Answer:
let he invest x part of earning at the rate of 8%
simple interest = P*T*R/100 = x*1*8/100 = 0.08x
His invest at the rate of 7.5% = 3050 - x
Again simple interest = P*T*R/100 = (3050 - x)*1*7.5/100 = 228.75 - 0.075x
N0w acc0rding to question
0.08x + 228.75 - 0.075x = 242
0.005x= 13.25
x = 2650
rehman invest 2650 at 8% per year
He invest (3050-2650) = 400 0n 7.5% per year
Step-by-step explanation:
The inequality is: x*0.75 + 3.00 < 20.00, where x represents the number of miles. When you solve the inequality, you get 22.66 miles. When you round up to 23 miles, you don't satisfy the inequality, so you have to round down to 22 miles.
Answer: (C) 22 miles
Step-by-step explanation:
y=a(x-h)+k
=6(-2-2)²+2
=6(16)+2
=98
Answer:
76
2 real solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
- Positive - 2 solutions
- Equal to 0 - 1 solution
- Negative - No solutions/Imaginary
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 6x - 10 = 0
<u>Step 2: Identify Variables</u>
<em>Compare quadratic.</em>
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
<u>Step 3: Find Discriminant</u>
- Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)
- [Discriminant] Evaluate exponents: 36 - 4(1)(-10)
- [Discriminant] Multiply: 36 + 40
- [Discriminant] Add: 76
This tells us that our quadratic has 2 real solutions.
Answer:
B. Pentagonal prism with two pentagons and five rectangles
Step-by-step explanation:
if we use the other shapes the 3-D figure will be incomplete.
Hope I am correct and it helps! ;) <3