Company A
Income = 35,000 + 0.03x
Company B
Income = 25,000 + 0.05x
set them equal to see how much of sales Julia needs to make the same income at both companies.
30,000 + 0.03x = 25,000 + 0.05x
30,000 - 25,000 = 0.05x - 0.03x
5,000 = 0.02x
5,000/0.02 = x
250,000 = x
Company A has better base salary and so would pay better if less than 250,000 sales are made. Company B has bigger percent bonus and would be a better deal if more than 250,000 sales are made.
So it's the 2nd choice.
Answer:
48 hope this helped
Step-by-step explanation:
Answer:
The first three terms of the series are 8, 10 and 12. The number of terms is 12 to make the sum 228.
Step-by-step explanation:
The series is defined as
Put n=1.
Put n=2.
Put n=3.
The first three terms of the series are 8, 10 and 12.
It is an arithmetic series. The first terms is 8 and the common difference is
The sum of n terms of an arithmetic series is
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
![288=\frac{n}{2}[2(8)+(n-1)2]](https://tex.z-dn.net/?f=288%3D%5Cfrac%7Bn%7D%7B2%7D%5B2%288%29%2B%28n-1%292%5D)
![288=\frac{2n}{2}[8+n-1]](https://tex.z-dn.net/?f=288%3D%5Cfrac%7B2n%7D%7B2%7D%5B8%2Bn-1%5D)
![288=n[n+7]](https://tex.z-dn.net/?f=288%3Dn%5Bn%2B7%5D)
Equate each factor equal to zero.
The number of terms can not be negative, therefore the value of n must be 12.
64 and 28 have a GCF of 4, since 64 = 4 x 16, 28 = 4 x 7, and 7 and 16 have no factors other than 1 in common. Knowing that, we can rewrite 64 + 28 as
4 x 16 + 4 x 7
and then use the distributive property to rewrite it again as
4 x (16 + 7)
