Answer:
Equation of parabola: 8*(y - 2) = (x - 3)^2
or
y = (1/8)*(x - 3)^2 + 2
Step-by-step explanation:
focus at (3,4) and its directrix y = 0.
Focus equation: (h, k + c) = (3, 4)
Directrix equation y = k - c = 0
so h = 3, k + c = 4, k - c = 0
Solve the system : k + c = 4 and k - c = 0
add the equations together: k + c + k - c = 4 + 0
2k = 4
k = 2
so k + c = 4, 2 + c = 4, c = 2
4c (y - k) = (x - h)^2
4*2 *(y - 2) = (x - 3)^2
8*(y - 2) = (x - 3)^2
I will assume monthly compound interest.
Then:
yearly interest: 12%
monthly interest = (3/12) %
invested money: C
Final money: 2C
n: number of months
Compund interest formula:
Final money = Invested money * (1 + 0.03/12)^n
2C = C * (1.0025)^n
2C/C = (1.0025)^n
2 = (1.0025)^n
n = log(2) / log (1.0025)
n = 277.6 months
Time = 278 months = 23.1 years
Answer:
x - 3 > 10
Step-by-step explanation:
Answer:
it is 1
Step-by-step explanation:
Answer:A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x² = −1. Because no real number satisfies this equation, i is called an imaginary number.
Step-by-step explanation: