ALGEBRA FORMULA SUMMARY
Slope of line through (x1, y1) and (x2, y2):
Point- slope equation of line through (x1, y1) with slope m:
y - y1 = m(x - x1)
Slope - intercept equation of line with slope m and y-intercept b:
y = b + mx
Definition of Zero , Negative , and Fractional Exponents
and,
in general,
and, in general, a
Also,
1.
For
example,
2.
For
example,
3.
For example,
Definition of Natural Log
y = ln x means ey = x, for example: ln1 = 0, since e0 = 1.
Rules of Natural Logarithms
ln(AB) = lnA + lnB
= lnA
- lnB
lnAp = p lnA
Identities
Exam 1
• Interest compounded annually :
• Interest compounded continuously :
• Profit = Revenue - Cost
• Revenue = (price)×( number sold )
• Exponential Growth :
where k > 0
• Exponential Decay :
where k < 0
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