What is the value of z?
1 answer:
Answer:
Step-by-step explanation:
<u>Item 1:</u>
Discount = Original price - discount price
= 22.50 - 13.50
= $ 9
Discount percentage =
= 40%
Discount percentage = 40%
Tax = 14.31 - 13.50 = $0.81
Tax% = = 6%
Tax percentage = 6%
<u>Item 2:</u>
Tax = 6% of 16.20
= 0.06 * 16.20
= 0.972
Tax = $ 0.97
Total price (including tax )= 16.20 + 0.97 = $ 17.17
x = $ 17.17
<u>Item 3:</u>
Discount = 40% of 32.50
= 0.4 * 32.50
= $ 13
y = 32.50 -13
y = $ 19. 50
Tax = 6% of 19.50
= 0.06 * 19.50
= 1.17
z = 1.17 + 19.50
Z =$ 20.67
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Answer:
- a = $8
- s = $5
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
- ax +by = c
- dx +ey = f
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.
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Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.
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<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.
