Abstract Algebra Answers

Find the missing value. the principal is $500, the time is 7 years, the simple interest is $140.00, i have to find the rate.

1. Write the equation of a line given point (2, 11) and m = 5.

y = x +


2. Write the equation of a line given point (4, 14) and m = 2.

y = x +


3. Write the equation of a line given point (10, 23) and m = 3.

y = x +


4. Write the equation of a line given point (100, 320) and m = 4.

y = x +


5. Write the equation of a line given point (-5, 10) and m = -2.

y = x +


6. Write the equation of a line given point (5, 7) and m = 1/5.

y = x +


7. Write the equation of a line given point (14, -3) and m = 2/7.

y = x +


8. Write the equation of a line given point (-10, 9) and m = 3/5.

y = x +

Dominic arrived at work and went behind the counter at the north end. As he faced out over the counter, north was to his right, south to his left. While he was standing at the north end, a customer ordered a sandwich. Dominic went through these steps:
3 feet to his left to pick up the bread
2 feet to his right to put bread on the plate
4 feet to his left to get mayo and pickles
2 feet to his left to pick up knife and spoon
Returned to where the bread was on the plate
Turned around and got the salami out of the refrigerator
Put the sandwich together
3 feet to the left to serve the customer
4 feet to the left to get a soda
Back to the customer to give him the soda
To the south end of the counter to pick up the customer's money
Make suggestions for a more efficient arrangement

Test the significance of differences between the two samples using the following data
Sample Scores
First Sample 10 9 8 7 5 7 8 9 9 7 3
Second sample 16 14 11 10 6 5 12 13 15 11 3

0 is 2/3 of a complete rotation (counter clockwise)

write a linear function that satisfies the given conditions. f(0)=4, f(1)=7 and h(0)=13, h(3)=1

5. Vasudevan Inc. forecasts the free cash flows (in millions) shown below. If the weighted average cost of capital is 13% and the free cash flows are expected to continue growing at the same rate after Year 3 as from Year 2 to Year 3, what is the Year 0 value of operations, in millions?
Year: 1 2 3
Free cash flow: -$20 $42 $45
a. $586
b. $617
c. $648
d. $680
e. $714

This is not a math problem. Because there is no philosophy to choose in the subject.

premises:∀x [(Cube(x) ∧ Large(x)) ∨ (Tet(x) ∧ Small(x))]
∀x [Tet(x) → BackOf(x, c)]
conclusion:∀x [Small(x) → BackOf(x, c)]

give an informal proof. If it is not valid, use Tarski's World to construct a counter example.

find 82.5% of 400

The side of a square equals teh length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 48 square centimeters. Find the side of the squarel