Given:
Francis earns a weekly salary of $475 plus a 5.5% commission on sales at a girt shop.
To find:
How much would he earn in a week if he sold $700 in goods?
Solution:
We have,
Fixed weekly salary = $475
Commission percentage = 5.5% on sales.
Total sales of goods = $700
Total commission = 5.5% of 700
![=\dfrac{5.5}{100}\times 700](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B5.5%7D%7B100%7D%5Ctimes%20700)
![=5.5\times 7](https://tex.z-dn.net/?f=%3D5.5%5Ctimes%207)
![=38.5](https://tex.z-dn.net/?f=%3D38.5)
Now,
Total weekly salary = Fixed weekly salary + Commission
![=475+38.5](https://tex.z-dn.net/?f=%3D475%2B38.5)
![=513.5](https://tex.z-dn.net/?f=%3D513.5)
Therefore, the total weekly salary is $513.5.
To answer this question, an assumption must be made, that Eva spends 8 hours a day working. If this is the case, then Eva will complete jobs w, x, and v on day one, for a total of six hours. Since the next job (y) requires 4 hours, she will spend two hours working that day, leaving 2 more hours to go on that job. The next day she will spend 2 hours finishing job y, completing it, and finish the longest job z (hours) that day. This means she had 4 jobs on day one, and 2 jobs on day 2 for and average of 3 jobs per day.
This answer assumes an 8 hour work day, and that Eva can start a job she cannot finish that day.
The answer is 80 square meters.
The square area is expressed as:
A = a²,
where A is the area of the square, and a is the side of the square.
The rectangle area is expressed as:
A₁ = a₁ · b₁,
where A₁ is the area of the rectangle, and a₁ and b₁ are the sides of the rectangle.
After renovations, square garden becomes rectangular.
One side is doubled in length:
a₁ = 2a
The other side is decreased by three meters.
b₁ = a - 3
The new area is 25% than the original square garden:
A₁ = A + 25%A =
= A + 25/100·A
= A + 1/25·A
= a² + 1/25·a²
= <span>a² + 0.25·a²
</span> = 1.25·a²
If the starting equation is:
A₁ = a₁ · b₁
Thus, the equation is:
1.25a² = 2a·(<span>a - 3)
</span>1.25a² = 2a · a - 2a · 3
1.25a² = 2a² - 6a
<span>Therefore, the equation that could be used to determine the length of a side of the original square garden is:
</span><u>2a² - 6a = </u><span><u>1.25a²</u></span>
Now, we will solve the equation:
2a² - 6a = 1.25a²
2a² - 1.25a² - 6a = 0
0.75a² - 6a = 0
⇒ a(0.75a - 6) = 0
From here, one of the multiplier must be zero - either a or (0.75a - 6). Since a could not be zero, (0.75a - 6) is:
0.75a - 6 = 0
0.75a = 6
a = 6 ÷ 0.75
a = 8
If the side of the square is 8, then the area of the rectangle is
A₁ = 1.25 · a²
A₁ = 1.25 ·8²
A₁ = 1.25 · 64
A₁ = 80
Therefore, the area of the new rectangle garden is 80 square meters.
this is the segment addition
QB + BR = QR
QB + 16.9 = 51.5
QB = 51.5 - 16.9
QB = 34.6
Ana es diseñadora
nosotros somos muy delgados
El -es- astronauta
:))