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Katen [24]
3 years ago
13

Find the 5th (not fourth) of given geometric sequence. 2000, 1000, 500,...

Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

125

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

1000/2000 = 1/2

We multiply each term by 1/2

2000, 1000, 500

To find the next term 500*1/2 = 500/2 = 250

To find the 5th term

250*1/2 = 125

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I need help with number 10
lukranit [14]
A)
Knights:
25n-C+1250=0
25n+1250=C
C=25n+1250

Legions:
30n+995-C=0
30n+995=C
C=30n+995

b)
fixed cost=b in y-intercept form
variable cost, dependent on n=m in y-intercept form
Knights:
fixed=1250
variable=25

Legions:
fixed=995
variable=30

c)
insert 45 into n for both formulas:

Knights:
25*45+1250=1125+1250=2375

Legions:
30*45+995=1350+995=2345

d)With 45 guests the Legion's Banquett Hall is cheaper, but due to the higher variable cost this changes with a few more people.
calculate break even point:
difference in variable cost=5 -> per person the cost difference will decrease by this much if another person joins
current price difference: 2375-2345=30
30/5=6 -> if there are 6 additional guest (total= 51) they will cost the same
if there are more than 6 additional guest (total >51) the knight's banquett will be cheaper.


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