A photocopier cost $ 102 comma 000 when new and has accumulated depreciation of $ 93 comma 000. If the business discards this pl
1 answer:
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Answer:
The upper limit is 10.1
The lower limit is 9.91
Explanation:
Given that:
The mean fill level (μ) = 10.01 ounces,
Standard deviation (σ) = 0.25 ounces
Number of sample bottles (n) = 20
The limits of the sample mean = 92% = 0.92
α = 1 - 0.92 = 0.08
The z value of 0.04 is the same as the z value of 0.46 (0.5 - 0.04). From the probability distribution table:
The margin of error (e) is given by:
The upper limit = μ + e = 10.01 + 0.1= 10.1
The lower limit = 10.01 - 0.1 = 9.91
Answer:
Inflation in 2012:
= 10%
Inflation in 2013:
= 9.09%
Inflation in 2014:
= 5%
Real rate of interest = Nominal - inflation
Given that,
Nominal rate = 8%
Therefore,
Real interest rate is as follows:
2012:
= 8% - 10%
= -2%
2013:
= 8% - 9.09%
= -1.09%
2014:
= 8% - 5%
= 3%
$6000 at 8% grows to:
= 1000 × 1.08
= $6,480 in one year
which is invested again to grow to $6,998.4 in two years
which is invested again to grow to $7,558.272 in three years
so,
Total gain:
= 25.9712%
The price level increases in three years by:
= 26%
So,
Total real rate of return:
= Total gain - Percentage increase in prices
= 25.9712 - 26
= -0.0288%
Answer: The loan was taken for 265 days.
We arrive at the answer as follows:
First we find the ratio of interest paid to the total loan amount to determine the interest rate:
Interest paid = $1,307
Loan Amount = $45,000
Since the interest rate calculated above is less than the annual interest rate at 4%, we conclude that the loan taken was for a period of less than one year.
We can determine the period for which the loan was taken as follows:
Let 'x' be the time for which the loan was taken.
We need to solve for x in the proportion below
0.04 : 365 :: 0.029044444:x
Solving we get,