A playground is being designed where children can interact with their friends in certain combinations.
If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 6 interactions.
If there are 3 children, there can be 15 interactions.
If there are 4 children, there can be 27 interactions.
How many interactions will there be for 7 children?
Answer
108
60
81
105
1 points
Question 2
A playground is being designed where children can interact with their friends in certain combinations.
If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 3 interactions.
If there are 3 children, there can be 9 interactions.
If there are 4 children, there can be 18 interactions.
Which recursive equation represents the pattern?
Answer
an = an – 1 + (n – 1)3
an = an – 1 + 3(n – 1)
an = an – 1 + 3(n – 1)
an = an – 1 + (3n – 1)
2 points
Question 3
Shirley purchased a plot of land for $19,500. The land appreciates about 3.9% each year. What is the value of the land after five years?
Answer
$23,302.50
$23,610.89
$15,982.75
$19,818.94
3 points
Question 4
Luke purchased a motorcycle for $8,765. It depreciates about 5.3% each year. What is the value of the motorcycle after five years?
Answer
$6,442.27
$6,675.78
$8,573.14
$11,347.33
3 points
Question 5
The yearly attendance at a local movie theater is 56,000 and grows continuously at a rate of 4.2% each year. What is the approximate attendance at the movie theater in nine years?
Answer
57,789
77,168
81,724
81,096
3 points
Question 6
The number of customers that visit a local small business is 51,200 and has been continuously declining at a rate of 3.8% each year. What is the approximate number of customers that visit the business in 14 years?
Answer
29,766
87,159
30,076
33,690


11072011, 06:08 PM #901★★SoFlo Crew★★
Misc Philosopher
Current / Goals
Deadlift: 465 / 500
Bench: 285 / 315
Squat 350 / 405

11082011, 04:03 AM #902

11082011, 09:27 AM #903

11082011, 08:45 PM #904

11092011, 05:28 PM #905
Question 2
Timothy deposited $1,023.48 in a savings account that earns 2.4% simple interest. What will Timothy’s account balance be in 5 months?
Answer
$1,023.48
$1,033.71
$1,048.04
$1,146.30
Question 3
Newton currently has a balance of $1,716.18 in an account he has held for 29 years. He opened the account with an initial deposit of $784. What is the simple interest rate on the account?
Answer
4.1%
3.4%
7.5%
1.9%
Question 4
Jerry currently has an account balance of $1,109.80. His initial deposit on the account was $775 and it earned 2.7% simple interest. How long has Jerry held the account?
Answer
37 years
11 years
16 years
53 years
Question 8
Galvin has deposited $879 in a savings account that earns interest at a rate of 1.8% compounded quarterly. What will the account balance be in 14 years?
Answer
$894.82
$1,582.20
$1,130.28
$2,387.07
Question 10
Karen currently has an account balance of $7,062.25. She opened the account 17 years ago with a deposit of $2,640.95. If the interest compounds monthly, what is the interest rate on the account?
Answer
5.8%
4.1%
0.5%
7.2%
Question 11
Whitney opened a savings account 25 years ago with a deposit of $4,280.83. The account has an interest rate of 5.4% compounded twice a year. How much interest has Whitney earned?
Answer
$4,511.99
$11.661.19
$16,219.97
$11,939.14
Question 12
Rhonda deposited $4,227.29 into a savings account with an interest rate of 4.9% compounded monthly. About how long will it take for the account to be worth $9,000?
Answer
15 years, 6 months
33 years, 2 months
15 years, 10 months
3 years, 8 months
Question 13
Perry deposited $8,250 into a savings account 13 years ago. The account has an interest rate of 4.7% and the balance is currently $14,988.59. How often does the interest compound?
Answer
quarterly
daily
monthly
annually
Question 15
A video game has been developed whereby the player must earn a certain number of experience points before progressing to the next level.
On level 1, a player must earn 2 experience points.
On level 2, a player must earn 4 experience points.
On level 3, a player must earn 7 experience points.
On level 4, a player must earn 11 experience points.
Which recursive equation represents the pattern?
Answer
an = an – 1 + n
an = an – 1 – n
an = an – 1 + 2n
an = an – 1 – 2n
Question 16
Tonya purchased a building for $295,150. The land appreciates about 5.6% each year. What is the value of the land after 17 years?
Answer
$745,297.04
$110,806.87
$319,460.14
$576,132.80
Question 17
Malory purchased a car for $21,825. It depreciates about 5.8% each year. What is the value of the car after six years?
Answer
$21,199.67
$15,249.64
$30,610.35
$14,229.90
Question 18
The yearly attendance at a local restaurant is 36,500 and grows continuously at a rate of 5.6% each year. What is the approximate attendance at the restaurant in 12 years?
Answer
70,188
71,472
61,028
38,597
The yearly attendance at a local restaurant is 36,500 and grows continuously at a rate of 5.6% each year. What is the approximate attendance at the restaurant in 12 years?
Answer
70,188
71,472
61,028
38,597
Question 19
The population of a small town is 47,288 and has been continuously declining at a rate of 2.4% each year. What is the approximate population of the town in 21 years?
Answer
78,277
23,455
28,392
28,567
Please put the correct number and if you get it wrong it will come up, negs =/. Last test I got a 7/15. Help!★★SoFlo Crew★★
Misc Philosopher
Current / Goals
Deadlift: 465 / 500
Bench: 285 / 315
Squat 350 / 405

