Can someone help with this

On october 1, 2016, dew company places a new asset into service. the cost of the asset is $80,000 with an estimated eight-year l

Lelu [443]

<span>The annual depreciation expense is $9,000, calculated as follows Cost of the asset is $80,000 less $8,000 salvage value which reduces the cost to $72,000. Useful life is 8 years. To determine annual depreciation expense using straight-line method, divide asset cost of $72,000 by 8 years of useful life equals $9,000 per year.</span>

6 0

3 years ago

A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past

Minchanka [31]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : $H_0 : \mu \geq50000$

Alternative hypothesis : $H_a : \mu$

Since $H_a$ is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$s$ =sample standard deviation

For $n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800$ , we have

$z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23$

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0

3 years ago

What is the expression in simplest radical form?<br><img src="https://tex.z-dn.net/?f=%285x%5E%7B4%7D%20y%5E%7B3%7D%29%5E%7B%5Cf

Vlad [161]

Use the formula a^(x/n) = (n)√a^x (note it is a small n)

(5x^4y^3)^(2/9) = Small 9

Convert.

$\sqrt{9{{(25x^{8})y^9 }}}$ is your answer

hope this helps

5 0

3 years ago

Read 2 more answers

Prove that:

devlian [24]

Answer:

<u>Identities used:</u>

<em>1/cosθ = secθ</em>
<em>1/sinθ = cosecθ</em>
<em>sinθ/cosθ = tanθ</em>
<em>cosθ/sinθ = cotθ</em>
<em>sin²θ + cos²θ = 1</em>

<h3>Question 1 </h3>

(1 - sinθ)/(1 + sinθ) =
(1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
(1 - sinθ)² / (1 - sin²θ) =
(1 - sinθ)² / cos²θ

<u>Square root of it is:</u>

(1 - sinθ)/ cosθ =
1/cosθ - sinθ / cosθ =
secθ - tanθ

<h3>Question 2 </h3>

<u>The first part without root:</u>

(1 + cosθ) / (1 - cosθ) =
(1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
(1 + cosθ)² / (1 - cos²θ) =
(1 + cosθ)² / sin²θ

<u>Its square root is:</u>

(1 + cosθ) / sinθ =
1/sinθ + cosθ/sinθ =
cosecθ + cotθ

<u>The second part without root:</u>

(1 - cosθ) / (1 + cosθ) =
(1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
(1 - cosθ)²/ (1 - cos²θ) =
(1 - cosθ)²/sin²θ

<u>Its square root is:</u>

(1 - cosθ) / sinθ =
1/sinθ - cosθ / sinθ =
cosecθ - cotθ

<u>Sum of the results:</u>

cosecθ + cotθ + cosecθ - cotθ =
2cosecθ

4 0

3 years ago

Read 2 more answers

Which of these terms indicates the exchange of goods and services between countries

kupik [55]

International trade.

5 0

3 years ago