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3 years ago

5

Samuel deposited money in an account that pays an annual simple interest rate of 3.5%. at the end of 5 years, samuel earns $2625

.00 in interest. how much money had he deposited in the account?

2 answers:

evablogger [386]3 years ago

4 0

He has deposited 1500 dollars into the account.

bezimeni [28]3 years ago

3 0

P=i/rt
P=2625/0.035*5
P==15,000

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Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

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1 Find the probability that x will be more than 25.

This is 1 subtracted by the p-value of Z when X = 25. So

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

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The probability that x will be more than 25 is 0.6305.

2 Find the 55th percentile of x.

This is X when Z has a p-value of 0.55, so X when Z = 0.125.

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