Answer:
Discount = $290.76 × 0.2 = $58.15
Cost After Discount = $290.76 - $58.15 = $232.61
Sales Tax = 0.0625 × $232.61 = $14.56
How Much You Pay = $232.61 + $14.56 = $247.17
Step-by-step explanation:
Discount:
290.76 × 0.2* = 58.152
Round that to 58.15
* Turn 20% into a decimal (0.2)
Cost after Discount:
290.76 - 58.15 = 232.61
Sales Tax:
First turn 6.25 % into a decimal. Which would be 0.0625.
0.0625 × 232.61* = 14.556875
Then we round to the nearest hundredth and you get 14.56.
* We us the amount after the discount instead of the original price.
How much you pay:
232.61 + 14.56 = 247.17
The first two rows of coefficients are identical, so by inspection, the determinant is 0.
Answer:
42, 56, 70
Step-by-step explanation:
A right triangle must always have a ratio of side lengths that allow it to connect fully.
Exponents are not particularly mysterious. They show repeated multiplication. That is ...
... c⁴ = c·c·c·c
... w² = w·w
Then the factor inside parentheses is ...
... 8·c·c·c·c·w·w
The exponent outside parentheses tells you the number of times this is repeated as a factor:
... (8c⁴w²)² = (8·c·c·c·c·w·w)(8·c·c·c·c·w·w)
... = 8·8·c·c·c·c·c·c·c·c·w·w·w·w = 64c⁸w⁴
_____
You can take advantage of the fact that multiplication is repeated addition, so the exponents of the various factors can be found by multiplying the outside exponent by the inside exponents.

Part A: variables: x, y coefficients: 15, 100
Part B: 2 terms: 15x, 100y because they are separated by a + sign
Part C: 15x shows the total earned from her allowance