Answer:
Step-by-step explanation:
We assume you want your model to be ...
p = c·e^(kt)
Filling in (t, p) values of (3, 484) and (5, 1135), we have two equations in the two unknowns:
484 = c·e^(3k)
1135 = c·e^(5k)
Taking logs makes these linear equations:
ln(484) = ln(c) +3k
ln(1135) = ln(c) +5k
Subtracting the first equation from the second, we have ...
ln(1135) -ln(484) = 2k
k = ln(1135/484)/2 ≈ 0.42615
Using that value in the first equation, we find ...
ln(484) = ln(c) +3(ln(1135/484)/2)
ln(c) = ln(484) -(3/2)ln(1135/484)
c = e^(ln(484) -(3/2)ln(1135/484)) ≈ 134.8
The initial number in the culture was 135, and the k-value is about 0.42615.
_____
I prefer to start with the model ...
p = 484·(1135/484)^((t-3)/2)
Then the initial value is that obtained when t=0:
c = 484·(1135/484)^(-3/2) = 134.778 ≈ 135
The value of k the log of the base for exponent t. It is ...
ln((1135/484)^(1/2)) = 0.426152
This starting model matches the given numbers exactly. The transformation to c·e^(kt) requires approximations that make it difficult to match the given numbers.
__
For this model, the base of the exponent is the ratio of the two given population values. The exponent is horizontally offset by the number of days for the first count, and scaled by the number of days between counts. The multiplier of the exponential term is the first count. The model can be written directly from the given data, with no computation required.
Answer:
a.
b.
c.
Step-by-step explanation:
In a, the -1 means inverse of f(x). To find the inverse, you rewrite the equation in terms of x and y. You replace the x with y and y with x. Then you solve for y.
In b, all you have to do is plug in -9 into f(x).
In c, you plug in -9 into inverse function f.
Q2) x^2-16x+64=144
3Q) x^2-2x+1=81
Answer:
Q2 :) hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
PQ*PQ=PQ²=(5x+16)²=25x²+160x+256
The daily average dollar amount of transactions where there are 2.5 trillion in credit card transactions annually is 6.8 billion.
Given data:
To calculate the daily average dollar amount of transactions, we'll divide the annual total by the number of days in a year.
Annual credit card transactions: $2.5 trillion
Number of days in a year: 365
Daily average dollar amount of transactions = Annual transactions / Number of days
= $2.5 trillion / 365
Now let's perform the calculation:
Daily average dollar amount = $2.5 trillion / 365
On simplifying the equation:
Daily average dollar amount ≈ $6.849 billion
Rounded to the nearest hundred million dollars, the daily average dollar amount of credit card transactions is approximately $6.8 billion.
Hence, the daily average dollar amount of credit card transactions is approximately $6.8 billion.
To learn more about equations, refer:
#SPJ3
Answer:
3 trillion
Step-by-step explanation:
because just do the math bu bl I really dk
Answer:
look below for question
Step-by-step explanation:
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
Only values that satisfy y > 3x + 1 are solutions.
Only values that satisfy y < 3x – 3 are solutions.
Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
There are no solutions.