A) let x=months let y=cost y=mx+b y= 20x+ 60 Remember 20 is the variable which means in this case every month it cost 20$ and 60 is the constant which means you only pay it once
B) let x= Months let y= cost y=10x + 150
C) platinum gym y= 20x+60 y=20(1)+60 y=20+60 y=80 Superfit y=10x+150 y=10(1)+150 y=10+150 y=160 Therefore Tom will pay less after the first month
D) y=y solve for x y=20x+60 y=10x+150 20x+60=10x+150 -10x. -10x 10x+ 60=150 -60. -60 10x=90 10x/10=90/10 X=9 9 months Pick any equation and sub in x Y=10x+150 Y=10(9)+150 Y=90+150 Y=240 240$ Know that you only have to do one equation to find y but if you want to show both you can Therefore there is a period where Tom and Edward paid the same amount, after nine months they would both pay $240
E) if they plan on going to the gym 9 months and less the best deal gym is platinum gym but if they want to go for more then 9 months then the best deal gym is super fit
Answer:
3960.4 bacteria
Step-by-step explanation:
The formula to solve the above question is given as:
P(t) = Po (2) ^t/k
P(t) = Population after time t = ?
Po = Initial population = 650 bacteria
t = Time in days = 7.3 days
k = doubling time = 2.8 days
P(t) = 650 × (2)^7.3/2.8
P(t) = 650 × 2^2.6071428571
P(t) = 650 × 6.0929582599
P(t) = 3960.4228689 bacteria.
Approximately = 3960.4 bacteria
Therefore, the number of bacteria the researcher will have after 7.3 days if they started with 650 bacteria is 3960.4 bacteria.
Answer:
4 1/2
Step-by-step explanation:
Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e. 
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is 
The function form according to question is
The probability that X is less than 32 minutes is
Therefore, the probability that X is less than 32 minutes is 0.736.
