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REVIEW UNIT IV
L25 – L26
FORMULAS TO MEMORIZE
:
Compound Interest Formula:
1
nt
r
AP
n
⎛⎞
=+
⎜⎟
⎝⎠
Continuous Compounding:
rt
A
Pe
=
Exponential Growth or Decay:
( )
0
kt
A
tA
e
=
The Binomial Formula:
()
0
n
n
nj j
j
n
x
yx
y
j
−
=
+=
∑
, where
!
!!
n
n
j
jn j
=
−
Radioactive Decay:
0
1
2
t
m
At
A
=
, where m is the halflife of the radioactive substance.
1. George wants to buy a $30,000 car. He has saved $27,000. How many years will be needed
for $27,000 to increase to $30,000 at 4% compounded
(a) quarterly
(b) continuously?
2.
How long will it take a certain bacteria population to double if it grows according to the
formula
( )
(
)
3l
n
2/
2
0
t
Nt Ne
=
where
t
is in hours.
3.
A radioactive substance is decaying so that the number of grams present after
t
days is given
by
( )
0.02
2000
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This note was uploaded on 11/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Fall '10 term at University of Florida.
 Fall '10
 Picklesimer
 Formulas, Binomial

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