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forsale [732]
3 years ago
5

You would like to have ​$4000 in 3 years for a special vacation following graduation by making deposits at the end of every six

months in an annuity that pays 4.5​% compounded semiannually. a. Use one of the formulas below to determine how much you should deposit at the end of every six months.
Mathematics
1 answer:
Rama09 [41]3 years ago
3 0

Answer:

666.70 at the end of every six months.

Step-by-step explanation:

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Assume the time required to complete a product is normally distributed with a mean 3.2 hours and standard deviation .4 hours. Ho
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Step-by-step explanation:

Let X be the random variable that denotes the time required to complete a product.

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X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

Then, P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10

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As, P(z>1.28)=0.10  [By z-table]

Then,

\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

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