Answer:
The kind of food given to the dog.
Step-by-step explanation:
The independent variable is the factor being tested in the experiment. Hence, we observe that Pablo and Johanna provide different dog foods to monitor which diet promotes faster growth. The rate of growth is the dependent variable, as it is the variable being measured.
Detailed derivation:
dA/dt = 6 - 0.02A
dA/dt = -0.02 (A - 300)
Rearranging terms.
dA / (A - 300) = -0.02 dt
Integrate both sides.
ln(A - 300) = -0.02t + C
Isolate A.
A - 300 = Ce^(-0.02t)
A = 300 + Ce^(-0.02t)
Apply initial condition to determine C.
50 = 300 + Ce^(-0.02 × 10)
50 = 300 + Ce^(-0.2)
-250 = Ce^(-0.2)
C = -250e^(0.2)
A = 300 - 250e^(0.2)e^(-0.02t)
A = 300 - 250e^(0.2 - 0.02t)
Answer:
At least 315
Step-by-step explanation:
A journalist intends to find the average annual salary of CEOs within the S&P 1,500. Due to time constraints, a sample is used.
Standard deviation of the sample (s) = 449300
Sample size = n
Permissible margin of error = 50000
Z critical value = 1.96
Thus, 1.96 times the standard error equals 50000.
Standard error equals 25510.20
Standard deviation divided by the square root of n = 25510.20
By simplifying, we can derive:

Thus, the minimum sample size required is 315.
The initial value stands at 20,300, decreasing annually by 9.5%.
Given that it decreases by 9.5% each year based on the preceding amount, we can apply an exponential decay model.
A 9.5% reduction means multiplying by 91.5% every year.
We express this mathematically. Plugging in 11 years for t yields.
$7,671.18