These math questions are kicking my butt. ANY HELP?

I have done these questions over and over again and can't get them right. Help please! 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 only 1 interaction. If... show more I have done these questions over and over again and can't get them right. Help please!
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 only 1 interaction.
If there are 3 children, there can be 4 interactions.
If there are 4 children, there can be 9 interactions.

How many interactions will there be for 8 children?
Answer 49
64
40
36
.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 only 1 interaction.
If there are 3 children, there can be 4 interactions.
If there are 4 children, there can be 9 interactions.

Which recursive equation represents the pattern?
Answer an = an–1 + 3n – 2
an = an–1 + 2n – 3
an = an–1 + (3n – 2)
an = an–1 + (2n – 3)
.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 $19,818.94
$23,302.50
$15,982.75
$23,610.89
.3 points
Question 4

Luther purchased a motorcycle for $11,592. It depreciates about 7.2% each year. What is the value of the motorcycle after six years?
Answer $11,180.90
$7,403.66
$17,592.48
$6,584.26
.3 points
Question 5

The yearly attendance at a local movie theater is 42,000 and grows continuously at a rate of 5.9% each year. What is the approximate attendance at the movie theater in seven years?
Answer 62,737
59,346
43,467
63,476
.3 points
Question 6

The number of customers that visit a local small business is 37,800 and has been continuously declining at a rate of 1.7% each year. What is the approximate number of customers that visit the business in 12 years?
Answer 30,770
32,017
30,824
46,354
1 answer