Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Cross-multiply:

- Distribute:

- Isolate <em>x</em> terms:

- Isolate <em>x</em> term:

- Isolate <em>x</em>:

- Rewrite:

Answer:
She is given $205 and spends $57.
She earns $580 and spends $422.
She is given $38 and earns $42.
She earns $56 and is given $59.
Step-by-step explanation:
You just have to do the math.
We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

Where:

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

Now we substitute the values:

Now we solve the operations, we get:

Therefore, the present value must be $39462.50
Answer:
Statement 2: ∠BAC = ∠CZY
Reason 3: Vertically opposite angles
Statement 4: YC = CB
Reason 5: AAS (Angle, Angle, Side)
Reason 6: Corresponding sides, congruent triangles