Answer:
x=0 or x=4
Step-by-step explanation:
5x(x−4)=0
Answer:
p=2982
Step-by-step explanation:
Rate of interest = 6 % p.a
No of year = 12
P.V = $ 25000
Installments (p) = ?
We know the formula of P.V annuity
P.V = P[ 1-(1+r)-n/r]
25000 = P[1-(1+0.06)-12/0.06]
P = 2982 will withdraw annuity
Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
The answer is 0.3. To find this answer, <span>1/2 / 3/5 = <span>56</span> ≅ 0.8333333</span>
