The team’s ratio of games won to games played was 3 to 8. If the team played 88 games, how many games did the team win? a. 11 ga
2 answers:
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Answer:
Step-by-step explanation:
This sequence is geometric because while x is going up by 1, the y sequence has a common ratio.
That is, term/previous equals same number per consecutive y terms.
So 1/2=2/4=4/8 is the common ratio.
The first term is when x=1. We can find this y by figuring out what we can multiply to our common ratio, 1/2, to get the next term,8.
Since 8(2)=16, then the first term is 16.
In general,
Or if preferred:
where is first term and
is common ratio.
Plug in information:
Answer:
a = , r =
Step-by-step explanation:
The sum to infinity of a geometric progression is
; | r | < 1
Thus for first progression
= 6 ( multiply both sides by (1 - r) )
a = 6(1 - r) → (1)
Second progression
= 7 ← multiply both sides by (1 - r² )
2a = 7(1 - r² ) = 7(1 - r)(1 + r) ← difference of squares
2a = 7(1 - r)(1 + r) → (2)
Substitute a = 6(1 - r) into (2)
2(6(1 - r) = 7(1 - r)(1 + r)
12(1 - r) = 7(1 - r)(1 + r) ← divide both sides by (1 - r)
12 = 7(1 + r) = 7 + 7r ( subtract 7 from both sides )
5 = 7r ( divide both sides by 7 )
r =
Substitute this value into (1)
a = 6(1 - ) = 6 ×
=
Answer:
The selling price of sandals is: $32.77
Step-by-step explanation:
Mark up is the price that is added to the cost price of a product for profit.
Given
Price of sandals = $22.60
Mark up = 45%
To find the price with mark up, we will find the amount of mark up and then add it to the cost price of sandals.
The mark up is $10.17
Now,
Hence,
The selling price of sandals is: $32.77