The formula for the number of bacteria at time t is 1000 x (2^t).
The number of bacteria after one hour is 2828
The number of minutes for there to be 50,000 bacteria is 324 minutes.
<h3>What is the number of bacteria after 1 hour?
</h3>
The exponential function that can be used to determine the number of bacteria with the passage of time is:
initial population x (rate of increase)^t
1000 x (2^t).
Population after 1 hour : 1000 x 2^(60/40) = 2828
Time when there would be 50,000 bacteria : In(FV / PV) / r
Where:
- FV = future bacteria population = 50,000
- PV = present bacteria population = 1000
- r = rate of increase = 100%
In (50,000 / 1000)
In 50 / 1 = 3.91 hours x 60 = 324 minutes
To learn more about exponential functions, please check: brainly.com/question/26331578
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Answer :
(a) Amount paid after using the coupon = $b - $5 = $(b-5)
(b) Amount paid = $23.45 - $5 = $(23.45-5) = $18.45
Amount paid = $54.83- $5 = $(54.83-5) = $49.83
Step-by-step explanation :
As we are given that:
Amount of coupon = $5
If amount of total bill = $b
Now we have to calculate the amount paid after using the coupon.
Amount paid after using the coupon = Total amount of bill - Amount of coupon
Amount paid after using the coupon = $b - $5 = $(b-5)
Now we have to calculate the amount paid if bill was $23.45.
Amount paid after using the coupon = Total amount of bill - Amount of coupon
Amount paid = $23.45 - $5 = $(23.45-5) = $18.45
Now we have to calculate the amount paid if bill was $54.83.
Amount paid after using the coupon = Total amount of bill - Amount of coupon
Amount paid = $54.83- $5 = $(54.83-5) = $49.83
Answer:
8/5
Step-by-step explanation:
We can use the formula for finding slope for this: 


The answer would be 8/5
Answer:
a. $45 an hour
b. 5.25 hours
Step-by-step explanation:
a. The plumber charges $75 per job, so it is irrelevant to the number of hours they work. 45(h) is $45 multiplied by the number of hours they work.
b.
First, plug the numbers into the equation, the cost being C(h):
311.25 = 45(h) + 75
Next, subtract $75 as it is a set price that is always payed:
236.25 = 45(h)
Then, divide both sides by 45 to find how many hours were worked:
h = 5.25
Hours = $5.25