Math Unit 7 formulas Flashcards

1
Q

y=a(1+r)^t

A

Exponential growth function

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2
Q

t or x=

A

time

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3
Q

r=

A

rate

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4
Q

y=

A

final value

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5
Q

a=

A

initial value

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6
Q

A=

A

Final value

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7
Q

P=

A

intial value

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8
Q

n=

A

number of time periods

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9
Q

y= a(1-r)^x

A

decay exponential equation

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10
Q

A= P(1+rt)

A

simple interest formula

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11
Q

A= P(1+r/n)^nt

A

Compound interest formula

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12
Q

A1=_, an=r(an-1), n>=2

A

Recursive Geometric

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13
Q

a1=_, an=an-1+d, n>=2

A

Recursive Arithmetic

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14
Q

an=a1(r)^n-1

A

Geometric Explicit

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15
Q

an=a1+(n-1)d

A

Arithmetic Explicit

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16
Q

f(x)=+-ab^(x-h)+k

A

Exponential Transformations Equation

17
Q

h>0-shifts right

A

stuff to remeber (x-h)

18
Q

h<0 the function shifts left

A

(x+h)

19
Q

If k>1 function shifts

A

up

20
Q

If k<1 function shifts

A

down

21
Q

If a is negative,

A

reflection over x-axis

22
Q

a>1,

A

stretch

23
Q

0<a<1

A

shrink

24
Q

b>1

A

exponential growth

25
Q

0<b<1

A

exponential decay