A machine costs 7500. Its value decreases by 5% every year due to usage. what will be its price after 1 year?

What is the difference of the two polynomials? (7y2 + 6xy) – (–2xy + 3)

Paraphin [41]

(7y2 + 6xy) – (–2xy + 3)

7y^2 + 6xy +2xy +3

7y^2 +8xy +3

8xy + 7y^2 +3

4 0

2 years ago

A four-person committee is chosen from a group of eight boys and six girls. If students are chosen at random, what is the probab

Lapatulllka [165]

Answer: 0.07

Step-by-step explanation:

in the group, we can have only 4 persons.

we have 8 boys, and 6 girls.

We want to find the probability that in the comite we have only boys.

Ok, for the first selection, the probability of selecting a boy is equal to the number of boys divided the total number of the group ( 8 + 6 = 14) this is

p1 = 8/14.

For the second selection we do the same, but we already slected a boy, so now the number of boys is 7, and the total number of posibilities is 13.

p2 = 7/13.

for the third selection we do the same, in this case the probability is

p3 = 6/12

for the fourth selection the probability will be:

p4 = 5/11

The joint probability, of all the events happening at the same time, is equal to the product of the singular probabilities:

P = p1*p2*p3*p4 = (8/14)*(7/13)*(6/12)*(5/11) = 0.07

4 0

2 years ago

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Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $

nlexa [21]

Answer:

$4.84

Step-by-step explanation:

Given that

For delivery within $1\frac{1}2$ mi, charges = $1.25

For delivery within $1\frac{1}2$ mi - $1\frac{3}4$ mi, charges = $1.70

For delivery within $1\frac{3}4$ mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2 $\frac{1}4$ mi, charges = $2.60

For delivery within 2 $\frac{1}4$ mi - 2 $\frac{1}2$ mi, charges = $3.05

For delivery within 2 $\frac{1}2$ mi - 2 $\frac{3}4$ mi, charges = $3.50

For delivery within 2 $\frac{3}4$ mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3 $\frac{1}4$ mi, charges = $4.40

So, every 0.25 mi or $\frac{1}4$ mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of $3\frac{1}8$ miles lies within the range 3 mi - 3 $\frac{1}4$ mi.

So actual charges after increase of 10%

$\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}$

6 0

2 years ago

How did advances in military technology after the industrial revolution affect European empires?

mafiozo [28]

Answer:

They allowed small European armies to defeat larger African and Asian forces when invading territory.

Step-by-step explanation:

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2 years ago

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Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"?

meriva

The composition of transformations that maps figure ABCDE to figure ${\text{A''B''C'D''E''}}$ is $\boxed{{\text{a reflection about line }}m{\text{ the rotate 18}}{{\text{0}}^ \circ }}.$

Further explanation:

The rule of transformation of the coordinates can be expressed as follows,

$\boxed{\left( {x,y} \right) \to \left( {kx,ky} \right)}$

Isometry is a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.

Explanation:

In isometric transformation the shape of the original and the image remains the same and the size of the image is same as the original.

From the attached figure it has been observed that the composition of transformations that maps figure ABCDE to figure ${\text{A''B''C'D''E''}}$ is first reflect the polygon ABCDE about line $m$ and then rotate about 180 degree anti clockwise.

The composition of transformations that maps figure ABCDE to figure ${\text{A''B''C'D''E''}}$ is $\boxed{{\text{a reflection about line }}m{\text{ the rotate 18}}{{\text{0}}^ \circ }}.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: image vertices, triangle, dilated, lies, same line, shift four units, left, pre-imaged, dilation, center, scale factor, four, coordinates, x-coordinates, y-coordinate, transformation rule.

4 0

2 years ago

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A machine costs 7500. Its value decreases by 5% every year due to usage. what will be its price after 1 year?​

A machine costs 7500. Its value decreases by 5% every year due to usage. what will be its price after 1 year?