Answer:
A
Step-by-step explanation:
The tax bracket and tax-free yield will be (18%, 3%) < (32%, 3%) < (32% , 4%) < (22% , 5%) < (24% , 6%) .
<h3>
Taxable equivalent yield based problem:</h3>
The taxable equivalent yield will be:
= Tax-free yield / (100 - Tax bracket)
Taxable equivalent yield = 3 / (100 - 18) = 0.03659
Taxable equivalent yield = 6 / (100 - 24) = 0.07895
Taxable equivalent yield = 3 / (100 - 32) = 0.04412
Taxable equivalent yield = 5 / (100 - 22) = 0.06410
Taxable equivalent yield = 4 / (100 - 32) = 0.05882
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Simplifying x2 + -8x = 20 Reorder the terms: -8x + x2 = 20 Solving -8x + x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + -8x + x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -8x + x2 = 0 Factor a trinomial. (-2 + -1x)(10 + -1x) = 0 Subproblem 1Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2 Subproblem 2Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solutionx = {-2, 10}
The absolute value of 3 above par means any value more than the absolute value of 3. The absolute value of 3 is (+) 3 since an absolute value of a number cannot be negative. Above par means positive (+), so more than the specified value of 3. <span />
Answer:
The pre-image C is (2, 5)
Step-by-step explanation:
- If the point (x, y) rotated about the origin by angle 90° clockwise, then its image is (y, -x)
- If the point (x, y) rotated about the origin by angle 180° clockwise, then its image is (-x, -y)
- If the point (x, y) rotated about the origin by angle 270° clockwise, then its image is (-y, x)
∵ Point C was rotated 270° clockwise around the origin
∵ C' = (-5, 2)
→ By using the 3rd rule above
∵ The image of the point (x, y) is (-y, x)
∴ (-y, x) = (-5, 2)
→ That means -y = -5 and x = 2
∴ x = 2
∴ -y = -5
→ Divide both sides by -1
∴ y = 5
∴ The pre-image C = (2, 5)