José and Maris work for different car dealerships. José earns a monthly salary of $3,500 plus a 8% commission on sales. Maris earns a monthly salary of $3,900 plus a 6% commission on sales. Above what value of sales are José's monthly earnings more than those of Maris?

Answers

Answer 1

Answer: When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

Step-by-step explanation:

Let  x= Total sales

For José, monthly salary = $3,500

Commission percentage =  8% =0.08

Monthly earnings= Monthly salary + (Commission percentage) x (Total sales)

Monthly earnings= 3500 +0.08 x

For Maris, monthly salary = $3,900

Commission percentage =  6%

Monthly earnings= 3900 +0.06 x

When José's monthly earnings > Maris's monthly earnings

then, 3500 +0.08 x > 3900 +0.06 x

Subtract 3500 from both sides, we get

0.08 x > 400+0.06x

Subtract 0.06x from both sides, we get

0.02x>400

Divide both sides b 0.02

x> 20000

When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.


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Answer:

4 + x²

Step-by-step explanation:

Given problem:

    4 more then a number squared

Problem:

  Give the expression form;

Solution:

  Let the number x;

So;

   4 more than x squared:

          4 + x²

   

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no its is not proportion

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Answer:

x ≥ 15

Step-by-step explanation:

5x + 3 ≥ 48

Group like terms

5x ≥ 48 – 3

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5x/5 ≥ 45/5

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See attachment for math work and answer.

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Step-by-step explanation:

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Answer:

2,1 .     4,4 .     5,2

Step-by-step explanation:

Answer:

a' (2,1)

b'(4,4)

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Step-by-step explanation:

So the <a'b'c' is <abc translated 1 unit to the right and 4 units up. Whenever it says to move to the right or the left it has to do with the x axis. When you move to the left its subtraction and when you move to the right you addition.

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

I'm sorry if this is wrong

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Answer:

$216

Step by step

Explanation:

First we subtract  $ 20 from  $ 84  giving us a total of  $ 64 and when we add that to  $ 152  we get  $ 216

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer: 8¹⁰

Explanation: Since these two powers have the same base of 8, you can

multiply them together by simply adding their exponents to get 8¹⁰.

A common mistake in this problem would be to

multiply the bases together and give an answer of 64¹⁰.

It's important to understand however that the 8's can't be

multiplied together because they are not coefficients, they are bases.

When applying your exponent rules, your base will never change.

Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are substituted into mathematical inequalities. For instance, an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur is |h − (2.47f + 54.10)| ≤ 3.72. Use this inequality to estimate the possible range of heights, rounded to the nearest 0.1 centimeter, for an adult female whose femur measures 32.25 centimeters.

Answers

Answer:

[tex]130.2845\leq h\leq 137.7245[/tex]

Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

[tex]|h - (2.47f + 54.10)| \leq 3.72[/tex]

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

[tex]|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\[/tex]

If the modulus function is positive then:

[tex]h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245[/tex]

If the modulus function is negative then:

[tex]-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\[/tex]

multiply through by -1

[tex]-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h[/tex]

combining the resulting inequalities, the estimate of the possible range of heights will be [tex]130.2845\leq h\leq 137.7245[/tex]

HI HELP ME PLEASEEE!’

Answers

We're given

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(3, 16/3)

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[tex]f(x) = 144*(\frac{1}{3})^x[/tex]

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is a value that does not change​

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Answer:

An)  is a value that does not change​?  yes

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

1. If its radius is 2 inches, the height is 36 inches.

2. If its radius is 2 inches, the height is 16 inches.

3. If its radius is 2 inches, the height is 4 inches.

Step-by-step explanation:

Here is the complete question:

There are many cylinders with a volume of 144[tex]\pi[/tex] cubic inches. The height [tex]h(r)[/tex] in inches of one of these cylinders is a function of its radius [tex]r[/tex] in inches where [tex]h(r) =\frac{144}{r^{2} }[/tex] .

