Answer: 3.66 cm
Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.
The area A of a rectangle is length multiply by width.
Where length L = 3.5 cm and
width W = 3 cm
Area A = 3.5 × 3 = 10.5 cm^2
The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.
But area A = 10.5. Substitute the values for the area of the cylinder
10.5 = πr^2
10.5 = 3.143 × r^2
Make r^2 the subject of formula
r^2 = 10.5/3.143
r = sqrt ( 3.34225 )
r = 1.828
Diameter = 2 × radius
Diameter = 2 × 1.829
Diameter = 3.656 cm
Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.
The present value of an annuity is given by

where: PV is the current value of the annuity, P is the periodic payment, r is the apr, t is the number of compounding in one year and n is the number of years.
Thus, given that PV = $51,800; r = 7.8% = 0.078; t = 12; n = 4.

Therefore, the <span>monthly payment is $1,259.73</span>
Answer:
f(-2) = 54
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x(x² + 4x - 5)
f(-2) is x = -2
<u>Step 2: Evaluate</u>
- Substitute in <em>x </em>[Function]: f(-2) = 3(-2)[(-2)² + 4(-2) - 5]
- [Brackets] Evaluate exponents: f(-2) = 3(-2)[4 + 4(-2) - 5]
- [Brackets] Multiply: f(-2) = 3(-2)[4 - 8 - 5]
- [Brackets] Subtract: f(-2) = 3(-2)[-4 - 5]
- [Brackets] Subtract: f(-2) = 3(-2)(-9)
- Multiply: f(-2) = -6(-9)
- Multiply: f(-2) = 54
Answer:
$5,362.50
Step-by-step explanation:
3.25% = 0.0325
165000 x 0.0325 = 5,362.50 dollars