Answer:
27
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em>x</em> = -3
<em>y</em> = 3
y - 8x
<u>Step 2: Evaluate</u>
- Substitute in variables: 3 - 8(-3)
- Multiply: 3 + 24
- Add: 27
The interval of interest for your objective function depends on your optimization problem.
Answer:
$12000 at 5%
$27000 at 6.5%.
Step-by-step explanation:
Let x represent amount invested at 5% and y represent amount invested at 6.5%.
We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:

We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, an amount of $12,000 is invested at 5%.
Upon substituting
in equation (1), we will get:



Therefore, an amount of $27,000 is invested at 6.5%.
Answer:
Step-by-step explanation:
Slope of the line
through out the line.
Answer:

Step-by-step explanation:
Given


Required
The volume of the sphere
This is calculated as:

So, we have:


This gives:

