When compared to static budgets, flexible budgets:
a. offer managers a more realistic comparison of budgeted and actual revenue and cost items under their control.
b. provide a better understanding of the capacity (volume) variances during the period being evaluated.
c. offer managers a more realistic comparison of budgeted and actual fixed cost items under their control.
d. encourage managers to use less fixed cost items and more variable cost items that are under their control.

For each separate case below, follow the 3-step process for adjusting the prepaid asset account at december 31. step 1: determine what the current account balance equals. step 2: determine what the current account balance should equal. step 3: record the december 31 adjusting entry to get from step 1 to step 2. assume no other adjusting entries are made during the year. a. prepaid insurance. the prepaid insurance account has a $4,700 debit balance to start the year. a re- view of insurance policies and payments shows that $900 of unexpired insurance remains at year-end. b. prepaid insurance. the prepaid insurance account has a $5,890 debit balance at the start of the year. a review of insurance policies and payments shows $1,040 of insurance has expired by year-end. c. prepaidrent. onseptember1ofthecurrentyear, thecompanyprepaid$24,000 for 2 years of rentfor facilities being occupied that day. the company debited prepaid rent and credited cash for $24,000.

Peyton taylor drew a map with scale 1 cm to 10 miles. on his map, the distance between silver city and golden canyon is 3.75 cm. what is the actual distance between silver city and golden canyon?

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.