What is the average rate of change of the function f(x) = 5x ^ 2 + 20x between x = 0 and x = 0.5
1 answer:
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Answer:
22.5
Step-by-step explanation:
The average rate of change on the interval [a, b] is the ratio ...
(f(b) -f(x))/(b -a)
For your function and interval, it is ...
(f(0.5) -f(0))/(0.5 -0)
Since f(0) = 0, this reduces to ...
average rate of change = 2·f(0.5) = 2(5(0.5)² +20(0.5)) = 2(5/4 +10)
average rate of change = 22.5
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Kate paid $25.39 for her purchases.
Kate will receive $24.61 in change.
Step-by-step explanation:
Given,
Cost of t-shirt = $12.95
Cost of pair of shorts = $10.95
Total = cost of t-shirt + cost of pair of shorts
Total = 12.95 + 10.95 = $23.90
Sales tax = 6.25% of total amount
Amount of sales tax =
Amount of sales tax= $1.49
Total amount with sales tax = 23.90 + 1.49 = $25.39
Kate paid $25.39 for her purchases.
Amount paid = $50
Change received = Amount paid - Bill amount
Change received = 50 - 25.39 = $24.61
Kate will receive $24.61 in change.
Keywords: sales tax, addition
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