Question

You are on a mountain and see three other mountain tops that
create a polygonal valley. Find the area of the valley if

one of the mountains is 20 miles north /10 miles east of you and
the second is 30 miles west/4 miles north of you and

the third is 50 miles north and 10 miles east of you.

Answer #1

area of the valley =600 sq.miles

Assume that there is a bowl-shaped valley in the southwestern
corner of Lincoln County, Minnesota. Let x = the distance moving
east from the southwest corner. Let y = the distance moving north
from the southwest corner. Then the altitude (A) in the valley is
described by the equation: A = f(x,y) = 1000 + 4x2 - 4xy + 2y2 - 8x
- 4y
Highway 14 runs due east/west through the county (horizontal
line) at y = 6 (i.e. 6...

Suppose that two boats leave a dock at different times. One
heads due north, the other due east. Find the rate at which the
distance between the boats is changing when the first boat is 34
miles from the dock traveling at a speed of 35 miles per hour and
the second boat is 20 miles from the dock traveling at a speed of
43 miles per hour.

Consider the following information about three stocks. Assume
you create your own portfolio and the weightage of the portfolio
for the following stock is as follows: 50% of stock A, 30% of stock
B and 20% of stock C.
Nigeria Economy
Probability of Happening
stock A
stock B
stock C
Expansion
0.4
26%
40%
50%
Normal
0.3
20%
30%
35%
Recession
0.3
15%
25%
10%
Required:
1) Find the portfolio expected return. (Hint: Only
one answer.)
2) Find the standard...

You decide that you want to take a walk to enjoy the nice
afternoon weather. You leave your house and walk 20 m due east.
Then in some unknown direction for some unknown distance. From this
unknown position, to get back home, you find that you have to
travel 8 m west and 10 m north. How far and in what direction did
you walk for your second leg of your trip (the unknown leg)?

Please show work
Question 3
You throw a rock from the edge of a 54.0 m high cliff. The
initial velocity of the rock is 25.6 m/s at an angle of 24.5° up
from the horizontal. How long is the rock in the air? How far from
the base of the cliff does it land?
Question 4
A sled is traveling at 15.0 m/s. It slides to rest under the
influence of friction in 2.54 s. What is the coefficient...

Add the following vectors:
1) Two people are pushing a disabled car. One exerts a force of
200 N east, the other a force of 150 N east. What is the net force
exerted on the car? (Assume friction to be negligible.)
2) Two soccer players kick a ball simultaneously from opposite
sides. Red #3 kicks with 50 N of force while Blue #5 kicks with 63
N of force. What is the net force on the ball?
3) An...

you
would like to create a portfolio that is equally invested in
treasury bills and three stocks. one stock has a beta of 1.04 the
second stock has a beta of 1.68 what does the better of the third
stock have to be if you want the portfolio to have a beta 15%
greater than the overall market show all work

Superior Markets, Inc., operates three stores in a large
metropolitan area. A segmented absorption costing income statement
for the company for the last quarter is given below:
Superior Markets, Inc.
Income Statement
For the Quarter Ended September 30
Total
North
Store
South
Store
East
Store
Sales
$
3,100,000
$
700,000
$
1,240,000
$
1,160,000
Cost of goods sold
1,705,000
380,000
687,000
638,000
Gross margin
1,395,000
320,000
553,000
522,000
Selling and administrative expenses:
Selling expenses
819,000
232,400
315,500
271,100
Administrative expenses...

Monroe County is trying to determine where to place the county
fire station. The locations of the county’s four major towns are as
follows: (10, 20), (60, 20), (40, 30), and (80, 60) (see Figure
7.50). Town 1 averages 40 fires per year; town 2, 25 fires; town 3,
20 fires; and town 4, 30 fires. The county wants to build the fire
station in a location that minimizes the average distance that a
fire engine must travel to respond...

Problem 11-26 Close or Retain a Store [LO11-2]
Superior Markets, Inc., operates three stores in a large
metropolitan area. A segmented absorption costing income statement
for the company for the last quarter is given below:
Superior Markets, Inc.
Income Statement
For the Quarter Ended September 30
Total
North
Store
South
Store
East
Store
Sales
$
4,800,000
$
960,000
$
1,920,000
$
1,920,000
Cost of goods sold
2,640,000
600,000
984,000
1,056,000
Gross margin
2,160,000
360,000
936,000
864,000
Selling and administrative expenses:...

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