For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
<span> The Pythagorean theorem</span>
If you didn't change the slope of the line, but you moved it
down 6 units on the graph, then its y-intercept would become
6 less. The equation of the new line would be ...
y = 1/3 x - 16 .
Hello!
10% off means there's a discount on the jacket, so we will be finding how much the discount is worth and then we'll subtract that from the original cost of the jacket.
Sales tax is basically additional money added to the cost of an item, so we will find what the sales tax is on this and then add that to the cost.
59.27 * 10% = 5.927
59.27 - 5.927 = 53.343
Now, find and add the sales tax.
53.343 * 7% = 3.73401
53.343 + 3.73401 = 57.07701
Round this to 57.1
The total cost of the jacket is $57.1.
Answer:
72.9
Step-by-step explanation:
10% off 75 gets you to 67.5
8% more than 67.5 is 72.9
