Regardless of how the sphere<span> is cut, it will form a circle</span>
Answer:
$11,130.47
Step-by-step explanation:
The amortization formula can be used. It tells you the monthly payment amount A for some principal P, interest rate r, and n payments.
A = P(r/12)/(1 -(1 +r/12)^(-n))
Filling in your values, we get ...
200 = P(.03/12)/(1 -(1 +.03/12)^-60) = P(.0025)/(1 -1.0025^-60)
P = 200(1 -1.0025^-60)/.0025 ≈ 200×55.6523577
P ≈ 11,130.47
The present value of the loan is $11,130.47.
Answer:
8x³ + 12x² - 16x - 16
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distributive Property
Step-by-step explanation:
<u>Step 1: Define expression</u>
(4x² - 2x - 4)(2x + 4)
<u>Step 2: Simplify</u>
- Expand: 8x³ - 4x² - 8x + 16x² - 8x - 16
- Combine like terms (x²): 8x³ + 12x² - 8x - 8x - 16
- Combine like terms (x): 8x³ + 12x² - 16x - 16
Slope = -1/4
y-interept = 8
⇒equation: y = -1/4x + 8
x-intercept ⇒ when y = 0
0 = -1/4x + 8
1/4x = 8
x = 8 x 4
x = 32
Answer: x-intercept = (32,0)
Answer:
The area of the triangle is 
Step-by-step explanation:
Given:
Coordinates D (0, 0), E (1, 1)
Angle ∠DEF = 60°
△DEF is a Right triangle
To Find:
The area of the triangle
Solution:
The area of the triangle is = 
Here the base is Distance between D and E
calculation the distance using the distance formula, we get
DE = 
DE =
DE = 
DE = 
Base =
Height is DF
DF =
DF = 
DF = 
Now, the area of the triangle is
= 
=
=
=
