Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.
1 answer:
Answer:
Step-by-step explanation:
The directrix intersects the x-axis at point (2,0). Points (-2,0) and (2,0) are symmetric about the origin, so the vertex of the parabola is placed at the origin (0,0).
The parameter p of the parabola is the distance from the focus to the directrix, thus p=4.
The branches of the parabola go in negative direction of x-axis, because the focus lies to the left from the vertex.
The equation of the parabola is
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Answer:
The value of the acount after t years is of
The annual growth rate is of 0.72%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$650 is invested in an account earning 8.6% interest (APR), compounded monthly.
This means that . So
The value of the acount after t years is of
Annual growth rate
1.0072 - 1 = 0.0072 = 0.72%
The annual growth rate is of 0.72%.