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3 years ago

Amy invests $50,000 into an account eating 3% interest compounded monthly. How much will be accrued after 20 years?

Mathematics

1 answer:

Colt1911 [192]3 years ago

5 0

I used a compound interest calculator and came up with the answer being $91,037.75

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one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola

omeli [17]

Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

$x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1$ .

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

$x_1 + x_2 = \frac{-b}{a}$

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

$x_1 \cdot x_2 = \frac{c}{a}$

These relations between the solutions give us a brief idea of what the solutions should be like.

6 0

3 years ago

F (x) = 3x + 7 <br> F (-4) = <br> F (2) =

V125BC [204]

Answer:

f(-4)=3(-4)+7=0

f(2)=3(2)+7=13

3 0

3 years ago

Read 2 more answers

What are the hypotheses for testing to see if a correlation is statistically significant?

Andrew [12]

Answer:

Step-by-step explanation:

For testing of significance of correlation coefficient denoted by r, we create hypotheses in three ways

They are one tailed, two tailed. One tailed can be stated as right tailed and also left tailed.

The null hypothesis would normally be as r=0

Verbally we can say this there is no association between the dependent and independent variable (linear)

Against this alternate hypothesis is created as

either r not equal to 0

or r>0 or r<0

If r not equal to 0, we say two tailed hypothesis test

If r>0 is alternate hypothesis, it is right tailed test

If r<0 is alternate hypothesis, then it is left tailed test.

8 0

3 years ago

Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?

algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.

Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.

Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.

So, the coordinates of the endpoint are $T = (5,-13)$