Given:
Face Value $15,000
Discount rate 6.5%
Term 70 days
Discount for a simple discount note:
Discount = Maturity Value * Discount Rate * Term of Note
Discount = 15,000 * 0.065 * 70/360
Discount = 189.58
Proceeds from Simple Discount note:
Proceeds = Maturity Value - Discount
Proceeds = 15,000 - 189.58
Proceeds = 14,810.42
The proceeds for the simple discount note is $14,810.42. Choice C.
Answer:
See explanation
Step-by-step explanation:
Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).
Find the slopes of all sides:
- horizontal line
- slope undefined, so the line is vertical
- horizontal line
- slope undefined, so the line is vertical
Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle
Answer: 
Step-by-step explanation:
Given
Curve is 
boundary is y=0 i.e.

The volume of solid generated when rotated about the x-axis is

Putting values we get
![\Rightarrow V=\int_{-1}^{1}\pi (3-3x^2)^2dx\\\\\Rightarrow V=\int_{-1}^{1}\pi(9+9x^4-18x^2)dx\\\\\Rightarrow V=\pi \left [ \frac{9x^5}{5} - 6 x^3 + 9 x\right ]_{-1}^{1}\\\\\Rightarrow V=9.6\pi](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D%5Cint_%7B-1%7D%5E%7B1%7D%5Cpi%20%283-3x%5E2%29%5E2dx%5C%5C%5C%5C%5CRightarrow%20V%3D%5Cint_%7B-1%7D%5E%7B1%7D%5Cpi%289%2B9x%5E4-18x%5E2%29dx%5C%5C%5C%5C%5CRightarrow%20V%3D%5Cpi%20%5Cleft%20%5B%20%20%5Cfrac%7B9x%5E5%7D%7B5%7D%20-%206%20x%5E3%20%2B%209%20x%5Cright%20%5D_%7B-1%7D%5E%7B1%7D%5C%5C%5C%5C%5CRightarrow%20V%3D9.6%5Cpi)
Answer:
<h2>118</h2>
Step-by-step explanation:118
8 minus 3 equals 5
Negative 1 minus 9 is negative 10
5 times negative 10 is <u>negative 50.</u>