Joel is going to start a business. To cover his start-up costs he takes out two loans. Loan 1: Joel made an initial payment of $2,000 and will make monthly payments of $300 per month. Loan 2: Joel made an initial payment of $1,000 and will make monthly payments of $200 per month. How many months will it take Joel to pay off these two loans if they are $21,500 in total?

Asimple random sample of size nequals14 is drawn from a population that is normally distributed. the sample mean is found to be x overbar equals 70 and the sample standard deviation is found to be sequals13. construct a 90% confidence interval about the population mean

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?