Damerly Company (a Utah employer) wants to give a holiday bonus check of $125 to each employee. Since it wants the check amount to be $125, it will need to gross-up the amount of the bonus. Calculate the withholding taxes and the gross amount of the bonus to be made to John Rolen if his cumulative earnings for the year are $46,910. Besides being subject to social security taxes and federal income tax (supplemental rate), a 4.95% Utah income tax must be withheld on supplemental payments.

Each of the four independent situations below describes a sales-type lease in which annual lease payments of $12,500 are payable at the beginning of each year. each is a finance lease for the lessee. (fv of $1, pv of $1, fva of $1, pva of $1, fvad of $1 and pvad of $1) (use appropriate factor(s) from the tables provided.) situation 1 2 3 4 lease term (years) 3 3 3 3 asset’s useful life (years) 3 4 4 6 lessor’s implicit rate (known by lessee) 14 % 14 % 14 % 14 % residual value: guaranteed by lessee 0 $ 5,000 $ 2,500 0 unguaranteed 0 0 $ 2,500 $ 5,000 purchase option: after (years) none 2 3 3 exercise price n/a $ 7,500 $ 1,500 $ 3,500 reasonably certain? n/a no no yes

Neon light company of kansas city ships lamps and lighting appliances throughout the country. ms. neon has determined that through the establishment of local collection centers around the country, she can speed up the collection of payments by one and one-half days. furthermore, the cash management department of her bank has indicated to her that she can defer her payments on her accounts by one-half day without affecting suppliers. the bank has a remote disbursement center in florida. a. if neon light company has $2.90 million per day in collections and $1.18 million per day in disbursements, how many dollars will the cash management system free up?

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.