Answer:
The below graph represents this scenario.
Step-by-step explanation:
Given,
The deposited amount, P = $ 21,
Annual interest rate, r = 2.4 % = 0.024,
Thus, the simple interest after x years,
If x-axis shows the number of years and y axis represents the simple interest after x years,
So, y = 0.0504x is a line passes through the origin which will show the given scenario,
( shown below )
Also, x ≥ 0 ( number of years can not be negative )
The table models an exponential relationship, and the equation of the table is
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
When x = 0 and y = 4, we have
Evaluate
a = 4
When x = 1 and y = 2, we have
Evaluate
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in
Hence, the equation of the table is
Read more about exponential models at:
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Answer:
Step-by-step explanation:
The marginal cost function, C'(x), is the derivate of the cost function, C(x).
Therefore, we can obtain the cost function by finding the integral of the marginal cost function:
Where 'a' is a constant and represents fixed costs. If fixed costs are $3,000, the cost function is: