acdec math formulas!!!!

What is the formula for simple interest?

I = P x R x T (Interest earned = Principal x Interest rate (as a decimal) x Time

What is the formula for compound interest?

A = P(1 +(r/n))^(nt) Final Value = Principal(1+ (interest rate/number of compounds per year))^(number of compounds per year * time)

What is the binomial estimation rule?

(1+x)^n = 1 + nx when x is a very small number

What is the Fundamental Counting Principal?

When you have multiple choices for events that have no impact on the successive events (such as N1, N2, N3, etc.) use N1 x N2 x N3…

What is the permutation formula?

n!/(n-k)!, where n = number of options and k = number of items being arranged

What is the combination formula?

n!/(k! * (n-k)!)

What is the multiplication rule?

K objects can be arranged k! ways

What is the binomial distribution of probability formula?

r(ncr)s x p^s x q^f / n^r, where r=number of events, s=successes, f=failures, p=probability of success, q=probability of failure, n=total possible outcomes of event

What is the algebraic equation of a line?

y -y1 = m(x-x1)

What is a convex polygon?

A polygon where all interior angles are less than 180 degrees

What is a concave polygon?

A polygon where at least on interior angle is greater than 180 degrees

Formula for the sum of angles in a polygon

180(n-2), where n=number of sides

Formula for number of diagonals in a convex polygon

(n(n-3))/2

Area of a regular polygon with n sides and s side lengths formula

n x (s²/4) * tan((180(n-2)/2n)

What is the formula for the volume of a prism?

B x h, where B=area of base and h=height

What is the surface area of a prism?

Area of all faces added together

What is the formula for the volume of a cylinder?

pir²h

Formula for area of a cylinder

2pir² +2pirh

What is the volume of a pyramid?

1/3 x Bh

Volume of cone formula

1/3 x pir²h

Area of cone formula

pir²+pirl

Volume of sphere

4/3 x pir³

Area of sphere

4pir²

Area of circle

pir²

Circumfrence of circle

2pir

What is a central angle?

An angle whose vertex is at the center of the circle

What is an inscribed angle?

An angle whose vertex is a point on the circle and whose rays pass through the circle

What is an arc angle?

The angle of the arc of a circle

What is a chord?

A line segment whose endpoints are on the circle

What is a line tangent to a circle?

A line that only intersects a circle at one poin

What is a line secant to a circle?

A line that intersects a circle at two points

What is the arc angle of the entire circle?

360 degrees

The measure of an arc angle is the same as the measure of the…

Associated central angle

The measure of an inscribed angle is…

Half the measure of the intercepted arc

The measure of an angle between two intersecting chords is…

The average of the arc angles of the chords

The measaure of an angle between two intersecting secants is…

Half the difference between the intercepted arc angles

Volume of a cube

s³

Area of cube

6s²

Area of trapezoid

1/2(a+b)h