1
REVIEW UNIT IV
L25 – L26
FORMULAS TO MEMORIZE
:
Compound Interest Formula:
1
nt
r
A
P
n
⎛
⎞
=
+
⎜
⎟
⎝
⎠
Continuous Compounding:
rt
A
Pe
=
Exponential Growth or Decay:
( )
0
kt
A t
A e
=
The Binomial Formula:
(
)
0
n
n
n
j
j
j
n
x
y
x
y
j
−
=
⎛
⎞
+
=
⎜
⎟
⎝
⎠
∑
, where
(
)
!
!
!
n
n
j
j
n
j
⎛
⎞
=
⎜
⎟
−
⎝
⎠
Radioactive Decay:
( )
0
1
2
t
m
A t
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
( )
(
)
3
ln 2 / 2
0
t
N t
N e
=
where
t
is in hours.
3.
A radioactive substance is decaying so that the number of grams present after
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '10
 Picklesimer
 Binomial Theorem, Formulas, Binomial, Radioactive Decay, Exponentiation

Click to edit the document details