All categories

4 years ago

Iris is a saleswoman whose base pay plus commissions amounted to

Mathematics

1 answer:

Anit [1.1K]4 years ago

7 0

Answer:

Step-by-step explanation:

38% (Answer C)

Her $69,464 total pay was made up of $39,710 base pay and commissions.

Subtracting the latter figure from the former, we get $29,754, the amount of commissions Iris earned.

Determine what percentage of the $78,300 in sales is represented by this $29,754 in commissions:

$29,754

--------------- * 100% = 38% (Answer C)

$78,300

You might be interested in

Consider the following two ordered bases of R3:

grigory [225]

Answer:

Let $A = (a_1, ..., a_n)$ and $B = (b_1, ..., b_n)$ bases of V. The matrix of change from A to B is the matrix n×n whose columns are vectors columns of the coordinates of vectors $b_1, ..., b_n$ at base A.

The, we case correspond to find the coordinates of vectors of C,

$\{\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right], \left[\begin{array}{ccc}2\\0\\-1\end{array}\right], \left[\begin{array}{ccc}-3\\1\\2\end{array}\right] \}$

at base B.

1. We need to find $a,b,c\in\mathbb{R}$ such that

$\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]$

Then we find these values solving the linear system

$\left[\begin{array}{cccc}1&-2&2&2\\-1&2&-1&-1\\0&-1&1&-1\end{array}\right]$

Using rows operation we obtain the echelon form of the matrix

$\left[\begin{array}{cccc}1&-2&2&2\\0&-1&1&-1\\0&0&1&1\end{array}\right]$

now we use backward substitution

$c=1\\-b+c=-1,\; b=2\\a-2b+2c=2,\; a=4$

Then the coordinate vector of $\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right]$ is $\left[\begin{array}{ccc}4\\2\\1\end{array}\right]$

2. We need to find $a,b,c\in\mathbb{R}$ such that

$\left[\begin{array}{ccc}2\\0\\-1\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]$

Then we find these values solving the linear system

$\left[\begin{array}{cccc}1&-2&2&2\\-1&2&-1&0\\0&-1&1&-1\end{array}\right]$

Using rows operation we obtain the echelon form of the matrix

$\left[\begin{array}{cccc}1&-2&2&2\\0&-1&1&-1\\0&0&1&2\end{array}\right]$

now we use backward substitution $c=2\\-b+c=-1,\; b=3\\a-2b+2c=2,\; a=4$

Then the coordinate vector of $\left[\begin{array}{ccc}2\\0\\-1\end{array}\right]$ is $\left[\begin{array}{ccc}4\\3\\2\end{array}\right]$

3. We need to find $a,b,c\in\mathbb{R}$ such that

$\left[\begin{array}{ccc}-3\\1\\2\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]$

Then we find these values solving the linear system

$\left[\begin{array}{cccc}1&-2&2&-3\\-1&2&-1&1\\0&-1&1&2\end{array}\right]$

Using rows operation we obtain the echelon form of the matrix

$\left[\begin{array}{cccc}1&-2&2&-3\\0&-1&1&2\\0&0&1&-2\end{array}\right]$

now we use backward substitution $c=-2\\-b+c=2,\; b=-4\\a-2b+2c=2,\; a=-2$

Then the coordinate vector of $\left[\begin{array}{ccc}-3\\1\\2\end{array}\right]$ is $\left[\begin{array}{ccc}-2\\-4\\-2\end{array}\right]$

Then the change of basis matrix from B to C is

$\left[\begin{array}{ccc}4&4&-2\\2&3&-4\\1&2&-2\end{array}\right]$

4 0

4 years ago

How does division affect numbers? Give an example and explain the your example and answer

Alja [10]

Division affects numbers by splitting them up into neat little groups.

For example, we can say we have 68 marbles and want to split them into 4 piles. For this, we can make the division problem 68 / 4 = ?

In this example, we are saying that we are splitting 68 marbles into 4 even groups. If we are doing it evenly, how many marbles are in each pile?

68 / 4 = 17

There are 17 marbles in each of the 4 piles. We can check our work by adding:

17 + 17 + 17 + 17 = 68

And the math checks out.
Hope this helped =)

4 0

4 years ago

How many ounces are in 5 gallons?

Serhud [2]

Answer:

640

Step-by-step explanation:

there is 1 gallon for every 128 ounces

so 1 gal= 128z

to find 5gal= ?oz

you multiply 128 by 5 which gives u 640

which gives u 640 oz

hope this helps

6 0

3 years ago

Read 2 more answers

The sales tax rate is 8% how much money is 8% of $14

Leona [35]

Answer: $1.12

Explanation:

6 0

3 years ago

George went to the history museum last weekend and saw a teepee that was 8 feet tall, and the base had a radius of 4 feet. What

Simora [160]

The volume of a cone equation is: <span>V = (1/3)πr^2h. Therefore plugging in the provided information, you get the answer of: 134.04 (Answer choice B) Hope this helps :)</span>

3 0

3 years ago