Answer:
$426
Step-by-step explanation:
According to the question,
New car cost = $20,448
Time to repay = 4 years or 48 months
So, we can calculate the monthly car payment by using following formula,
Monthly car payment = New car cost ÷ Time to repay
By putting the value, we get
Monthly car payment = $20,448 ÷ 48
= $426
Hence, Alex monthly car payment is $426.
Answer:
Minimum: 14 Maximum: 87.5 Lower Quartile: 34 Upper Quartile: 65 Median: 47.5
Step-by-step explanation:
At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 95 miles per hour. Suppose that the statistician indicated that the serve speed distribution was skewed to the left. Which of the following values is most likely the value of the median serve speed? Explain your answer.
C) 77 mph

Carry out the binomial expansion in the numerator:

Then the 9⁴ terms cancel each other, so in the limit we have

Since <em>h</em> is approaching 0, that means <em>h</em> ≠ 0, so we can cancel the common factor of <em>h</em> in both numerator and denominator:

Then when <em>h</em> converges to 0, each remaining term containing <em>h</em> goes to 0, leaving you with

or choice C.
Alternatively, you can recognize the given limit as the derivative of <em>f(x)</em> at <em>x</em> = 9:

We have <em>f(x)</em> = <em>x</em> ⁴, so <em>f '(x)</em> = 4<em>x</em> ³, and evaluating this at <em>x</em> = 9 gives the same result, 2916.
Answer:
18x^2+6
Step-by-step explanation:
2(9x^2+3)
multiply each term in parentheses by 2
2 x 9x^2+2 x 3
calculate product
18x^2+2 x 3
multiply numbers
18x^2+6