11092011, 07:00 PM #906
 Join Date: Jun 2005
 Location: In the squat rack, doing kickbacks.
 Posts: 7,783
 Rep Power: 5684
You don't have a specific question or something you're stuck on... you just want people to simply do your entire sheet of homework for you? And then threaten negs if they get them wrong? This can't be serious, get out of here with that.
"Adversity reveals genius, prosperity conceals it."
Think about what you want in life. Then ask yourself what you're doing to achieve it.

11092011, 07:43 PM #907

11112011, 06:19 AM #908

11142011, 05:37 AM #909

11152011, 07:59 PM #910

11152011, 11:31 PM #911

11162011, 06:25 AM #912
 Join Date: Dec 2009
 Location: Massachusetts, United States
 Age: 26
 Stats: 6'0", 180 lbs
 Posts: 3,707
 Rep Power: 3194
k bro, let me take you through this step by step:
1. tan2x = sin2x/cos2x by definition
2. sin2x = 2sinxcosx and cos2x= 2(cos(^2)x)1 by double angle
3. tan2x = 2sinxcosx/(2(cos(^2)x)1) = b/a ... just plugging in step 2 into the result of step 1
4. 2asinxcosx = 2b(cos(^2)x)b by cross multiplying
5. sinxcosx = (b/a)(cos(^2)x)(b/2a) by dividing by 2a
now that you have a formula, check your bounds, i.e. plug in pi/2 and pi
6. (b/a)(cos(^2)x)(b/2a) at pi/2 = 0(b/2a) = b/2a since cos(pi/2) is 0.
7. (b/a)(cos(^2)x)(b/2a) at pi = (b/a)(b/2a) = 3b/2a since cos(pi) = 1, so cos(^2)pi = 1*1 = 1
To conclude, 0<=sinxcosx<=(3b/2a)
I'm not sure if this is what your teacher wants, but I think it is...

11162011, 03:06 PM #913

11162011, 06:26 PM #914

11162011, 07:08 PM #915
 Join Date: Jun 2005
 Location: In the squat rack, doing kickbacks.
 Posts: 7,783
 Rep Power: 5684
A critical point is either where the derivative equals zero or where the function can't be differentiated. sec^2x = 1/cos^2x which never equals 0. But the function does not exist when the denominator equals 0 so it obviously can't be differentiated there. So the critical points are basically when cos^2x = 0
cos^2x = 0 > cosx = 0 > x = n*pi/2 where n is an odd integer e.g. 1,3,5,7,9,..."Adversity reveals genius, prosperity conceals it."
Think about what you want in life. Then ask yourself what you're doing to achieve it.

