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Paul [167]
3 years ago
13

(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0
Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference

(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3

(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3
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The question is incomplete:

1. A cosmetologist must double his/her salary before the employer con realize any profit from  his/her work,  Miss, Mead paid Miss, Adams $125,00 per week to start.

2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for  services if Miss. Mead is to realize $50.00 profit on her work? (Conditions on salary are the same  as in problem 1)  

ODS

a. $275.00 b. $325.00 c. $250.00 d. $300.00

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