Interest = Principal × Rate × Time
= 250,000 × 0.12 × 4
= 250,000 × 0.48
= 120,000
Let's simplify the equation:
(-16k) + (-k) - 15k - (-11k) - (-17k) = 1
Combine like terms:
-16k - k - 15k + 11k + 17k = 1
-4k = 1
Divide by -4:
k = -1/4
The fare for 18 kg over 12 km is calculated as follows:
Fare per kg per km = 24 / (12 × 36) = 1/18
For 18 kg over 12 km:
Fare = 18 × 12 × (1/18) = 12 rupees
Given the area of the rectangle:
x² - 5x + 6
Let's factorize the quadratic expression:
x² - 5x + 6 = x² - 3x - 2x + 6
= x(x - 3) - 2(x - 3)
= (x - 3)(x - 2)
The transitive property states that if a < b and b < c, then a < c.
This property shows how inequality (or equality) carries over through a middle term.
Weight of 1 apple = 2 kg ÷ 4 = 0.5 kg
Weight of 10 apples = 0.5 kg × 10 = 5 kg
The perimeter of a rectangle is given by:
P = 2(length + breadth)
Given:
P = 28 cm
Breadth = 6 cm
28 = 2(length + 6)
14 = length + 6
length = 8 cm
Total parts = 2 + 3 + 5 = 10
Salma's share = (2/10) × 2000 = 400.
Any non-zero number raised to the power of 0 equals 1.
So, 10⁰ = 1.
The set-builder form A = {x | x ∈ ℤ ∧ x² = 25} means x is an integer whose square is 25.
The integers satisfying this are x = -5 and x = 5, so A = {-5, 5}.
