Answer:

Step-by-step explanation:
The function <em>F(x)</em> is an antiderivative of the function <em>f(x)</em> on an interval <em>I</em> if
<em>F′(x)</em> = <em>f(x)</em> for all <em>x </em>in <em>I</em>.
The function <em>F(x) + C</em> is the General Antiderivative of the function <em>f(x)</em> on an interval <em>I</em> if <em>F′(x) = f(x)</em> for all <em>x</em> in <em>I </em>and <em>C</em> is an arbitrary constant.
The Indefinite Integral of <em>f(x)</em> is the General Antiderivative of <em>f(x)</em>.

To find the first antiderivative you must integrate the function 

To find the second antiderivative you must integrate the function 

Therefore,

The answer is D. They sold 22 cakes
Answer:
Step-by-step explanation:
A)
This is the 30% discount:
$39.99 x .30 = $11.997; The discount is $11.997
Price of headphones after the discount:
$39.99 - $11.997 = $27.99
Now we need to calculate the 6% sales tax on the discounted price.
$27.99 x .06 = $1.68 (rounded off)
Dalton paid $1.68 in sales tax on the discounted price.
B)
The total price Dalton paid for the headphones will be the discounted price plus the sales tax.
$27.99 + $1.68 = $29.67
Total price Dalton paid: $29.67