The number of possibilities that are there for the ordered pair is 2.
<h3>Calculation and Parameters
</h3>
Because the unpainted part of the floor covers 1/2 of the area, then the painted rectangle covers 1/2 of the area as well.
Given that the border width is 1 foot, the dimensions of the rectangle are a-2 by b-2.
Making an equation:
ab= 2((a-2)(b-2))
ab= 2ab-4a-4b+8
ab-4a-4b+8=0
If we apply Simon's Favorite Factoring Trick,
ab-4a-4b+16= 8
(a-4)(b-4)= 8
Since b > a, then we have the possibilities
(a-4) = 1 and (b-4) = 8, or (a-4) = 2 and (b-4) = 4.
(5, 12) or (6,8) which gives us 2 possibilities.
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Answer: A.) $1,095
Explanation:
Bond value = $30,000
Rate = 7%
Period = 10 years
Issue price = $29,100
Bond value × rate :
30,000 × 0.07 = $2100
Semi annually:
$2100 / 2 = $1050
(Bond value - issue price) ÷ (period × 2)
($30,000 - $29,100) / (10 × 2)
$900 ÷ 20 = $45
$1050 + $45 = $1,095
Answer:
B. $80
Explanation:
The annuity exclusion ratio is ($4,800/($100*240))= 20% return of capital per payment. Hence, $80 of the $100 monthly payment is include in gross income
Answer: $1,750
Explanation:
Incurring a health insurance cost of $5,000 or increasing salaries by $5,000 will have the same effect on the taxes because they will both be removed from the income before the taxes are calculated.
The reduction in tax in either case is:
= Expense * Tax rate
= 5,000 * 35%
= $1,750
Answer:
Explanation:
David:
Earnings from Apple Company (office manager)
$26,125
Federal income tax withheld
2,800
State income tax withheld
1,050
Darlene:
Earnings from Rose Company (perfume tester)
$25,100
Federal income tax withheld
2,650
State income tax withheld
900
Their other income includes interest from Pine Tree Savings and Loan of $1,825. Other information and expenditures for 2016 are as follows:
Interest:
On home acquisition mortgage
$11,250
Credit card
925
Taxes:
Property taxes on personal residence
1,300
State income taxes paid in 2016 (for 2015)
315
Contribution (with written acknowledgement) to church
990
Medical insurance
475
Medical and dental expenses
5,800
Income tax return preparation fee paid in 2016
200
Actual general state sales tax for 2016
1,016
Payment of union dues
225
