SOLUTION: 4. a. The common difference in an arithmetic sequence is 8 and the sum of the first 14 terms is 966, find the first term? b. Solve 4x^2 − 9x ≤ 9. c. Given that q is the num

Algebra ->  Sequences-and-series -> SOLUTION: 4. a. The common difference in an arithmetic sequence is 8 and the sum of the first 14 terms is 966, find the first term? b. Solve 4x^2 − 9x ≤ 9. c. Given that q is the num      Log On


   

Question 1139262: 4.
a. The common difference in an arithmetic sequence is 8 and the sum of the first 14 terms is 966,
find the first term?
b. Solve 4x^2 − 9x ≤ 9.
c. Given that q is the number of ball pumps people are willing to buy per week from a manufacturer
at a price of 1200 − 60√q + 27 dollars .
i. Write an expression R, for total revenue.
ii. Find marginal revenue,dR/dq when q = 12.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
(a):

A%5B1%5D%2B8%28n-1%29, the general term of the sequence

%2814%2F2%29%28A%5B1%5D%2BA%5B1%5D%2B8%2814-1%29%29=966 and question asks for A%5B1%5D.



(b):

4x%5E2-9x-9%3C=0
Find that the solution is between and including the roots.
ROOTS: %289%2B-+sqrt%2881%2B4%2A4%2A9%29%29%2F%282%2A4%29

%289%2B-+sqrt%28225%29%29%2F8

%289%2B-+15%29%2F8

system%28-3%2F4%2Cto%2C3%29

highlight%28-3%2F4%3C=x%3C=3%29

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

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