Patrick and Brooklyn are making decisions about their bank accounts. Patrick wants to deposit $300 as a principle amount, with a
2 answers:
For this we will use formula that is letting us to input: interest rate, starting funds, how often intereset rate is implemented, period we are observing. Formula looks like this:
where M is money, S is starting funds, "i" is interest rate, cp is compounding period and y is number of years. now we express and calculated for both of them and get
M = 318,479 for Patricks investement.
M = 331,482 for Brooklyn.
Which means Brooklyn's method will pay of more.
where M is money, S is starting funds, "i" is interest rate, cp is compounding period and y is number of years. now we express and calculated for both of them and get
M = 318,479 for Patricks investement.
M = 331,482 for Brooklyn.
Which means Brooklyn's method will pay of more.
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For this case we have a function of the form:
Where,
A: initial amount
b: growth rate (for b> 1)
x: independent variable
y: dependent variable
We then have the following function:
Using the definition, the following statements are correct:
1) The function is exponential
2) The function increases by a factor of 2.5 for each unit increase in x
3) The domain of the function is all real numbers
Where,
A: initial amount
b: growth rate (for b> 1)
x: independent variable
y: dependent variable
We then have the following function:
Using the definition, the following statements are correct:
1) The function is exponential
2) The function increases by a factor of 2.5 for each unit increase in x
3) The domain of the function is all real numbers
Answer:
a)
b)
c) the steady state mass of the drug is 2000 mg
d) t ≅ 153.51 minutes
Step-by-step explanation:
From the given information;
At time t= 0
an intravenous line is inserted into a vein (into the tank) that carries a drug solution with a concentration of 500
The inflow rate is 0.06 L/min.
Assume the drug is quickly mixed thoroughly in the blood and that the volume of blood remains constant.
The objective of the question is to calculate the following :
a) Write an initial value problem that models the mass of the drug in the blood for t ≥ 0.
From above information given :
Therefore;
with respect to x(0) = 0
b) Solve the initial value problem and graph both the mass of the drug and the concentration of the drug.
By Using Integration Method:
However; if x(0) = 0 ;
Then
C = -2000
Therefore
c) What is the steady-state mass of the drug in the blood?
the steady-state mass of the drug in the blood when t = infinity
x = 2000 - 0
x = 2000
Thus; the steady state mass of the drug is 2000 mg
d) After how many minutes does the drug mass reach 90% of its stead-state level?
After 90% of its steady state level; the mas of the drug is 90% × 2000
= 0.9 × 2000
= 1800
Hence;
t = 153.5056729
t ≅ 153.51 minutes