You just deposited $4,000 in cash into a checking account at the local bank. Assume that banks lend out all excess reserves and
1 answer:
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Answer:
The manufacturer should announce a guaranteed mileage of 44528 miles
Explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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:
What guaranteed mileage should the manufacturer announce
Only until the 5th percentile will have to be replaced, which is the value of X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
The manufacturer should announce a guaranteed mileage of 44528 miles
Answer:
Amount invested @ 5% = $18,500
Amount invested @ 4% = $34,000 - $18,500 = $15,500
Explanation:
Provided we have the following details,
Total investment = $34,000
Let amount invested @ 5% = x
Then, amount invested at 4% = $34,000 - x
Thus,
0.05x + $1,360 - 0.04x = $1,545
0.01x = $1,545 - $1,360 = $185
x = $185/0.01 = $18,500
Thus, amount invested @ 5% = $18,500
Amount invested @ 4% = $34,000 - $18,500 = $15,500