Answer:
5a
2
+4ab+5b
2
Step-by-step explanation:
step 1. (((0-(4•(a2)))+3ab)+(12•(b2)))+(((9•(a2))+ab)-7b2)
step 2. (((0-(4•(a2)))+3ab)+(12•(b2)))+((32a2+ab)-7b2)
step 3.(((0-(4•(a2)))+3ab)+(22•3b2))+(9a2+ab-7b2)
step 4. (((0-(4•(a2)))+3ab)+(22•3b2))+(9a2+ab-7b2)
step 5. 5.1 Factoring 5a2 + 4ab + 5b2
Answer:
9.96 + 10.01p ≤ 50, so p ≤ 4
Step-by-step explanation:
See the attached picture for the solution:
9514 1404 393
Answer:
$3400
Step-by-step explanation:
The way these tax tables are structured, you pay 3% on the first $10,000, 5% on the next $40,000, and 5.5% on the remaining $20,000 above $50,000.
tax = 0.03·10,000 +0.05·(50,000 -10,000) +0.055·(70,000 -50000)
= 300 + 2000 +1100
= 3400 . . . dollars
The tax owed on $70,000 is $3,400.
_____
<em>Additional comment</em>
I like to rewrite this sort of table to a different format:
- 3% of income . . . . . . . . . . . . . . . applies for income ≤ 10,000
- (5% of income) -$200 . . . . . . . . applies for 10,000 < income ≤ 50,000
- (5.5% of income) -$450 . . . . . . .applies for 50,000 < income ≤ 100,000
For an income of $70,000, the tax computation using this form is one multiplication and one addition, rather than 3 multiplications and 4 additions as used when navigating the given table.
