A week = 7 days
6 inches = 7 days
x = 24 days
cross multiply -> 6 x 24 divide by 7
You reduce the fraction which would be 9b-1/3=5b+ 5/3
Then you move the variable to the left side and change its sign 9b-5b-1/3=5/3 then move the constant to the right side 9b-5b=5/3+1/3
Then collect the terms 4b= 5/3 + 1/3 add the fractions 4b = 2
Divide both sides of the equation which is b= 1/2
If Jana wins the contest, she will get two movie tickets, and if she gets two movie tickets, she will take her mother to the movies.
If you think about this deductively, and if you have the knowledge of syllogisms, this won't be difficult to solve.
So, this is the conclusion:
If Jana wins the contest, then she will take her mother to the movies.
This is the conclusion given that if she wins the contest, she will get the tickets she needs to take her mother to the movies. Otherwise, that won't happen.
The expression for finding the amount of money earned on interest is

where
P = principal (money you started with)
r = rate (in decimal form)
n = number of times compounded per year
t = time (in years)
In this case:
P = 3000
r = 0.02 (because 2% in decimal form is 0.02)
n = 1 (because it is compounded once every year)
t = 16 (because she got the money when she was 2 and we are calculating it for when she turns 18, 16 years later)
So, you plug it in:

So, the answer is (1) <span>3000(1 + 0.02)^16</span>