The office manager of First Tech Support borrowed $25,000 to purchase new computers for employees. The bank charges 6 percent interest for 4 years. How much interest will the company pay in all?

Answer:

x < 2

Step-by-step explanation:

Given

5(x - 2) < - 3x + 6 ← distribute parenthesis on left side

5x - 10 < - 3x + 6 ( add 3x to both sides )

8x - 10 < 6 ( add 10 to both sides )

8x < 16 ( divide both sides by 8 )

x < 2

Hey there!☺

[tex]Answer:\boxed{x<2}[/tex]

[tex]Explanation:[/tex]

Let's start by simplifying both sides of the inequality:

[tex]5x-10<-3x+6[/tex]

Now add 3x to both sides:

[tex]5x-10+3x<-3x+6+3x\\8x-10<6[/tex]

In our third step, we will add 10 to both sides:

[tex]8x-10+10<6+10\\8x<16[/tex]

In our last step, we will divide both sides by 8:

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]

Simplify 16/8:

[tex]\frac{16}{8}=2\\ x<2[/tex]

x<2 is your answer.

Hope this helps!☺

[tex]\text{-TestedHyperr}[/tex]

Answer:

Which function is a translation of the parent absolute value function

Step-by-step explanation:

f(x)=|x+6|

Answer: B

f(x)= |x+6|

Answer:

y = -12/(4d - 7d)

Step-by-step explanation:

Step 1: Write equation

4dy + 12 = 7dy

Step 2: Solve for y

Subtract 7dy on both sides: 4dy + 12 - 7dy = 0

Subtract 12 on both sides: 4dy - 7dy = -12

Factor out y: y(4d - 7d) = -12

Divide both sides by 4d - 7d: y = -12/(4d - 7d)

Hello! :)

First thing you do is add -7dy to both sides

4dy + 12 + -7dy = 7dy + -7dy

-3dy + 12 = 0

Next you will have to add -12 to both sides

-3dy + 12 + -12 = 0 + -12

-3dy = -12

Last thing you have to do is divide both sides by -3d

-3dy/-3d = -12/-3d

y = 4/d (ANSWER)

Answer:

13.7

Step-by-step explanation:

Hope this helps

Answer:

The answers are A, B, E

Step-by-step explanation:

C and D are less but not greater than-1.6

Answer:

it depends on the method bro for substitution first substitute the x

Answer:

A i belive

Step-by-step explanation:

Answer: [tex](f+g)(x)=2x^{2} +x+4[/tex]

Step-by-step explanation:

Add both of the functions together

[tex](2x^{2} -3x)+(4x+4)\\2x^{2} +x+4[/tex]

Answer:

I believe it is $1.60 a pound but i'm not sure.

Step-by-step explanation:

Answer:

rational numbers are numbers that can be written as the ratio of two integers

Answer:

ASA

Step-by-step explanation:

i think

Answer:

81

Step-by-step explanation:

[tex] \frac{x}{9} = 9[/tex]

is also equal to

[tex]x \div 9 = 9[/tex]

so to find x, we need to remove (÷9) and so in order to do so, we multiply 9 on both sides and thus it is 81.

Answer: 4746.09375 dollars (just round down to nine cents)

Step-by-step explanation:

The revenue in the 5th night in two will be $4746.093.

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

Revenue in the first night = $15000

Since revenue of new night is 75% of the previous night

So,

2nd night = 15000 × 75/100 = 11250

3rd night = 8437.5

So the given sequence is ;

15000, 11250, 8437.5 ... it is a GP series.

First term(a) = 15000

Common ratio(r) = 11250/15000 = 0.75

The nth term of a GP is given by ;

[tex]a_{n} = ar^{n-1}[/tex]

So for 5th-night n = 5

So,

a₅ = ar⁵⁻¹

a₅ = 15000(0.75)⁴

a₅ = 4746.093

Hence "The revenue in the 5th night in two will be $4746.093".

