Use the exponential growth model, A = A0 e^kt to show that the time is takes a population to double (to frow from A0 to 2 A0) is given by t = ln 2/k.
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Answer:
Proof below
Step-by-step explanation:
Exponential Grow Model
The equation to model some time dependant event as an exponential is
Where Ao is the initial value, k is a constant and t is the time. With the value of Ao and k, we can compute the value of A for any time
We are required to find the time when the population being modeled doubles from Ao to 2 Ao. We need to solve the equation
Simplifying by Ao
Taking logarithms in both sides
By properties of logarithms and since lne=1
Solving for t
Hence proven
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Answer:
2107.575
Step-by-step explanation:
Final answer:
To find the attendance on Tuesday, we need to add the change in attendance from Monday to Tuesday to the attendance on Monday.
Explanation:
The attendance at Treeton Middle School was 2,465 on Monday. The table shows the change in attendance from the previous day. To find out the attendance on Tuesday, we need to add the change in attendance from Monday to Tuesday to the attendance on Monday.
Change in attendance from Monday to Tuesday: -53
Attendance on Monday: 2,465
Attendance on Tuesday = Attendance on Monday + Change in attendance from Monday to Tuesday
Attendance on Tuesday = 2,465 + (-53) = 2,412
Therefore, the equation that shows the attendance on Tuesday is: Attendance on Tuesday = 2,412.
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it's simple
3t+3
just this
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Answer:
24
Step-by-step explanation:
12+12
15 points
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answer
TRUE
HOPE IT WILL HELP YOU
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Tanya has 26 quarters and 18 dimes.
Given that Tanya has 44 quarters and dimes which worth $8.30, we need to find the number of each coin type,
To find the same we will use the concept of system of Linear equations,
Let's solve this problem step by step.
Let's assume Tanya has x quarters and y dimes.
The value of x quarters is 25x cents.
The value of y dimes is 10y cents.
According to the given information, the total value of the quarters and dimes is $8.30, which is equivalent to 830 cents. So we have the equation:
25x + 10y = 830 ...........(Equation 1)
Tanya has 44 coins in total:
x + y = 44 ...........(Equation 2)
Now, we can solve this system of equations (Equation 1 and Equation 2) to find the values of x and y.
Multiplying Equation 2 by 25, we get:
25x + 25y = 1100 ...........(Equation 3)
Subtracting Equation 3 from Equation 1, we eliminate the x term:
25x + 10y - (25x + 25y) = 830 - 1100
-15y = -270
Dividing both sides by -15, we get:
y = (-270)/(-15) = 18
Substituting the value of y back into Equation 2, we can find x:
x + 18 = 44
x = 44 - 18 = 26
Therefore, Tanya has 26 quarters and 18 dimes.
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cents. Now total value = 830 cents, ie., 10d + 25(44-d) = 830, ie., 1100 -830 = 15d, ie., d = 54/3 = 18. Therefore A has 18 dimes and 26 quarters.