Arithmetic Sequence and Series:
Arithmetic Sequence: a sequence whose successive terms different by the same
amount.
Ex) find 10th term of an arithmetic sequence, if t3=-5, t6=16.
An=ar+(n-r)d
t10= 16
Solving 3 Variable Equation
Step 1) eliminate the same variable from 2 different pair of equations
Step 2) Solve the remaining system of equation
Step 3) Substitute these answers back into any origina
Variation
I. Direct Variation
Equation is also a linear function: y=kx.
As x increases, y increases. And as x decreases, y decreases.
K is the constant of variation.
Ex. If y varies directly as x and
Log Function
Exponential form:
Log form:=y
Ex 1 ) Rewrite in log form
a.
Ex 2) Exponential form
a.
If , then its common log, = 2.
And
Ex 3) Solve
a.
=1
b)
y = 81
Log properties:
base need to be same
E
Word Problem (System of three Variables)
1. 105 coins were collected on the walnut street bus Quarter, Nickel, Dime. Three
times the number of nickels is the same as twice the number of dimes. A total
Word Problem (Number, Perimeter and Coin)
1. Find two numbers such that the second is 3 more than twice the first. Their sum is
36.
2. The greater of two numbers is 7 more than the smaller. If the gre
Word Problem (Number)
1. A number is 8 more than another. Their sum is 164. Find the numbers.
2. The difference between twice one number and a smaller number is 21. The sum of
the smaller and twice th
World Problem (Motion)
1. An airplane left Philadelphia at 1PM and flew directly east at 340 mph. At 2:30, a
jet plane traveling at 595mph started east from the same airport. In how many
hours did the
Log Word Problem
Growth and decay
Compound Growth:
Continuous Growth:
Compound Decay:
Continuous Decay:
OR
OR
1. Suppose $500 is invested at 6% annual interest compounded twice a year. When
will the i
Factoring Polynomials
I. Common Monomial Factor (GCF) Distributive Property
Divide the common monomial out of each term
Ex)
Factor the following
2.
1.
3.
II. Difference of Two Square the first term is
Applications of Polynomial Equations
I. Pythagorean Theorem
1. The length of a rectangular parking lot is 50feet longer than it is wide. Determine
the dimensions of the parking lot are the parking lot
LICENCIATURA EN ADMINISTRACIN DE
EMPRESAS
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MATEMATICAS FINANCIERAS
UNIVERSIDAD INTERAMERICANA PARA EL
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NICOLS ESTRADA GONZLEZ
2DO CUATRIMESTRE
ndice
Objetivo.
I