The answer is (9x^8y^3)/2.
Answer:
1/3x is less than or equal to 15
Step-by-step explanation:
assuming you want an equation?
1/3x is less than or equal to 15
its this sign < with line under (srry i don't have the symbol)
Answer:
1/8
Step-by-step explanation:
Step-by-step explanation:
<u>Given</u>
- f(x) = 4x³ + 3x² - 2x - 1
<u>Divide it by the following:</u>
<u>(a) 2x + 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
- 2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
- (2x + 1)(2x² + 1/2x - 5/4) + 1/4
Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
<u>(b) 2x - 3</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
- (2x -3)(2x² + 4.5x + 5.75) + 16.25
Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
<u>(c) 4x - 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
- (4x - 1)(x² + x - 1/2) - 3/2
Quotient = x² + x - 1/2
Remainder = - 3/2
<u>(d) x + 2</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
- (x + 2)(4x² - 5x + 8) - 17
Quotient = 4x² - 5x + 8
Remainder = - 17
It would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.
<h3 /><h3>Simple interest formula</h3>
Using the simple interest formula A = P(1 + rt) where
- P = princial amount = Birr 500,
- A = final amount = 4P (since it is quadrupled),
- r = rate = 12% = 12/100 = 0.12 and
- t = time to quadruple
<h3 /><h3>Finding the time it takes to quadruple </h3>
Since we require t, making t subject of the formula, we have
t = [(A/P) - 1]/r
Substituting the values of the variables into the equation, we have
t = [(A/P) - 1]/r
t = [(4P/P) - 1]/0.12
t = [4 - 1]/0.12
t = 3/0.12
t = 25 years
So, it would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.
Learn more about simple interest here:
brainly.com/question/25793394
