Answer: ✓ an intermediate goal that affects a long-term goal
The formula for calculating the Confidence Interval is as
follows:
Confidence Interval = x +- (z*s)/√N
Where:
x = mean = 10.36
z = taken from standard normal distribution table based on 95%
confidence level = 1.96
s = standard deviation = 5.31
N = sample size = 30
Substituting know values on the equation:
Confidence Interval = 10.36 +- ( 1.96 * 5.31) / √30
Confidence Interval = 8.46 and 12.26
Hence the bill of lunch orders ranges from 8.46 to 12.26.
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Answer:
Contribution margin ratio= 0.42
Explanation:
Giving the following information:
Bryce Co. sales are $801,000
Variable costs are $465,100
Operating income is $287,000.
<u>To calculate the contribution margin ratio, we need to use the following formula:</u>
contribution margin ratio= (sales - variable cost) / sales
contribution margin ratio= (801,000 - 465,100) / 801,000
contribution margin ratio= 0.42
0.82777 Canadian dollars = 1 US dollars
1 Canadian dollar = (0.82777 /1.000) US dollars
3 Canadian dollars = ((0.82777 /1.000) x 3) = $2.48331
Given:
tuition: 180,000 per year
period to save: 18 years
annual rate of return : 6%
FV = PV * (1+r)^t
180,000 = PV * (1 + 0.06)¹⁸
180,000 = PV * (1.06)¹⁸
PV = 180,000 / (1.06)¹⁸ = 180,000 / 2.854 = 63,069.38
Jack and Jill will have to invest 63,069.38 in the first year to have a total of 180,000 after 18 years.
Using Future Value Annuity formula:
FV of Annuity = P [{(1+r)^n - 1} / r]
180,000 = P [{(1.06)¹⁸ - 1} / 0.06]
180,000 = P (30.906)
P = 180,000 / 30.906
P = 5,824.11
Jack and Jill will have to deposit 5,824.11 every end of the year for the total to reach 180,000 after 18 years.
