Regression and Basic Exponentials Flashcards

1
Q

a>0
b>1

A

increasing
concave up

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2
Q

a>0
0<b<1

A

decreasing
concave up

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3
Q

a<0
b>1

A

decreasing
concave down

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4
Q

a<0
0<b<1

A

increasing
concave down

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5
Q

y=a (b)^x local or global extrema?

A

no local or global extrema

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6
Q

HA? y=a (b)^x

A

y=0

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7
Q

R & D? y=a (b)^x

A

R: y<0 or y>0
D: All real #

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8
Q

if a>0

A

Graph is concave up
R: y>0

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9
Q

Banking Equation

A

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

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10
Q

Continuous Compounding

A

A = Pe^r(t)

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11
Q

Doubling Time

A

A=P(2) ^ t/d

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12
Q

A?

A

Final Amount

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13
Q

P?

A

Initial Amount

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14
Q

t?

A

time in years

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15
Q

n?

A

of compounding periods
- monthly = 12
- daily = 365
quarterly = 4

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16
Q

r?

A

interest rate as a decimal

17
Q

d?

A

doubling time

18
Q

h?

A

half life

19
Q

EAY

A

100 (1+r/n) ^ n

20
Q

if a<0

A

concave down
R: y < 0

21
Q

a>0

A

concave up
R: y > 0