A=cost er adult ticket
c=cost per child ticket
2a+14c=96
12a+8c=120
solve
simplify by dividing firs equation by 2 and 2nd by 4
a+7c=48
3a+2c=30
multiply first equaiton by -3 and add to second
-3a-21c=-144
<u>3a+2c=30 +</u>
0a-19c=-114
-19c=-114
divide both sides by -19
x=6
sub back
a+7c=48
6+7c=48
minus 6
7c=42
divide 7
c=6
adult ticket=$6
child ticekt=$6
Answer:
Step-by-step explanation:
Given is a function
Average slope of this function is change of f(x) in (-2,6)/change of x in (-2,6)
= 
By mean value theorem there exists a c such that f'(c) = -18
i.e. 
Using quadratic formula
x = 2.61, -1.277
Out of these only 2.61 lies in the given interval
c = 2.61
Answer:
The answer is 53.25
Step-by-step explanation:
Before Tax Price: $50.00
Sale Tax: 6.50% or $3.25
After Tax Price: $53.25
Answer:
x ≈ 48.3177
Step-by-step explanation:
This is what logarithms are for (among other things).
log(1.1^x) = log(100)
x·log(1.1) = 2
x = 2/log(1.1) ≈ 48.3177
