Answer:
B-1
Step-by-step explanation:
Answer:
12 cm
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = 12 cm
<em>c</em> = 17 cm
<u>Step 2: Solve for </u><em><u>b</u></em>
- Substitute in variables [Pythagorean Theorem]: 12² + b² = 17²
- Evaluate exponents: 144 + b² = 289
- [Subtraction Property of Equality] Subtract 144 on both sides: b² = 145
- [Equality Property] Square root both sides: b = √145
- [√Radical] Evaluate: b = 12.0416
- Round: b ≈ 12.0
Amount in compound interest = p(1 + r/t)^nt where p is the initial
deposit, r = rate, t = number of compunding in a period and n = period.
Here,
Amount after 4 years = 500(1 + (2/100)/3)^(4 x 3) = 500(1 +
0.02/3)^12 = 500(1 + 0.0067)^12 = 500(1.0067)^12 = 500(1.083000) =
$541.50
Answer:
A) 8/7
Step-by-step explanation:
y=0
0=-7x+8
-8=-7x
8/7=x
Answer:
y ≤ -8
Step-by-step explanation:
