Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
= -2(1/3x)
=-2/3x
you multiply the bracket first and then times -2.
Answer:
x=9
y=15
Step-by-step explanation:
it's a parallelogram, the sides parallel are equal
The amount of George's income that is subject to withholding is <u>$75,000</u>, which excludes the alimony income.
<h3>What is alimony income?</h3>
Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.
<h3>What are the incomes subject to withholding?</h3>
The incomes subject to withholding include the following:
- Regular
- Commissions
- Vacation pay
- Reimbursements
- Other expense allowances
- Pensions
- Bonuses
- Dividends
- Gambling winnings.
<h3>Data and Calculations:</h3>
Wages income = $50,000
Gambling winning = $20,000
Alimony income = $10,000
Dividend income = $5,000
Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)
Thus, George's income that is subject to withholding is <u>$75,000</u>, excluding the alimony income.
Learn more about withholding tax at brainly.com/question/26781826
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Answer:
132 in
Step-by-step explanation:
rectangle- 12(8)=96
triangle 1- 3(12)= 36 divide by 2 = 18
triangle 2- same as tri. 1
rapeziod- 96+18+18=132
