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Ksju [112]
3 years ago
11

A salesperson earns a salary of $40,000 per year plus 7% commission on sales of $120,000. what is his total income?

Mathematics
1 answer:
lesya [120]3 years ago
5 0
40,000 + 0.07(120,000) =
40,000 + 8,400 =
$ 48,400 per year <===
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Which ordered pairs are solutions to the inequality y−4x≤−6 ?
amid [387]

I think it is A, (-2,-14)

7 0
3 years ago
Sketch a graph that is discrete, has a maximum, does not pass through the origin, and is an absolute value function
Stella [2.4K]
Um.. I can't sketch a graph on here.
A discrete function can't be an absolute value function because an absolute value function is continuous. But, the function equation can be as simple as
f(x) = - | x + 1 |
Just don't connect the dots when you draw it and boom, you're done.
6 0
3 years ago
How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x​
Fofino [41]

Answer:

x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}

Step-by-step explanation:

We are given the function:

f(x)=-4x^5-8x^3+12x

And we want to finds its zeros.

Therefore:

0=-4x^5-8x^3+12x

Firstly, we can divide everything by -4:

0=x^5+2x^3-3x

Factor out an x:

0=x(x^4+2x^2-3)

This is in quadratic form. For simplicity, we can let:

u=x^2

Then by substitution:

0=x(u^2+2u-3)

Factor:

0=x(u+3)(u-1)

Substitute back:

0=x(x^2+3)(x^2-1)

By the Zero Product Property:

x=0\text{ and } x^2+3=0\text{ and } x^2-1=0

Solving for each case:

x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}

Therefore, our real and complex zeros are:

x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}

4 0
3 years ago
What are reasons A,B,and C in the proof?
Vlad [161]

Answer:

Option D is correct.

Explanation:

Commutative Property of Multiplication define that two numbers can be multiplied in any order.

i.e a\times b =b \times a

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

a \times (b+c) = a\times b+ a\times c

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.

Given:

A = ( 4\times 3) + (2 \times 4 )= ( 4\times 3) + (4 \times 2 )

B = 4 \times ( 3+2)

C = 4 \times 5

then;

( 4\times 3) + (2 \times 4 )

Using Commutative property of Multiplication we can write 2 \times 4 = 4 \times 2 then we have;

( 4\times 3) + (2 \times 4 ) = ( 4\times 3) + (4 \times 2 )

Using Distributive property of multiplication;

( 4\times 3) + (4 \times 2 ) = 4 \times ( 3+2)

by using associative property of multiplication ,

4 \times (3+2) = 4 \times 5

Therefore, the reasons  for A , B and C in this proof are;

A.commutative property of multiplication

B. distributive property

C. associative property of multiplication



6 0
3 years ago
Dan is fertilizing his garden. The garden is in the shape of a rectangle. it's length is 16 feet and it's width is 13 feet. supp
Sergeu [11.5K]

Answer:

Step-by-step explanation:

16ft(13ft)(b/26ft^2)=8b

So he’ll need 8 bags

4 0
3 years ago
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