*R^(n-1)

These equations help translate a table, into a equation, all you have to do is calculate how much the numbers are increasing or decreasing on the y-intercept for the table. If the y-intercept is increasing by a multiplied amount then that table has a geometric equation. If the y-intercept has a continuous strand of numbers increasing by the same increment, then that table has a arithmetic equation.

Characteristics and Traits of a graph

Domain- Variables going from left to right.
Range- Variables going from bottom to top
End Behavior- The end directions of the equation created by the x and y-variables.
Absolute Max/Min- Equation of a line that opens up or down on a single point of origin.
Local Max/Min- Equation of a line that opens up or down in a range of points from the single origin.
Interval of increase- Intercept points of rising x and y-variables.
Interval of decrease- Intercept points of falling x and y-variables.
x-intercept- Intercept point of the x-value.
Y-intercept- Intercept point of the y-value.
Symmetry- Equations of a line that are either symmetrical to the Origin or y-axis, or that arent symmetrical at all.
Even/Odd/Niether- Even- Symet. to the y-axis Odd- Symet. to the Origin Neither- No symet.
Asymptotes- Invisible boundry line that sets how far a line can be from a specific poin on a graph
Function- Equation of a line that passes the Vert. Line Test.
One to One- Equation of a line that passes both the Vert. and the Horiz. Line Tests.