This will be a 4th degree polynomial. Our root of x = 7 in factorization form is (x-7). Our root of x = -11 in factorization form is (x+11) and the last one is a complex number. According to the conjugate root theorem, if we have 2+8i, we also HAVE to have 2-8i. In factorization form that first one is (x-(2+8i)) which simplifies to (x-2-8i). Its conjugate in factorization form is (x-2+8i). Now we will FOIL all that out. Let's start with the (x-2-8i)(x-2+8i). That multiplies out to

. We have to combine like terms here to shorten that a bit.

. i^2 is equal to -1, and -1(64) = -64. Now we have

. That is

. Now let's FOIL in another factorization.

. That comes out to

. One more term to go!

. That, finally, is

.
Answer:
Depreciation should be on a value net of VAT.
Cost + (Cost * VAT) = 402,500
Cost + Cost * 15% = 402,500
1.15 * Cost = 402,500
Cost = $350,000
Depreciation is straight line for 6 years so per year is = 350,000/6 = $58,333
2019
In 2019 the June year end from date of purchase will be 10 months.
Depreciation in 2019
= Yearly depreciation * 10/12 months
= 58,333 * 10/12
= $48,611
Accumulated Depreciation 2019
= $48,611
2020
2020 will be a complete year so depreciation
= $58,333
Accumulated Depreciation 2020
= 2019 + 2020
= 48,611 + 58,333
= $106,944
<em><u>(0.2)x = 2.</u></em>
<em><u>Taking log on both sides</u></em>
<em><u>log (0.2)x = log 2.</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>log (0.2) = 0.3010, [since log 2 = 0.3010].</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>log (2/10) = 0.3010.</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>[log 2 - log 10] = 0.3010.</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>[log 2 - 1] = 0.3010,[since log 10=1].</u></em>
<em><u>x[-0.699] = 0.3010.</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>0.3010/-0.699.</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>= -0.4306….</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>= -0.4</u></em><em><u>.</u></em>
Answer: simple random sampling
Step-by-step explanation:
In statistics, when a subset of individuals known as sample chosen from a population by a random selection of individuals such that the chances of selecting each individual is same, then the sampling method is called simple random sampling method.
Given: To assess the learning outcomes of a Statistic course, 5 students are chosen at random from each of the 30 Statistics classes.
here chances for selectin students is same.
The sampling method used here : " simple random sampling "
Answer:
1) 75 copies were sold
2)expected wage=720
Step-by-step explanation:
in this equation, y represents wages and x represents number of copies sold
lets take the trendline, y=6x+120
since the amount earnt is $570, we can take this to be our y variable
570=6x+120
450=6x
x=75
1) 75 copies r sold
2) this time we substitue the 100 for x
y=6(100)+120
y=600+120
y=720
2) expected wage=720