83/12 = 6 remainder 11 = 6ft. 11in.
Answer:
1) A profit of Rs 250 is made.
3) 11 marks
3) 14/15 kg
4) 15/28
Step-by-step explanation:
1) A profit of Rs.10 per bag of oranges and a loss of Rs.5 per bag of grapes sold. The total profit/loss from selling 200 bags of oranges and 350 bags of grapes is:
total profit/loss = 200 (10) - 5(350) = 2000 - 1750 = Rs 250
A profit of Rs 250 is made.
2) (+5) marks are given for every correct answer and (-3) marks are given for every incorrect answer and 0 for answer not attempted. If he answer 4 correct and 3 incorrect out of 7 questions. His score is:
Score = 5(4) - 3(3) = 20 - 9 = 11 marks
His score is 11 marks
3) An object weighs 28/5 kg on earth. Since its weight on moon is 1/6 its weight on Earth.
The weight on moon = 1/6 × 28/5 = 14/15 kg
4) 3/4 of 5/7 = 15/28
The volume of a hemisphere is 2/3 pi R^3.
1) 2/3 x 3.14 x 10^3
2)2/3 x 3.14 x 1000
3)2/3 x 3140
4) 2093.3
Answer:
A) Gradient = -3
B) 3y - x = 7
Step-by-step explanation:
The curve has the equation;
y = x³ - 6x² + 9x + 1
We are given the pints it passes through as;
A(2,3) and P(3, 1)
A) to find the gradient, we will find the derivative of the given equation.
Thus;
Gradient = y' = 3x² - 12x + 9
At point A, x = 2. Thus;
Gradient = 3(2²) - 12(2) + 9
Gradient = 12 - 24 + 9
Gradient = -3
B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3
Thus, equation of the normal to the curve at point A will be;
(y - 3) = ⅓(x - 2)
Multiply both sides by 3 to get;
3y - 9 = x - 2
3y - x = 9 - 2
3y - x = 7
Principal, P = 2400
interest rate, i = 4% (=0.04)
number of years, n=4
Simple interest,
I = Pin
=2400*0.04*4
=$384 after 4 years.
