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Six utility men can clean the entire three star hotel for 10 hours, If the hotel needs to be clean for 6 hours, how many utility men are needed to finish the work


A cellphone worth P15,000 was bought 5 years ago. If it depreciates 5% per annum, how much does it cost now?


There are 81 groups of 21 students. When we regroup all of the students so that each group has 5 members, how many students will be left without a group?


1.8²-×=2

2. (1/2)×←1/8

3. 5×=25×-²

4. 3×+²→8×-¹

5. 4³×=8×-¹


If a firm's demand function is P = 100 - q, what quantities need to be sold to bring in a total revenue of £1000


Find the inverse function of g(x)=(x+2)³

Find the inverse function of f(x)=4x+12

An initial population of 650 quail increases at an annual rate of 2.5%. Write an exponential function to model the quail population.

Find one possible missing coordinate so that the point becomes a solution to the given inequality.

(x,2) is a solution to 2x−8≤y .


Find the domain and range of the following rational function.Use any notation.



f(x)=3/x-1 f(x)=2x/x-4 f(x)=x+3/5x-5 f(x)=2x+x/2x f(x)=(x2+4x+3)/x²-9