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amid [387]
3 years ago
14

Marcus works as a salesman at a car dealership. He is paid a base salary of $1,268.24 each month, and he receives a commission o

f $145.68 for each vehicle he sells. If last month Marcus earned $7,241.12, how many cars did he sell last month?
Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Marcus sold 41 cars last month.

Step-by-step explanation:

Given,

Per month salary = $1268.24

Commission per vehicle = $145.68

Earning of last month = $7241.12

Commission amount = Earning of last month - salary per month

Commission amount = 7241.12 - 1268.24 = $5972.88

Number of cars sold = \frac{Commission\ amount}{Commission\ per\ vehicle}

Number of cars sold = \frac{5972.88}{145.68}=41

Marcus sold 41 cars last month.

Keywords: subtraction, division

Learn more about subtraction at:

  • brainly.com/question/8782252
  • brainly.com/question/877887

#LearnwithBrainly

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Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

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The statements that are true are;

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Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

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Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

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m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
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Step-by-step explanation:

A quadratic function has the form of ;

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For this case, equation y=0.9673x²-0.8475x+10.4334 models a quadratic function where a>0 thus the parabola opens upwards

See attached figure below to visualize the graph

Learn More

Quadratic functions graphs: brainly.com/question/9048896

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Step-by-step explanation:

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