What is the complete factorization of the polynomial below? 3 + 4x2

Part B A sales person earned 1375

Furkat [3]

Question:

A salesperson earns commission on the sales that she makes each month.

The salesperson earns a 5% commission on the first $5,000 she has in sales.

The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.

Part A:

This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?

Part B:

The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?

Answer:

A) The amount of commission = $575

B) The total sales amount = $20000

Step-by-step explanation:

Given:

Total amount earned = $8,000 in sales

To Find :

The amount of commission, in dollars

Solution:

The commission she earns = Commission 1+ Commission 2----------(1)

Commission 1 = 5% of 5000

Commission 2 = 7.5 % of (8000- 5000}

Finding commission 1:

= 5% of 5000

= $\frac{5}{100} \times 5000$

= $0.05 \times 5000$

= $250 ------------------------------(2)

Finding commission 2:

= 7.5 % of (3000)

= $\frac{7.5}{100}\times 3000$

= $0.075 \times 3000$

= $225----------------------------------(3)

Substituting (2) and (3) in (1)

The commission she earns = $250 + $225 = $575

Given:

Total commission earned = $1375

To Find :

The total sales amount = ?

Solution ;

Let the sales amount be x

Then

1375 = 5% of 5000 + 7.5 % of (x -5000)

$1375 = 0.05 \times 5000 + 0.075 \times (x -5000)$

1375 = 250 + 0.075x - 375

1375 = -125 + 0.075 x

1375 +125 = 0.075 x

1500 = 0.075x

$x = \frac{1500}{0.075}$

x = 20000

The total sales amount is $20000

5 0

3 years ago

What us 1/10 of 3,000

s344n2d4d5 [400]

1/10 of 3,000 is 300. Just divide by 10 to get the answer

5 0

2 years ago

easy car rental charges $40 a day plus $.25 per mile race. rent a car charges $25 a day plus $.45 per mile. what number of miles

DiKsa [7]

A: cost= 3*55+.35m
B: cost=3*50+.40m

set the costs equal, and solve for m.

6 0

3 years ago

The rectangle below has an area of x² – 6x – 7 square meters and a width of 3 – 7 meters.

natta225 [31]

Answer:

The expression which represent the length of the rectangle is x + 1

Step-by-step explanation:

Given as :

The Area of rectangle = x² - 6 x - 7 square meters

The width of the rectangle = w = x - 7 meters

Let The length of rectangle = L meters

Now, <u>According to question</u>

∵ Area of Rectangle = Length × width

or, x² - 6 x - 7 meters² = L meters × w meters

or, x² - 6 x - 7 = L × (x - 7)

or, x² - 7 x + x - 7 = L × (x - 7)

or, x (x - 7) + 1 (x - 7) = L × (x - 7)

or, (x - 7) (x + 1) = L × (x - 7)

∴ L = $\frac{(x - 7)\times (x + 1)}{(x - 7)}$

I,e L = x + 1

So, The length of rectangle = L = x + 1

Hence,The expression which represent the length of the rectangle is x + 1 Answer

8 0

2 years ago

A small jet can carry up to 44 passengers and 3 crew members. There is a weight restriction of 9200 pounds on board. The combine

Agata [3.3K]

Answer:

2.89 percent chance

Step-by-step explanation:

so first if you divide 9200 and 47 you get a total of 195.74 .now if you combine the weight of each passenger and crew memeber and their luggage it has a mean of 200.4 pounds with a standard deviation of 69.3 pounds so their is a 2.89 percent chance im sure if not shoe me the nswers and i will give you th correct answer

7 0

3 years ago

What is the complete factorization of the polynomial below? 3 + 4x2 - X-4​

What is the complete factorization of the polynomial below? 3 + 4x2 - X-4