Answer:
15%
Step-by-step explanation:
Given,
Original price = $55.00
Discounted price = $46.75
Discount = $55.00 - $46.75 = $8.25
Percent Discount = (Discount / Original price) x 100%
= (8.25 / 55.00) x 100%
= 0.15 x 100%
= 15%
Therefore, f(x) = 2x + 3 is your derivative function, and you need to find the original curve. So find the antiderivative using the given conditions...
∫f(x) = ∫2x + 3 dx
F(x) = x^2 + 3x + C
2 = (1)^2 + 3(1) + C
2 = 4 + C
C= -2
Therefore, the curve is F(x) = x^2 + 3x - 2
Proof: The derivative is the slope at every (x, y) point. The derivative of F(x) comes out to be 2x + 3, so we have found the curve. Plug in x = 1, and y = 2, so the conditions have been met.
<span>Hope I helped.</span>
If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.
<h3>How to calculate the volume of a pyramid.</h3>
Mathematically, the volume of a pyramid is given by the formula:
<u>For the </u><u>base area</u><u>:</u>
The area of a right triangle is given by:
A = 54 square units.
<u>Given the following data:</u>
Volume of a pyramid = 234 units.
Side lengths of right triangle = 9 and 12 units.
Now, we can calculate the height of the pyramid:
h = 13 units.
Read more on pyramid here: brainly.com/question/16315790
<span><span><span><span>(<span>15^2</span>)</span><span>(<span>y^2</span>)</span></span>−<span>x^3</span></span>+7</span><span>=<span><span><span><span>225<span>y^2</span></span>+</span>−<span>x^3</span></span>+7</span></span>
<span>=<span><span><span>−<span>x^3</span></span>+<span>225<span>y^2</span></span></span>+<span>7</span></span></span>
Sale Price = $71.25 (answer). This means the cost of the item to you is $71.25. You will pay $71.25 for a item with original price of $95 when discounted 25%. In this example, if you buy an item at $95 with 25% discount, you will pay 95 - 23.75 = 71.25 dollars.