In spherical geometry lines are called _____
1 answer:
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Using the interest formulas, it is found that the values of the investment are given as follows:
- Using simple interest, the value will be of $34,000.
- Using compound interest, the value will be of $144,461.
- Using continuous compounding, the value will be of $148,002.
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
In which:
- P is the initial amount.
- r is the interest rate, as a decimal.
In this problem, we have that the parameters are as follows:
P = 9000, r = 0.07, t = 40.
Hence:
n is the number of compounding, for quarterly n = 4, then:
Hence:
More can be learned about the interest formulas at brainly.com/question/25296782
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Answer:
a)
b) We are uncertain
c) It will change significantly
Step-by-step explanation:
a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.
Since we assume that the variances are equal, we use the pooled variance given as
,
where .
The mean difference .
The confidence interval is
b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.
c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.