Answer:
D. $16.42
Step-by-step explanation:
In order to find the sales tax of a product, you need to multiply the product's price by the sales tax in decimal form.
To find the decimal form of a percentage, you simply move the decimal paint two spaces to the left. So, 8.25% in decimal form is 0.0825.
199.99 * 0.0825 = 16.499175
This number is closest to $16.42, so D is the correct answer.
If you're just integrating a vector-valued function, you just integrate each component:


The first integral is trivial since
.
The second can be done by substituting
:

The third can be found by integrating by parts:



To graph y=-7x-3, you're going to make your first coordinate at (-3,0) b/c that is your y-intercept and you will continuously move down 7 and right one.
To graph y=4, you will simply make a horizontal line through the to coordinate (4,0).
Hope that helped.
Answer: -7/5
Step-by-step explanation:
-4(1/5)⋅(1/3)
Convert -4(1/5) to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
− (4 +1/5) ⋅(1/3)
Add 4 and 1/5
-21/5 ⋅ 1/3
Cancel the common factor of 3.
Move the leading negative in − 21
/5 into the numerator.
−21/5 ⋅ 1/3
Factor 3 out of −21.
3 (−7)/5 ⋅ 3
/1
Cancel the common factor.
Rewrite the expression.
−7
/5
Volume of the pyramid = (1/3) x Area of the base x
Height ---------- (1)
As the base length = 5 feet
So Area of the base = 5 x 5 = 25 square feet
While volume of the pyramid = 75 cubic feet
Putting values in equation (1);
75 = (1/3) x 25 x Height
Height = (75 x 3) / 25
Height = 9feet
<span>So 2nd option is correct.</span>