Answer:
To solve an equation you can use PEMDAS, standing for parenthesis, exponents, multiplication, division and addition. If it's an equation like, x/3+7+13, you could use the distributive property. By separating variables.
Step-by-step explanation:
Given:
Price of tickets:
3 years ago - 8.75
now - 11
annual multiplier:
b³ = 11/8.75
b = ∛11/8.75
b = 1.079
The annual multiplier is 1.079.
1.079 * 100% = 107.9%
107.9% - 100% = 7.9%
The percentage increase is 7.9%
Answer:
Step-by-step explanation:
The average scores s (on a 100 point scale) for the students can be modeled by
s = 75 - 6 In(t + 1), 0 < t < 12
where t is the time in months.
a) Since the students were given an exam and then retested monthly with equivalent exams, then,
For the original exam, t = 0
Therefore,
s = 75 - 6 In(0 + 1) = 75 - 6 In1
s = 75 - 6 × 0 = 75
b) the average score after 4 months, t = 4
Therefore,
s = 75 - 6 In(4 + 1) = 75 - 6 In5
s = 75 - 9.66 = 65.34
c) s = 60
Therefore,
60 = 75 - 6 In(t + 1)
6 In(t + 1) = 75 - 60 = 15
In(t + 1) = 15/6 = 2.5
t + 1 = e^2.5 = 12.18
t = 12.18 - 1 = 11.18
t = 11 approximately
