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Liula [17]
4 years ago
7

How does depreciation affect the cost of owning a car over a period of 5 years

Mathematics
1 answer:
lutik1710 [3]4 years ago
8 0

Due to depreciation, the value of your car goes from 100% when you buy it to nearly 40% after 5 years.

Step-by-step explanation:

Depreciation means the reduction in the value of something you have with time. If you buy a car for $40,000 in 2020 and want to sell it in 2025, you will have to sell it for something near $16,000. This reduction in price is because of you owning the car and using it for that period.

After you buying a car and owning it for a year, your car's value depreciates about 20% which means your car is now worth 80% (100%-20%) of what it cost when you brought it. After owning the car for a year, the value depreciates approximately 10% every year. So for another 4 years, your value decreases another 40% (4 years x 10% per year).

To summarize, the first year the car value depreciates by 20% followed by 4 years of 10% each which is 40%. So in total after 5 years, your car loses nearly 60% of its value due to depreciation. A car brought in 2020 for $40,000 will depreciate 60% and will be valued at nearly $16,000 during 2025.

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Why is sample size important in experimental design? A. Larger sample sizes increase the likelihood that the sample is a good re
nlexa [21]

Answer: A

Step-by-step explanation: when Constructing a confidence interval, it is important to take note of the margin of error which is given by the formulae below

Margin of error = critical value × σ/√n.

Where n is the sample size.

As we can see that the critical value is a constant and the population standard deviation.

Hence there is an inverse relationship between margin of error and sample size, which implies that a large sample size produces a small margin of error.

If the margin of error is small, it means the sample size will increase the like hood that the sample is a good representation of the population.

3 0
3 years ago
Suppose a researcher is estimating the proportion of trees showing signs of disease in a local forest. They randomly sample 150
Serhud [2]

Answer:

0.167 - 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.107

0.167 + 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.227

And the 95% confidence interval would be given (0.107;0.227).

Step-by-step explanation:

Information given

X= 25 number of trees with signs of disease

n= 150 the sample selected

\hat p=\frac{25}{150}= 0.167 the proportion of trees with signs of disease

The confidence interval for the true proportion would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the significance is \alpha=1-0.95=0.05 and \alpha/2=0.025, and the critical value would be

z_{\alpha/2}=1.96

And replacing we got:

0.167 - 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.107

0.167 + 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.227

And the 95% confidence interval would be given (0.107;0.227).

6 0
3 years ago
Two families went to the Zoo. The Diaz family paid $170 for 3 children and 2 adults. The Jones family paid $360 for 4 children a
lesantik [10]

Answer:

\mathrm{A.\:}\begin{cases}3x+2y=170,\\4x+6y=360\end{cases}\\\\\mathrm{B.\:} \$ 30

Step-by-step explanation:

We can write the following system of equations:

\begin{cases}3x+2y=170,\\4x+6y=360\end{cases}, with variables as defined in the question.

Multiply the first equation by -3 and add both equations to isolate and solve for x:

\begin{cases}-9x-6y=-510,\\4x+6y=360\end{cases}\\-5x=-150,\\x=\fbox{$\$ 30$}.

3 0
3 years ago
2 1/2 ft x 1/4 ft<br> please help
lana [24]

Step-by-step explanation:

0.0580644 m2 hope this helps

8 0
3 years ago
Read 2 more answers
13x = 79 ? Can somebody explain #9 b. PLEASE. Please solve using the system of linear equations by elimination.I would love it i
strojnjashka [21]
8x + 2y = 44
5x + 2y = 35

Since 2y is already common, there is no need for multiplication. Just reverse the signs on the equation.

Like this; 

8x + 2y = 44
-5x - 2y = -35

All the additions become subtractions and vice versa.

-2y and +2y get cancelled.

Leaving;

8x = 44
-5x = -35

Now, subtract again. 

8x - 5x = 3x

44 - 35 = 9

So;

3x = 9

x = 9 / 3

x = 3

We found 'x' and now we have to find 'y'.

Just substitute. 

[8 x 3] + 2y = 44

24 + 2y = 44

2y = 44 - 24

2y = 20

y = 20 / 2

y = 10

Now, we re-check;

[8 x 3] + [2 x 10] = 44

24 + 20 = 44

Explaining the error for #9b is simply doing the whole sum. 

Hope this helped! :) I tried my best to explain. 

7 0
4 years ago
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