Find the value of the constant k so that the function is a probability density function in the indicated interval.
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Mathematics

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Solve the problem.The James family wants to save some money in interest by paying off their auto loan 12 months early. The 36-month loan required payments of $455 per month. The car cost $18,600 with a down payment of $6000. How much unearned interest did they save?

A. $468.00 B. $1702.70 C. $1486.84 D. $442.70

Mathematics

Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?

A. $180,000 B. $300,000 C. $270,000 D. $239,400

Mathematics

Divide. Leave your answer in trigonometric form. ?

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Mathematics

Solve the problem.Gillian has $10,000 to invest in a mutual fund. The average annual rate of return for the past five years was 12.25%. Assuming this rate, determine how long it will take for her investment to double.

Fill in the blank(s) with the appropriate word(s).

Mathematics