Question

Can someone check my answers? It's Advanced Algebra with Financial Applications. There are only 6 six questions. (:

Answer 1

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?

33,690

29,766 <-- My answer

30,076

87,159

Answer 2

Shelby purchased a plot of land for $27,500. The land appreciates about 2.9% each year. What is the value of the land after nine years?

$21,101.13

$35,568.95 <-- My answer

$34,677.50

$28,103.94

Answer 3

Luke purchased a motorcycle for $8,765. It depreciates about 5.3% each year. What is the value of the motorcycle after five years?

$6,442.27

$6,675.78 <-- My answer

$8,573.14

$11,347.33

Answer 4

The yearly attendance at a local movie theater is 82,000 and grows continuously at a rate of 5.1% each year. What is the approximate attendance at the movie theater in ten years?

136,554

85,552

134,847 <-- My answer

123,820

Answer 5

I think u got it right.

Answer 6

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 12 interactions.
If there are 4 children, there can be 39 interactions.

Which recursive equation represents the pattern?

an = an – 1 + 3(n – 1) <-- My answer (I completely guess on this one :l )

an = an – 1 + 3(n – 1)

an = an – 1 + (3n – 1)

an = an – 1 + (n – 1)3

Answer 7

Last one (:

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.

How many interactions will there be for 9 children?

135

84 <-- My answer (Again, this is just a guess :( )

93

108

Answer 8

the progression is correct

Answer 9

The progression? I'm sorry not sure which one that is

Answer 10

an = an – 1 + 3(n – 1)

Answer 11

Okay, I figured that was the one you were talking about lol

Answer 12

Do you think you could help me out with the last one then?

Answer 13

Or can anyone try and help me out? I would really like to get an A on this :D

Answer 14

....

Answer 15

Or not...? I'll just figure it out on my one then....

Answer 16

own*

Answer 17

Business - Perfect
Land - Perfect
Motorcycle - Perfect
Theatre - No Good. You missed the word "continuously".

Not Continuous: \(82000\cdot 1.051^{10}\) = Your Answer

Continuous: \(82000\cdot e^{0.051\cdot 10}\) = Correct Answer

Answer 18

How would I work that out?

Answer 19

Never mind, I figured it out.

The yearly attendance at a local movie theater is 82,000 and grows continuously at a rate of 5.1% each year. What is the approximate attendance at the movie theater in ten years?

136,554 <-- My NEW answer

85,552

134,847 <-- My OLD answer

123,820

Answer 20

@skullpatrol I can see you are the only one still looking at this, so can you help me out a little? If not, then please let me know (:

Answer 21

Okay, well thanks to those that helped out and checked my work for me (: Closing the question now.