Amarine manufacturer will sell n(x) power boats after spending $x thousand on advertising, as given by upper n (x )equals 970 minus startfraction 3 comma 780 over x endfractionn(x)=970− 3,780 x, 5 less than or equals x less than or equals 305≤x≤30. (a) find upper n prime (x )n′(x). (b) find upper n prime (10 )n′(10) and upper n prime (20 )n′(20). write a brief verbal interpretation of these results.

Adoctor administers a drug to a 38-kg patient, using a dosage formula of 50 mg/kg/day. assume that the drug is available in a 100 mg per 5 ml suspension or in 500 mg tablets. a. how many tablets should a 38-kg patient take every four hours? b. the suspension with a drop factor of 10 ggt/ml delivers the drug intravenously to the patient over a twelve-hour period. what flow rate should be used in units of ggt/hr? a. the patient should take nothing pills every four hours. (type an integer or decimal rounded to the nearest hundredth as needed.)

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.

The first side of a triangle measures 5 in less than the second side, the third side is 3 in more than the first side, and the perimeter is 17 in. how long is the third side? if s represents the length of the second side, which of the following represents the length of the third side? s-5 ws-2 s+ 3 next question ask for turn it in