The total (after-tax) cost of a laptop computer is $1578.06. The local sales tax rate is 5.5%. What is the retail (pre-tax) pric
2 answers:
Answer: The required retail price before tax is $1495.79.
Step-by-step explanation: Given that the total cost of a laptop, after tax is $1578.06 and the local sales tax rate is 5.5%.
We are to find the retail price, price before tax.
The retail price will be equal to the total price after tax minus the sales tax price.
Let the retail price be $x
Then, according to the given information, we have
Thus, the required retail price before tax is $1495.79.
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Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by , where
is the height in feet and
, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:
Then, we simplify the expression by algebraic means:
Roots of the polynomial are, respectively:
First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.
Answer:
The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:
Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:
Given:
*Use the <em>t</em>-table for the critical value.
Compute the 99% confidence interval as follows:
Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).