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Alex Ar [27]
3 years ago
10

What is the interest earnt on a $5000 investment at 6.4% p.a. after 3 years if interest is compounded weekly?

Mathematics
1 answer:
AveGali [126]3 years ago
8 0
Let's assume there are 52 weeks in a year,
so we have , rate= 6.4/52= 0.123%
now ,
c.i = 5000[(1+0.123/100)^3×52 -1]
= $1056.911
took me a while
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3 years ago
Assume that the distribution of weights of adult men in the United States is normal with mean 190 pounds and standard deviation
avanturin [10]

Answer:

182.41

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 190, \sigma = 30

40th percentile

Value of X when Z has a pvalue of 0.4. So X when Z = -0.253.

Z = \frac{X - \mu}{\sigma}

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So the answer is 182.41.

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