Answer:
0.1469
Step-by-step explanation:
Given from the question;
Mean=8.4 hrs=μ
Standard deviation=1.8 hrs=δ
Sample size, n=40
Let x=8.7
z=(x-μ)÷(δ÷√n)
Find z(8.7)
z=(8.7-8.4)÷(1.8÷√40)
z={0.3×√40}÷1.8=1.05409
z=1.0541
Read from the standard normal probabilities table
P(z>1.0541)
=0.1459
The future value of the investment if the interest is compounded monthly is $89,354.89.
<h3>What is the future value of the investment?</h3>
Given that;
- Principal P = $20,000
- Annual interest rate r = 5% = 5/100 = 0.05
- Time t = 30 years
- Compound monthly = 12
- Future value = A = ?
Using the compound interest formula;
A = P( 1 + r/n )^(nt)
We plug in our values.
A = 20000( 1 + 0.05/12 )^(12 × 30)
A = 20000( 1 + 0.0041666666666667)^(360)
A = 20000( 1.0041666666666667)^(360)
A = 20000( 4.46774965 )
A = 89354.89
Therefore, the future value of the investment if the interest is compounded monthly is $89,354.89.
Learn more about compound interest here: brainly.com/question/21270833
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The answer is c F(x)= x2-5 and g(x)=c+4
