MATHEMATICS COLLEGE

Joyce Flynn, an insurance agent, earned in her first week on the job a commission of $1,800. Her commission percent is 30 percent. Joyce's total sales for the week was:

Answers

Answer 1

Answer: if 1800 is the 30% of the total, so 1800 / .30 = 6,000

Answer 2

Answer:

Using the provided information, it is determined that $6000 was Joyce's total weekly sales.

What does the percent mean?

Percent, which is a relative value used to denote hundredths of any quantity.
Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

What is the significance of percentage?

Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages.

Given:

An insurance agent named Joyce Flynn made a commission of $1,800 in her first week on the job. She receives a 30% commission.

We need to find the total sales for the week.

Let, x = total commission

Since, 30% of total commission is 1800. So, total sales will be:

x = 1800/0.30 = 6000

Therefore, Joyce's total sales for the week is found to be $6000 by using the given data.

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As a quality control manager for her distributing company, Zoe has 875.23 pounds of apples where she found 143.875 pounds of apples were rotten. How many pounds of fresh apples does she have? show your work.

Amanufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)

Answers

Answer:

Step-by-step explanation:

At a certain car dealership, 20% of customers who bought a new vehicle bought an SUV, and 3% of them bought a black SUV (that is 3% of customers bought a vehicle that was an SUV and in black color). Given that a customer bought an SUV, what is the probability that it was black?

Answers

Answer: 0.15

Step-by-step explanation:

As per given , the probability that customers who bought a new vehicle bought an SUV : P(SUV) = 0.20

The probability that customer bought a vehicle that was an SUV and in black color : P(SUV and black) =0.03

Now by suing conditional probability formula,

If we have given that a customer bought an SUV, then the probability that it was black will be :

$\text{P(Black}|\text{SUV})=\frac{\text{P(SUV and Black)}}{\text{P(SUV)}}$

$=(0.03)/(0.20)=(3)/(20)=0.15$

Hence, the required probability is 0.15.

The probability that a customer who bought an SUV also bought a black SUV is 0.006, or 0.6% (expressed as a percentage).

To find the probability that a customer who bought an SUV also bought a black SUV, you can use conditional probability.

Let's define the following events:

A: A customer bought an SUV.

B: A customer bought a black SUV.

You are given that P(B|A) is the probability that a customer who bought an SUV also bought a black SUV, which is 3% or 0.03.

You want to find P(B|A), the probability that a customer who bought an SUV also bought a black SUV. You can use the following formula for conditional probability:

P(B|A) = (P(A and B)) / P(A)

Here, P(A and B) is the probability that a customer bought both an SUV and a black SUV, and P(A) is the probability that a customer bought an SUV.

You know that P(B|A) = 0.03 and P(A) = 0.20.

Now, you need to find P(A and B), the probability that a customer bought both an SUV and a black SUV. You can rearrange the formula:

P(A and B) = P(B|A) * P(A)

P(A and B) = 0.03 * 0.20

P(A and B) = 0.006

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Simplify the polynomial

Answers

The polynomial after simplification is obtained as $5 x^(2)$ + 9x + 3.

What issimplification?

In mathematics, reducing an expression, fraction, or problem to a simpler form is referred to as simplification. With calculations and solution, the problem is made simple. Make something simpler by simplifying it.

We are given a polynomial as

5x - 5 + $11 x^(2)$ + 4x - $6 x^(2)$ + 8

Now, in order to simplify the given polynomial, we will combine the like terms of the polynomial.

On combining the like terms, we get

$5 x^(2)$ + 9x + 3

Hence, the polynomial after simplification is obtained as $5 x^(2)$ + 9x + 3.

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5. Expla in why 4 is or is not a multiplicative inverse mod 10 of 7.

Answers

Answer:

4 is not. (3 is)

Step-by-step explanation:

A number is the multiplicative inverse of 7 (mod 10) if the product mod 10 is 1.

7 × 4 mod 10 = 28 mod 10 = 8 . . . . not 1

What is the premieter of this red polygon

Answers

Answer:

338 in

Step-by-step explanation:

If each of the measures shown is the measure from the vertex to the point of tangency, then that measure contributes twice to the perimeter (once for each leg from the vertex to a point of tangency).

2(22 in + 27 in + 22 in + 98 in) = 2(169 in) = 338 in

What is the greatest common factor of 5x^6+35x^4+15x^3