MATHEMATICS HIGH SCHOOL

Myron put $5000 in a 2-year CD paying 3% interest, compounded monthly. After 2 years, he withdrew all his money. What was the amount of the withdrawal?

Answers

Answer 1

Answer:

Answer:

$5308.79

Step-by-step explanation:

The future value can be computed from ...

FV = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual interest rate, n is the number of times per year it is compounded, and t is the number of years.

You have P = $5000, r = 0.03, n = 12 (months per year), t = 2.

Filling in the given numbers, we have ...

FV = $5000(1 +.03/12)^(12·2) ≈ $5000(1.0617570) ≈ $5308.79

The amount of the withdrawal will be $5308.79.

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Martha is covering kitchen shelves with shelving paper. She has 6 shelves that are each 1 3 4 feet long. She buys 13 1 4 feet of shelving paper of the correct width. Which equation can be used to determine how much paper she will have left over?

Answers

its 1314 divided by 6.

Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6.

Answers

4x^2-32x+48
__________
3x^2-17x-6
⬇
4(x^2-8x+12)
__________
3x^2-17x-6

Answer:

$(4(x-2))/(3x+1)$

Step-by-step explanation:

i got it right on the test but I don't know the steps of solving it sorry

What is the equation of a parabola whose vertex is at the origin and whose directrix is y = 3?

Answers

The equation of a parabola whose vertex is at the origin and whose directrix is y = 3 will be y = 12x².

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the point (h, k) is the vertex of the parabola and a is the focus.

Then the equation of the parabola will be given as,

y = 4a(x - h)² + k

The vertex of the parabola is at the origin, then the equation of the parabola will be

y = 4a(x - 0)² + 0

y = 4ax²

We know that the distance between the directrix - graph and focus graph is the same.

Then the value of focus will be 3.

Then the equation of the parabola will be

y = 4 × 3 × x²

y = 12x²

The equation of a parabola whose vertex is at the origin and whose directrix is y = 3 will be y = 12x².