20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200
14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140
140 is the smallest number they have in common.
Answer:
Step-by-step explanation:
Activity 3
Q1) consistent, independent
Q2) inconsistent
Q3) consistent, dependent
Q4) consistent, independent
D (7) should be the correct answer.
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
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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