Answer:
3428.57
Step-by-step explanation:
20,000/7=
2857.14
20,000/5=
4,000
2857+4,000=
6857.14/2=
3428.57
You inspect the series that you have, very carefully.
-- You notice that 9 was <em><u>increased by 2</u></em> to get 11.
-- You notice that 11 was <em><u>increased by 2</u></em> to get 13.
-- You notice that 13 was <em><u>increased by 2</u></em> to get 15.
-- You notice that 15 was <em><u>increased by 2</u></em> to get 17.
By now, it begins to dawn on you. You say to yourself "Self ! I'll just bet
that each term has to be increased by 2 in order to get the next term."
Acting on that assumption, you set out on your flight of prediction:
-- You take the last term, 17, increase it by 2,and get 19.
-- You take the new term that you have created, 19,
increase it by 2, and get 21.
-- You take the 2nd new term that you have created, 21,
increase it by 2, and get 23.
Now you have the three new terms, and that's all you were asked for.
But you're just getting warmed up. Nothing can stop you now.
25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49,
51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75,
77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101
Suddenly, you stop ! You just realized that this is not the ONLY
possible pattern that would produce the same first 5 numbers.
Answer:
Step-by-step explanation:
When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to
are ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
Using that rule here, we find ...
∆ = 5·3 -6·2 = 3
a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8
s = (41·3 -54·2)/3 = 41 -18·2 = 5
This math can be performed in your head, which is the intent of formulating the rule in this way.
_____
Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.
_____
<em>Comment on the question</em>
We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.
she makes her most revenue when she sells 20 birthday cards and 15 holiday cards for revenue of 77.5 dollars.
