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2 years ago

If you spend $50,000 on new furniture and it is depreciating about 20% per year, how much will it be worth by its third year?

Mathematics

1 answer:

Julli [10]2 years ago

8 0

Answer:

$25,600

Step-by-step explanation:

Given: P = $50,000, r = 20% & t = 3 years

Formula for depreciation is given as:

$A(t) = P\bigg(1-\frac{r}{100}\bigg)^t$

Plugging the values of P, r and t in the above formula, we find:

$A(3) = 50,000\bigg(1-\frac{20}{100}\bigg)^3$

$\implies A(3) = 50,000\bigg(1-\frac{1}{5}\bigg)^3$

$\implies A(3) = 50,000\bigg(\frac{4}{5}\bigg)^3$

$\implies A(3) = 50,000\times\frac{64}{125}$

$\implies A(3) =\$ 25,600$

So, after third year it will be worth by $25,600.

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8 people eat at Charlie Brown's for Thanksgiving. How many different seating

never [62]

Answer: 40,320

Step-by-step explanation: Let's say that there is person A,B,C,D,E,F,G,H. and 8 chairs. For the first chair, 8 different people could potentially sit in it, making 8 different possibilities. No matter who sits there, the logic follows the next table. However, since one person is sitting in the first chair, there are 7 different possibilities about who would be sitting in the second chair. If you multiply the two together, there are 56 different possibilities just for the first and second chair. For the third chair, there are 6 different possibilities about whom could sit. Multiply 56*6 and you get 336 possibilities. Keep multiplying out and you get a grand total of 40,320 different arrangements!

4 0

3 years ago

Read 2 more answers

In the previous part, we obtained dy dx = 3t2 − 27 −2t . Next, find the points where the tangent to the curve is horizontal. (En

mina [271]

Answer:

(27.55, 7.22), (-11.3, 3.21).

Step-by-step explanation:

When is the tangent to the curve horizontal?

The tangent curve is horizontal when the derivative is zero.

The derivative is:

$\frac{dy}{dx} = 3t^{2} - 2t - 27$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$3t^{2} - 2t - 27 = 0$

$a = 3, b = -2, c = -27$

Then

$\bigtriangleup = b^{2} - 4ac = (-2)^{2} - 4*3*(-27) = 328$

$t_{1} = \frac{-(-2) + \sqrt{328}}{2*3} = 3.35$

$t_{2} = \frac{-(-2) - \sqrt{328}}{2*3} = -2.685$

Enter your answers as a comma-separated list of ordered pairs.

We found values of t, now we have to replace in the equations for x and y.

t = 3.35

$x = t^{3} - 3t = (3.35)^{3} - 3*3.35 = 27.55$

$y = t^{2} - 4 = (3.35)^2 - 4 = 7.22$

The first point is (27.55, 7.22)

t = -2.685

$x = t^{3} - 3t = (-2.685)^3 - 3*(-2.685) = -11.3$

$y = t^{2} - 4 = (-2.685)^2 - 4 = 3.21$

The second point is (-11.3, 3.21).

8 0

3 years ago

Can you please answer this

notka56 [123]

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4 0

3 years ago

Read 2 more answers

HELP ME I NEED YOUR HELP PLEASE

aniked [119]

Answer:

Step-by-step explanation:

i know im correct

6 0

3 years ago

Select all expression that are equivalent to 64 2/3.

pav-90 [236]