a manager is about to make a decision regarding work schedules. he has been with the company for 20 years and has all of the in
1 answer:
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Answer:
Future value will be larger with smaller compounding period; $373.4 more would be earned with shorter compounding period.
Explanation:
Given:
Amount to be invested = 29,000÷2 = $14,500
Duration if amount invested = 25 years
Rate = 4% or 0.04 compounded annually
Value of investment at the end of 25 years =
= $38,654.63
Future value if compounded annually is $38,654.63
Future value if semi-compounded annually:
Duration = 25×2 = 50 periods
Rate = 0.04÷2 = 0.02
Value of investment at the end of =
= $39,028.03
Future value if semi-compounded annually is $39,028.03
As such, future value is larger if compounding period was 6 months.
They would have earned $373.40 more that is (39,028.03 - 38,654.63), with shorter period.
The closest to the minimum number of consumers needed to obtain the estimate with the desired precision is (b) 271
Explanation:
When the prior estimate of population proportion is not given , then the formula to find the sample size is given by :-
where E = Margin of error.
z* = Critical z-value.
As per given , we have
E = 5%=0.05
Confidence level = 90%
The critical value of z at 90% is 1.645 (By z-table)
Put all values in the formula , we get
n=0.25(1.645/0.05)²
n=0.25(32.9)²
n=270.6025≈271
Thus, the minimum sample size needed = 271
Hence , the correct answer is 271 .