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dimaraw [331]
3 years ago
10

Kevin makes a base salary of $380 per week plus 4% commission on his total sales as a used car salesman. If

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Multiply the sales by the commission rate and add that to the base salary.

45,000 x 0.04 = 1,800

Total pay = 1800 + 380 = $2,180

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A flock of birds was flying around a tree. When they landed, three birds to a branch, no branches were left and one bird had to
trapecia [35]

Answer: 5 branches and 16 birds.

Step-by-step explanation:

If the number of birds is B, and the number of branches is N.

First we have the equation:

B = 3*N + 1

(3 birds per branch + 1 that was flying around)

for the second equation we have:

B = 4*(N - 1)

(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)

now we can write:

3*N + 1 = 4*(N - 1)

3*N + 1 = 4*N - 4

4 + 1 = 4*N - 3*N

5 = N

So we had 5 branches, now we can replace it in one of the equations and find the number of birds.

B = 3*N + 1 = 3*5 + 1 = 16

6 0
3 years ago
Read 2 more answers
The remainder after diving x^4+3x^3-8x^2+5x-9 by x+5 is ____.
raketka [301]

Use the polynomial remainder theorem. It says that a polynomial f(x) has remainder f(c) upon division by x-c.

Here we have

f(x)=x^4+3x^3-8x^2+5x-9

and c=-5, so the remainder is

f(-5)=(-5)^4+3(-5)^3-8(-5)^2+5(-5)-9=\boxed{16}

6 0
3 years ago
An upper triangular matric is square matrix with all zeros below its daignal. A lower triangular matrix is a square matrix with
AleksandrR [38]

Answer:

U₂₁ and U₂₂ fits in the line of upper triangular

Step-by-step explanation:

As explain in the question

An upper triangular matric is square matrix with all zeros below its daignal. A lower triangular matrix is a square matrix with all zeros above its diagonal.

(as shown in the attached image)

(a)for all 3×3 upper triangular matirices U, verify that U2 is also upper triangular

for a matrices U (having a 3*3 matrix), assuming for example, U is given below:

U = \left[\begin{array}{ccc}1&2&3\\0&5&6\\0&0&9\end{array}\right]

the element in the upper triangular are 1,2,3,5,6,9 (U₁₁, U₁₂, U₁₃; , U₂₂, U₂₃, U₂₂)

while lower triangular are 0,0,0, the element in the lower triangular are (U₂₁, U₃₁,U₃₂)

U₂₁ and U₂₂ fits in the line of upper triangular

8 0
3 years ago
Easy question help please
laiz [17]

Answer:

4 will be you numerator and 5 will be your denominator

8 0
2 years ago
Read 2 more answers
What is the factors of 27
Kaylis [27]

Answer:

1, 27, 3, 9,

Step-by-step explanation:

To find the factors of 27 you need to find which whole number times another whole number = 27

We know that 1*27 = 27

We also know that 3*9 = 27

The factors are all the numbers that are used in the multiplication.

In this example the numbers are: 1, 3, 9 and 27

6 0
3 years ago
Read 2 more answers
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