<span>Which of the following equals 140 to nearest 10
A.134
B.145
C.136
D.146</span>
Answer:
A ≈ $500
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Compounded Interest Rate: A = P(1 + r/n)ⁿˣ
- A is final amount
- P is initial (principle) amount
- r is rate
- n is number of compounds
- x is number of years
Step-by-step explanation:
<u>Step 1: Define</u>
P = 230
r = 0.063
n = 365
x = 12
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute: A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾
- Divide: A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾
- Multiply: A = 230(1 + 0.000173)⁴³⁸⁰
- Add: A = 230(1.00017)⁴³⁸⁰
- Exponents: A = 230(2.1296)
- Multiply: A = 489.808
Answer:
The answer is B.)
Step-by-step explanation:
Because, 5 x 2 = 10 and 10 - 3 = 7 .
Answer:
Apples and Peaches
Step-by-step explanation:
It is convenient to compare the prices for 3 lbs of each of the fruits.
Multiply the price and quantity of Apples by 4:
... 4×(3/4 lb) = 4×$1.59
... 3 lb = $6.36 . . . . for apples
Multiply the price and quantity of Plums by 6:
... 6×(0.5 lb) = 6×$1.15
... 3 lb = $6.90 . . . . for plums
The two lowest-priced fruits are apples (6.36/(3 lb)) and peaches (5.37/(3 lb)).
_____
<em>Comment on</em> the best deal
No criteria are provided for determining the best deal. Though plums are higher-priced, they have somewhat higher polyphenol content than apples or peaches, so may provide the best deal in terms of nutrition per dollar.
Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real irrational roots
• If b² - 4ac > 0 and a perfect square then 2 real rational roots
• If b² - 4ac = 0 then 1 real double root
• If b² - 4ac < 0 then 2 complex roots
Given
x² + 3x - 7 = 0 ← in standard form
with a = 1, b = 3, c = - 7 , then
b² - 4ac
= 3² - (4 × 1 × - 7) = 9 + 28 = 37
Since b² - 4ac > 0 then 2 real irrational roots