San Jose State University
Department of Mathematics
MATH 70, Practice Midterm 1, Instructor: Plamen Koev
Reference formulas:
Simple interest:
A = P (1 + rt)
(1)
Compound interest: A = P (1 + i) , i = r/m
n
Continuous compound interest: A = P e
Future valu
San Jose State University
Department of Mathematics
MATH 70, Practice Midterm 1, Instructor: Plamen Koev
Reference formulas:
Simple interest:
A = P (1 + rt)
(1)
Compound interest: A = P (1 + i) , i = r/m
n
Continuous compound interest: A = P e
Future valu
SJSU, MATH 70, Plamen Koev, Practice Midterm 3
1. Find the maximum value of x + 3y on the region dened by x 0, y 0, x + y 3, 2x + y 5.
2. Show that [(p q) p)] (q p).
3. Of 100 people surveyed, 50 own a car, 50 own a TV, and 50 own both. How many own neith
SJSU, Math 70, Practice Final, Fall 2010, Instructor: Plamen Koev
Closed book, closed notes, no calculators.
Reference formulas:
Sets: n(A B) = n(A) + n(B) n(A B)
Probability: P (A B) = P (A) + P (B) P (A B)
Conditional probability: P (A|B) = P (A B)/P (B
San Jose State University
Department of Mathematics
MATH 70, Practice Midterm 2, Instructor: Plamen Koev
Problems:
1. Compute the inverse of the matrix:
2 4 11
1 1 1 .
1 0 3
2. Solve the linear system:
2x1 + 4x2 + 11x3 = 1
x1 + x2 + x3 = 1
x1 + 3x3 = 1
3