Q1.the golf runs a competition.
the total prize money is shared in the ratio 1st prize : 2nd prize = 9: 5.
the 1st prize is $500 more than 2nd prize.

a. calculate the total prize money for the competition.
$

b. what percentage of the total prize money is given as the first prize?
%

q2. alfonso has $75 to spend on internet.
he spends some of the money on music, films and books.

a. the money he spends on music, films and books is in the ratio
music : films : books = 5 : 3 : 7 .

he spends $16.50 on music.

calculate the total amount he spends on music, films and books.

$

b. find this total amount as a percentage of the $75.

%

List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x) between x = 4 and x = 6. a 4, 4.5, 5, 5.5 b 4.5, 5, 5.5, 6 c 4.25, 4.75, 5.25, 5.75 d 4, 4.2, 5.4, 6

Which of the functions graphed below has a removable discontinuity?

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)