A TV that usually sells for $185.47 is on sale for 20% off. If sales tax on the TV is 5%, what is the price of the TV, including
1 answer:
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Function: (maximum number of packages: 160)
Step-by-step explanation:
In this problem, we have:
is the capacity of the truck (the amount of mass that can be stored in the truck)
p = 50 kg is the mass of each package that need to be stored in the truck
We can find the number of packages that can be transported as follows: calling this number x, the total mass of x packages is
This amount should be at most equal to the capacity of the truck, therefore:
And substituting the numbers,
And solving the equation, we can found the number of packages that can fit into the truck:
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Answer:
This is the same as writing 7*Ln( e^(2x) + 10) + C
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Explanation:
Start with the equation
Apply the derivative and multiply both sides by 7 like so
The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)
This way we can do the following substitutions:
Integrating leads to
Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.
To verify the answer, you can apply the derivative to it and you should get back to the original integrand of