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3 years ago

How do I do this please help

Mathematics

1 answer:

Lesechka [4]3 years ago

8 0

Answer:

Step-by-step explanation:

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3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d

pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
$\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}$

Where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

To obtain $4000 after two years, let A = 4000 and t = 2.

Because the account pays 3% interest compounded monthly, r = 0.03 and n = 12.

Substitute and solve for P:

$\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}$

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

$\displaystyle A = Pe^{rt}$

Where e is Euler's number.

Hence, let A = 4000, r = 0.04 and t = 2. Substitute and solve for P:

$\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}$

In conclusion, about $3692.47 should be deposited.

8 0

2 years ago

What is the equation of the parabola?

irina1246 [14]

Because the parabola opens down and the vertex is at (0, 5), we conclude that the correct option is:

y = -(1/8)*x² + 5.

<h3>Which is the equation of the parabola?</h3>

The relevant information is that we have the vertex at (0, 5), and that the parabola opens downwards.

Remember that the parabola only opens downwards if the leading coefficient is negative. Then we can discard the two middle options.

Now, because the parabola has the point (0, 5), we know that when we evaluate the parabola in x = 0, we should get y = 5.

Then the constant term must be 5.

So the correct option is the first one:

y = -(1/8)*x² + 5.

If you want to learn more about parabolas:

brainly.com/question/4061870

#SPJ1

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2 years ago

Will give brainliest

madam [21]

i dont no but can someone help me on this???

Pick one thing about the U.S. Constitution including its amendments that you think should be changed. What modifications that you would make? Explain your reasons for making this change. Please write a 5 paragraph essay that details the changes

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3 years ago

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Find the center and radius of the circle. (x + 3)2 + (y + 4)2 =9

Tpy6a [65]

The general equation for any circle with its center at point (a, b) is

(x - a)² + (y - b)² = (radius)²

So the circle in the question is centered at (-3, -4), and its radius is 3 .

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A _________ is a minute (very small) area of illumination on a display screen. Fill in the blanks!!! Thanks♡

Monica [59]

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A Pixel is a minute area of illumination on a display screen

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