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Answer:
x(t) = 2000 - e^(-k*t)
Step-by-step explanation:
Interpretation:
No . infected student = x
Total student = 2000
rate of infected students = dx / dt
not-infected student = 200 - x
The general rate at which student are infected can be expressed as below:
dx / dt = k * ( 2000 - x )
To develop an expression of x(t) we integrate the above expression by separating variables:
dx / (2000 - x ) = k * dt
Now integrate:
@ t = 0 , infected students x = 0
Hence,
C = - ln (2000)
Answer:
$559.77
Step-by-step explanation:
Total cost =
We need to find 4.5% of 525.61. This will be state tax.
We need to find 2% of 525.61. This will be city tax.
Converting 4.5% to decimal (4.5 divided by 100) and then multiplying with 525.61 will give us the answer.
State tax =
City tax =
Grand total purchase price is 525.61 + 23.65 + 10.51 = $559.77