11162011, 07:14 PM #916

11162011, 07:23 PM #917

11172011, 01:51 PM #918

11172011, 01:52 PM #919
Writing a mock interview and resume. The applicant? Sir Francis Bacon. I need interview questions! I have no idea how to go about this..
Insanity: doing the same thing over and over again and expecting different results.
Little guys can do big things too!
160 bench.(:
Married to xBONExCROWNx <3
Yet, member of the Forever Alone Crew :/

11172011, 06:07 PM #920

11172011, 08:06 PM #921
 Join Date: Jun 2010
 Location: Brampton, Ontario, Canada
 Age: 22
 Stats: 5'11", 200 lbs
 Posts: 306
 Rep Power: 175
1) When a pendulum 0.5m long swings back and forth, its angular displacement Ɵ from rest position, in radians is given by Ɵ=1/4sin((pi/2)t), where t is the time, in seconds. At what time(s) during the first 4 s is the pendulum displaced 1 cm vertically above its rest position? (assume the pendulum is at its rest position at 0).

11262011, 12:58 PM #922

11262011, 02:25 PM #923
 Join Date: Jun 2005
 Location: In the squat rack, doing kickbacks.
 Posts: 7,783
 Rep Power: 5684
The pendulum is .5m long so you wanna figure out how many radians you need to move it in order to raise its height by 1cm or .01m You can draw a right triangle with a hypotenuse of .5 and a vertical leg of .49, what you get is the arccosine of .49/.5 which is about .2 radians.
Now let's look at your given function of Ɵ=1/4sin((pi/2)t) we know theta is .2 so:
.2 = .25sin(pi/2*t) We wanna solve for t but let's keep in mind sin is a cyclic function, so t will have multiple answers to give a theta of .2 (we want every answer within the first 4 seconds).
.2 = .25sin(pi/2*t) > .8 = sin(pi/2 *t) ; arcsine .8 to get: .9273 = pi/2 *t > t= .59 seconds
If we plug .59 seconds in as t we'll get sin(.92677) which is .8 so need every value of x where sin(.92677+2npi) where n is an integer.
The best way to do that may just be to keep finding answers for .92677+2npi then setting them equal to pi/2 *t solving for t and stopping once t passes 4 seconds. Try it out.
I'm a physics major"Adversity reveals genius, prosperity conceals it."
Think about what you want in life. Then ask yourself what you're doing to achieve it.

11262011, 10:41 PM #924

11292011, 01:24 PM #925

11302011, 03:24 PM #926
Ok brahs this ones easy...
I need to come up with a 3 topic for a research paper (the theme is shakespeare or elizabethan england)
I already have one "Why Shakespeare should not be taught in school/forced upon unwilling minds"
but i need 2 more, preferably some that would be intredasting*~ Tmisc Swole Brahs~*
~~Team Comono Brahs~~

11302011, 07:15 PM #927
Please show all work.
Q1. A 75 kg skydiver falls at a terminal velocity (220 km/h) before pulling the chute. If she slows to 25 km/g in 3.8 s, determine the average force of air friction that acts on her during her deceleration.
Q2a. A 1350 kg crash test car strikes a cement wall at 24.0 m/s and bounces back at 8.0 m/s. If it is in contact with the wall for 0.90 s, what force did the wall exert on the car?
Q2b. If the same car had no crumple zones, then it would be in contact with the wall for 0.080 s. What force would the wall exert in this case?
I have a physics test tomorrow. If you could help me solve these problems, I would be so thankful.

11302011, 07:22 PM #928
 Join Date: Feb 2008
 Location: United States
 Age: 25
 Stats: 1'1", 1 lbs
 Posts: 12,809
 Rep Power: 1613
And crawling on the planet's face, some insects called the human race. Lost in time, and lost in space
"Life has become immeasurably better since I have been forced to stop taking it seriously" Hunter S. Thompson
"A friend to all is a friend to none" aristotle
"A person starts to live when he can live outside himself."  Albert Einstein
My own suspicion is that the Universe is not only queerer than we suppose, but queerer than we CAN suppose. J.B.S. Haldane

12012011, 09:16 PM #929

12022011, 02:31 PM #930
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