Answer:
In 4 months the cost of both gyms will be the same.
Step-by-step explanation:
At first we need to model the function to calculate the cost of the 2 gyms.
Slope-intercept equation of linear function
where
slope of line
y-intercept
Let linear function to calculate total cost of gym be:
where
total cost of gym
cost per month (slope)
number of months
start-up fee (y-intercept)
For Gym 1
, 
For Gym 2
, 
In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months 
So,
In 4 months the cost of both gyms will be the same.
Probability that both roads from a to b are blocked is the product of the individual probabilities, i.e.
P(~ab)=0.25*0.25=0.0625
Similarly
P(~bc)=0.25*0.25=0.0625
Probability that EITHER one or both of ab and bc are blocked is the sum of the probabilities:
P(~ab ∪ ~bc)=0.0625+0.0625=0.125
(recall that one cannot travel from a to c if either ab or bc is blocked.)
Therefore the probability that there exists an open route from a to c
= P(ac) = 1-P(~ab ∪ ~bc)
= 1 - 0.125
=0.875
Answer:
Step-by-step explanation:
3.45/5=0.69
0.69x$125=86.25
0.75x$125=93.75
93.75-86.25=$7.5
Troy would get $7.50 more than he would have if the exchange rate had stayed at .69
Answer:
No.
Step-by-step explanation:
f(x) = 3x^4-4x^2-3
If a function is odd then f(-x) = -f(x) for all values of x.
Here f(-x) = 3(-x)^4 - 4(-x)^2 - 3
= 3x^4 - 4x^2 - 3
So f(-x) = f(x) which makes it even.