1. What is the height of one of these cylinders if its radius is 2 inches?

2. What is the height of one of these cylinders if its radius is 3 inches?

3. What is the height of one of these cylinders if its radius is 6 inches?

Step-by-step explanation:

1. To determine the height of one of the cylinders if its radius is 2 inches,

From the question,

Since height [tex]h(r)[/tex] of one of these cylinders is a function of its radius [tex]r[/tex], and

[tex]h(r) =\frac{144}{r^{2} }[/tex]

Then, when r = 2 inches

[tex]h(r) =\frac{144}{2^{2} }[/tex]

[tex]h(r) =\frac{144}{4 }[/tex]

[tex]h(r) = 36 inches[/tex]

Hence, the height is 36 inches

2. To determine the height of one of the cylinders if its radius is 3 inches,

Again,

[tex]h(r) =\frac{144}{r^{2} }[/tex]

Then, when r = 3 inches

[tex]h(r) =\frac{144}{3^{2} }[/tex]

[tex]h(r) =\frac{144}{9 }[/tex]

[tex]h(r) = 16 inches[/tex]

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3. To determine the height of one of the cylinders if its radius is 6 inches,

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[tex]h(r) =\frac{144}{r^{2} }[/tex]

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[tex]h(r) =\frac{144}{6^{2} }[/tex]

[tex]h(r) =\frac{144}{36 }[/tex]

[tex]h(r) = 4 inches[/tex]

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Answer:

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Answer:

c

Step-by-step explanation:

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Answer:

            a₁ = -1

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1[/tex]

If the 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively, then the 1st term of the sequence is -1

The nth term of an arithmetic sequence is given by the formula:

[tex]a_n=a+(n-1)d[/tex]

The 8th term of the arithmetic sequence is 20

[tex]a_8 = 20\\\\a_8=a+(8-1)d\\\\a+7d=20.......................(1)[/tex]

The 20th term of the arithmetic sequence is 56

[tex]a_{20} = 56\\\\a_{20}=a+(20-1)56\\\\a+19d=56.......................(2)[/tex]

Subtract equation (1) from equation (2)

12d  =  36

d  =  36/12

d  =  3

Substitute d = 3 into equation (1)

a  +  7d  =  20

a  +  7(3)  =  20

a  +  21  =  20

a   =  20  -  21

a  =  -1

The first term of the arithmetic sequence is -1

Learn more here: https://brainly.com/question/18417771

what is the unit rate for $1.99 per pound

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Answer:

1.99 per pound means the cost of 1 pound is 1.99!!

Step-by-step explanation:

Unit rate means the rate of 1 item

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

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Answer: Reflect across the Y and and move it 7 down

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Answer:

3

Step-by-step explanation:

Guys Please HELP ME
If you give me answer quickly, I'll give you brainliest. Please help me (20 points)

Questions
1. Find the density of a cylinder with a height of 4mm, a radius of 4mm, and a mass of 250g

2. Find the density of a sphere with radius of 2m and a mass of 2kg

Answers

Answer:

Step-by-step explanation:

1st one is 62.5 kilogramic meter

2nd one is 1 kilo kilogram/cubic meter

Step-by-step explanation:

1)First calculate the volume

v=Pir²h

v=3.15×4²×4

v=201mm³

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p=0.250/0.201

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Answer:

Answer: 7.93

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A share of stocks gained 12 points, then lost 114 points, and then gained 218 points. Find the overall change in its value.

Answers

Answer:

The overall change is 116points gained

Step-by-step explanation:

Points gained = 12points

Points lost  = 114points

Points gained  = 218points

Unknown:

Overall change in its value  = ?

Solution:

 The overall change  = Total points gained  - Total points lost

                                    = (218 + 12) - 114

                                     = 116points

The overall change is 116points gained

Answer:

its 116

Step-by-step explanation:

12 - 114

-102 + 218 = 116

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