A survey of 132 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take
1 answer:
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Answer:
- The total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.
- The total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.
Step-by-step explanation:
a) How much will you have at the middle of the first year?
Using the formula
where
- Principle = P
- Annual rate = r
- Compound = n
- Time = (t in years)
- A = Total amount
Given:
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 0.5 years
To determine:
Total amount = A = ?
Using the formula
substituting the values
$
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.
Part b) How much at the end of one year?
Using the formula
where
- Principle = P
- Annual rate = r
- Compound = n
- Time = (t in years)
- A = Total amount
Given:
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 1 years
To determine:
Total amount = A = ?
so using the formula
so substituting the values
$
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.
Answer:
The probability
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.90
The sample size is n = 30
Generally mean of the sampling distribution is
Generally the standard deviation is mathematically represented as
=>
=>
Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as
Generally
So
From the z-table
So