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Nicole R.

Tutor

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Calculus

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Question:

Find the integral of: [integral] x / (x^2 + 5) dx

Nicole R.

Answer:

1/2 ln (x^2+ 5) + C

Statistics

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Question:

A sample of 25 people was collected. The mean was 12. and the standard deviation in the population is 15. Calculate a 95% confidence interval.

Nicole R.

Answer:

z-score = 1.96 lower: 12 - 1.96(15/sqrt(25)) = 6.12 upper: 12 + 1.96(15/sqrt(25)) = 17.88 95% confidence interval: (6.12, 17.88)

Finance

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Question:

A bond has a $1,000 face value and a coupon rate of 6%. The bond matures in 20 years, pays coupons semi-annually, and its yield is 8%. What is the bond's value today?

Nicole R.

Answer:

FV = $1,000 CF = $60/2 = $30 N = 5 x 2 = 10 i = 8%/2 = 4% Present value = $918.89

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