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
$400 - $20 = $380 ( The original charge subtract the amount he paid. )
$380 + $18 = $398 (The amount unpaid plus another charge equal total amount unpaid.)
$398 x 0.02 = $7.96 (The amount unpaid multiply the percentage of interest = amount of interest.)
Phillip charged $7.96 interest on his second bill.
Answer: -4
Step-by-step explanation:
Multiply 
A 170 pound astronaut would weigh 68 pounds on mars.
Hope this helps :)
