Answer:
The confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is n = 118
The number that gave the correct answer is k = 44
Generally the sample proportion is mathematically represented as
=>
Generally given that the confidence level is 95% the level of significance is mathematically represented as
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>
Answer
2 + 2 = 21
Step-by-step explanation:
because, vine.
Answer:
18 years
Step-by-step explanation:
The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by
Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03
We can rearrange the above equation to:
Taking logs on both sides
This gives
In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075
1 + r/n = 1+0.0075 = 1.0075
4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72
t = 72/4 = 18 years
The total amount of money accrued ( principal and interest ) in 35 years is $570.78.
<h3>What is the total amount accrued?</h3>
The formula for compound interest is expressed as;
A = P( 1 + r/t )^(n×t)
Given the data in the question;
- Principal P = $200
- Rate r = 3% = 3/100 = 0.03
- Compounded monthly n = 12
- Time t = 35
- Amount accrued in 35 years A = ?
Plug the given values into the equation above.
A = P( 1 + r/n )^(n×t)
A = 200( 1 + 0.03/12 )^(12×35)
A = 200( 1 + 0.0025 )^(420)
A = 200( 1.0025 )^(420)
A = 200( 2.85390914 )
A = $570.78
Therefore, the total amount of money accrued ( principal and interest ) in 35 years is $570.78.
Learn more about compound interest here: brainly.com/question/27128740
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