Chase wants to earn at least $900 this month in commission. What is the minimum amount he needs to sell in order to earn $900 it he earns a 3.3% commission on everything he sells? Round to the nearest dollar.

Marvin Mccormick

Marvin Mccormick

Answered question

2021-01-13

Chase wants to earn at least $900 this month in commission. What is the minimum amount he needs to sell in order to earn $900 it he earns a 3.3% commission on everything he sells? Round to the nearest dollar.

Answer & Explanation

Viktor Wiley

Viktor Wiley

Skilled2021-01-14Added 84 answers

Let x (in dollars) be the amount sold so that the commission is given by 0.033x. To earn $900, we equate this expresion to 900 and solve for x:
0.033x=900
Divide both sides by 0.033: x=9000.033
To the nearest dollar,
x27272.73$27.273
star233

star233

Skilled2023-05-26Added 403 answers

The equation can be written as:
900=0.033x
In this equation, we're multiplying the commission rate (0.033) by the amount Chase needs to sell (x) to get his commission.
To solve for x, we can divide both sides of the equation by 0.033:
9000.033=0.033x0.033
Simplifying the right side of the equation:
9000.033=x
Evaluating the left side of the equation, we can calculate the minimum amount Chase needs to sell:
x27,273
Rounding to the nearest dollar, we find that Chase needs to sell at least 27,273 in order to earn 900 in commission this month.
Therefore, the minimum amount Chase needs to sell is approximately 27,273.
alenahelenash

alenahelenash

Expert2023-05-26Added 556 answers

Answer:
27,273
Explanation:
We know that Chase earns a 3.3% commission on everything he sells. This means that his commission is calculated as 3.3% of the total sales amount. In mathematical terms, the commission earned (C) can be expressed as:
C=0.033x
We also know that Chase wants to earn at least 900 in commission. So, we can set up the following equation:
C900
Substituting the value of C in terms of x, we get:
0.033x900
To find the minimum amount Chase needs to sell, we can solve this inequality for x.
x9000.033
Evaluating the right-hand side of the equation, we get:
x27,272.727
Rounding this value to the nearest dollar, we find that Chase needs to sell at least 27,273 worth of products in order to earn 900 in commission.
Therefore, the minimum amount Chase needs to sell is 27,273.
user_27qwe

user_27qwe

Skilled2023-05-26Added 375 answers

Step 1:
To solve the problem, let's assume the minimum amount Chase needs to sell in order to earn 900 is represented by x.
We know that Chase earns a 3.3% commission on everything he sells. This means that he earns 3.3% of the total sales amount.
To calculate the commission Chase earns, we can multiply the sales amount (x) by 3.3% (or 0.033 in decimal form):
Commission=0.033·x
We also know that Chase wants to earn at least 900 in commission. So we can set up the following equation:
Commission900
Step 2:
Substituting the expression for commission, we have:
0.033·x900
To find the minimum amount Chase needs to sell (x), we can solve this inequality. To isolate x, we can divide both sides of the inequality by 0.033:
0.033·x0.0339000.033
Simplifying:
x9000.033
Now, we can calculate this value:
x27272.73
Rounding to the nearest dollar, Chase needs to sell at least 27,273 to earn a commission of 900.

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