The following labor standards have been established for a particular product: Standard labor-hours per unit of output 8.6 hours Standard labor rate $ 15.80 per hour The following data pertain to operations concerning the product for the last month: Actual hours worked 10,700 hours Actual total labor cost $ 167,455 Actual output 1,500 units What is the labor rate variance for the month

Jennifer purchased a house in a brand new development in the outskirts of town. when her house was built, the nearest fire department was nearly 20 miles away. as her neighborhood developed, the density of the community called for a new fire department 1.5 miles away. what effect will the new fire station have on her homeowners insurance premium? a. a new fire department will be more demanding on local taxes. her annual premium will go up. b. the location of a fire department has no bearing on the value of her house. her annual premium will stay the same. c. the new fire department will reduce the risk of financial loss in her home. her annual premium should decrease. d. with a fire department so close (less than 5 miles), financial risk on jennifer’s home practically disappears. she will not need to pay insurance anymore.

You plan to invest some money in a bank account. which of the following banks provides you with the highest effective rate of interest? hint: perhaps this problem requires some calculations. bank 1; 6.1% with annual compounding. bank 2; 6.0% with monthly compounding. bank 3; 6.0% with annual compounding. bank 4; 6.0% with quarterly compounding. bank 5; 6.0% with daily (365-day) compounding.

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.