Randy donated 1/6 of his savings to charity and spent the rest of gifts for 3 friends. If each friend received a gift worth $10
2 answers:
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Answer:
<h2>B.$9,000</h2>Step-by-step explanation:
The sum of years method is used to calculate the depreciation of an asset. Depreciation is the decrease value of an asset, because it's assumed that its value decreases over time.
We need to calculate a Depreciation Base or Depreciable Cost, and Depreciation Fraction, as the formula attached indicates.
First, the Depreciation Base is calculated by subtracting the total amount $12,000 with the salvage value $3,000 which results in $9,000.
<em>(the salvage value is an estimation of the book value of the asset after the depreciation).</em>
Second, we know that the Remaining Useful Life of the Asset is 5 years, and the sum of the years digits is 1 + 2 + 3 + 4 + 5 = 15, which give us 5/15 as Depreciation Fraction. Then, we are able to calculate the Depreciation Expense.
Depreciation Expense = (5/15)x9000 = $3,000.
So, the book value at the end of the first year will show: $12,000 - $3000 = $9,000.
This means that the fist year the asset will lose $3,000 of its value. Companies calculate the depreciation of all the assets to know the productivity.
Given Information:
Mean = μ = $282.45
Standard deviation = σ = $64.50
Sample size = n = 100
Confidence level = 95%
Required Information:
95% Confidence interval = ?
Answer:
95% Confidence interval = ($269.81, $295.09)
Step-by-step explanation:
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
What is Confidence Interval?
The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
The confidence interval is given by
Where is the mean and MoE is the margin of error given by
Where σ is the standard deviation, n is the sample size and is the z-score corresponding to 95% confidence level.
Finally, the confidence interval is
Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)