An aptitude test for selecting officers in an insurance company was conducted on 1000 candidates. The average score was found to be 42 with a standard deviation of 24 scores. Assuming normal distribution for the scores. Find the number of candidates with scores exceeding 60 and scores falling between 30 and 60.​

Arival company manufactures fuel tanks for cars using a different production technique. the total weekly cost (in dollars) of producing x tanks is given by c(x) = 10000 +90x - 0.04x2 find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (round to the nearest 2 decimal places, if needed)

The following information is available for juno company for the month ending june 30, 2019. * balance as per the bank statement is $ 11 comma 000. * balance as per books is $ 10 comma 400. * check #506 for $ 1 comma 200 and check #510 for $ 900 were not shown on the june 30, bank statement. * a deposit in transit of $ 3 comma 346 had not been received by the bank when the bank statement was generated. * a bank debit memo indicated an nsf check for $ 70 written by jane smith to juno company on june 13. * a bank credit memo indicated a note collected by the bank of $ 1 comma 900 and interest revenue of $ 51 on june 20. * the bank statement indicated service charges of $ 35. what is the adjusted book balance?

You hold a diversified $100,000 portfolio consisting of 20 stocks with $5,000 invested in each. the portfolio's beta is 1.12. you plan to sell a stock with b = 0.90 and use the proceeds to buy a new stock with b = 1.50. what will the portfolio's new beta be? do not round your intermediate calculations.