Math Answers

Construct a truth table for (~p ˄ r) ˅ (q ˄ ~r).

Suppose

u=rcos(wt)i+rsin(wt)j where r and w are constants, find the vector velocity

2000for 5%years with interest rate 12% compounded montly

A POPULATION CONSISTS OF THE NUMBERS 2, 4, 9, 10 AND 5. LET US LIST ALL POSSIBLE SAMPLE SIZE OF 3 FROM THIS

POPULATION AND COMPUTE THE MEAN OF EACH SAMPLE. COMPUTE FOR THE POPUALATION MEAN.

a hiker is hikeing up a mountan he spends 4 hrs climbeing up the moutan at a 800m then spends 2 hrs desending at 1200m

A debt of 40 000 is to amortized with 8 000 being paid at the end of each quarter .The interest rate is 16% compounded quarterly.Construct an amortization schedule

Find the zero of the polynomial : x³+ 2x² - 5x - 6

• What is the reminder? when x⁴- 3x²- 5x is divided by 2x-1

Completely factorize the following polynomial: x⁴−3x³+4x²−8

d) The Profit function of a firm is of the form π = aQ2 + bQ + c if it is known that π =

31, 34, and 27 when Q = 1, 2, and 3 respectively, write down a set of three unknowns,

a, b, and c. Solve this system to find a, b, and c. hence find the profit when Q = 5. [7]

e) A real estate firm owns the Kasumba Garden Apartments which consists of 90

apartments. At K350 per month every apartment can be rented. However, for each K10

per month increase there will be two vacancies with no possibility of filling them. The

firm wants to receive K31980 per month from rents. What rent should be charged for

each apartment?