Answer:
She sold for $4683.33
Step-by-step explanation:
For a sales of $1000 she is paid 7.5% which is equivalent to $75.
Since she earned $517 , her total sales was more than $1000.
Let she had a sales of $(1000+x).
Then her commission would be $75 + 12% of $x .
But her total commission was $517.
Then commission from sales after she sold for $1000 = $(517 - 75)
= $442
This is also equal to 12% of x.
![0.12 \times x[\tex] = $442x = [tex] \frac{442}{0.12}](https://tex.z-dn.net/?f=0.12%20%5Ctimes%20x%5B%5Ctex%5D%20%3D%20%24442%3C%2Fp%3E%3Cp%3Ex%20%3D%20%5Btex%5D%20%5Cfrac%7B442%7D%7B0.12%7D)
x = $3683.33
Hence she sold for $4683.33
Answer:
All 600 members of the club are population of this study
Step-by-step explanation:
There is difference in population of study and the samples taken from that population. All the 600 members of the club are actually the population of this study whereas the 50 members taken out of these 600 members are basically the sample of data. In order for us to carry out the surveys easily, we select a sample from the whole population. The sample has smaller number as compared to the whole population making it easier for us to carry out survey.
Answer:
a)z1 +z2 =z2 + z1 ...proved.
b) z1 + ( z2+ z3 )=(z1+z2)+z3 ... proved.
Step-by-step explanation:
It is given that there are three vectors z1 = a1 + ib1, z2 = a2 + ib2 and z3 = a3 + ib3. Now, we have to prove (a) z1 + z2 = z2 + z1 and (b) z1 + (z2 +z3) = (z1 + z2) + z3.
(a) z1 + z2 = (a1 +ib1) + (a2+ ib2) = (a1 +a2) + i(b1 +b2) {Adding the real and imaginary parts separately}
Again, z2 + z1 =(a2 +ib2) + (a1 +ib1) = (a2 +a1) + i(b2 +b1) {Adding the real and imaginary parts separately}
Hence, z1 +z2 =z2 + z1 {Since, (a1 +a2) = (a2 +a1) and (b1 +b2) = (b2 +b1)}
(b) z1 + ( z2+ z3 ) = [a1 + ib1] + [(a2 + a3 ) + i(b2 + b3 )] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Again, (z1+z2)+z3 = [(a1+a2) +i(b1+b2)]+[a3+ib3] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Hence, z1 + ( z2+ z3 )=(z1+z2)+z3 proved.
Step-by-step explanation:
-5>4 because it is based on formula