For more information about the geometrical progression,

brainly.com/question/4853032

#SPJ2

Answer:1:2

Step-by-step explanation:

it is this answer because you have 2 circles for 4 triangles, you can simplify that by dividing each number by 2 and you get 1 and 2

Answer:

1:2

Step-by-step explanation:

it would originally be 2:4 But both are divisible by 2 so they simplify down to 1:2........2÷2=1 and 4÷2=2 since the ratio has to be circles to triangle the 1 goes first then the 2

Answer:

The answer should be D. $20.25+$5.25x; $99

Step-by-step explanation:

y=mx+b

m=$5.25

x=15

b=$20.25

This gives us:

5.25x + 20.25

5.25(15)+20.25

78.75+20.25

y=99

Answer: 20.25 + 5.25x ; 99

Hope this helps!

Answer:

XM = 1 unit

Step-by-step explanation:

It is given that, M is the midpoint in the segment.

Midpoint bisects the lines such that,

XM = MY

Put XM = x+2 and MY = 2x+3

x+2=2x+3

Taking like terms together,

x-2x=3-2

-x=1

x = -1

Put x = -1 in XM = x+2

(-1) + 2 = 1 = XM

So, the value of XM is 1 unit.

Answer:

there you see nothing

Step-by-step explanation:

Answer:

there you say nothing to do it for me

Answer:

a=118

b=64

q=84

v=84

Step-by-step explanation:

b=62

a=18-=b

a=180-62

a=118

q=180-s or r

q=180-96

q=84

v=q

v=84

Answer:

See below

Step-by-step explanation:

Angle 4 is exterior angle of the triangle and as per definition:

Angle 4 is supplementary with angle 3, they sum up to straight angle of 180°

Answer:

Each banana would weigh ¼ of a pound

Step-by-step explanation:

If there are three bananas that all equal ¾ of a pound, then ¾÷3=¼

Answer:

c

Step-by-step explanation:

Answer:The Mann-Whitney U test is used to compare differences between two independent groups when the dependent variable is either ordinal or continuous, but not normally distributed. ... The Mann-Whitney U test is often considered the nonparametric alternative to the independent t-test although this is not always the case.

Step-by-step explanation:that would de why

Answer:

The equation of the parabola that models the path of the long jumper through the air is [tex]y = -x^{2}+12\cdot x -27[/tex].

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex]

Where:

[tex]x[/tex] - Horizontal distance from the start line, measured in meters.

[tex]y[/tex] - Height of the long jumper, measured in meters.

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Polynomial constants, measured in [tex]\frac{1}{m}[/tex], dimensionless and meters, respectively.

If we know that [tex](x_{1},y_{1}) = (3\,m, 0\,m)[/tex], [tex](x_{2},y_{2}) = (8\,m, 0.05\,m)[/tex] and [tex](x_{3}, y_{3}) = (9\,m, 0\,m)[/tex], this system of linear equations is presented below:

[tex]9\cdot a + 3\cdot b + c = 0[/tex] (Eq. 1)

[tex]81\cdot a + 9\cdot b + c = 0[/tex] (Eq. 2)

[tex]64\cdot a + 8\cdot b + c = 0.05[/tex] (Eq. 3)

The coefficients of the polynomial are, respectively:

[tex]a = -\frac{1}{100}[/tex], [tex]b = \frac{3}{25}[/tex], [tex]c = -\frac{27}{100}[/tex]

The equation of the parabola that models the path of the long jumper through the air is [tex]y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}[/tex].

But we need [tex]y[/tex] measured in centimeters, then, we use the following conversion:

[tex]y = 100\cdot y'[/tex]

Then, we get that:

[tex]y = -x^{2}+12\cdot x -27[/tex]

Where [tex]x[/tex] and [tex]y[/tex] are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is [tex]y = -x^{2}+12\cdot x -27[/tex].

Answer:

12/7

Step-by-step explanation:

The value of the expression as a fraction is 12/7.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

6/7 ÷ 1/2

This can be written as,

= (6/7) / (1/2)

= (6 x 2)/7

= 12/7

Thus,

The value is 12/7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

14:25 is the ratio

Answer:

25 : 14

Step-by-step explanation:

If there are 25 circles

               &

14 hearts, the ratio is 25 : 14

Answer:

a. S = 1.5C

b. C = $200

Step-by-step explanation:

Firstly, we want to write an equation using retail cost of watch and s for sale price

From the question, we are looking at a markup of 50%

Mathematically therefore;

S = C + (50/100 * c)

S = C + 0.5C

S = 1.5C

Now we want to calculate the cost to the retailer given that the watch was sold as $300 by the retailer

We use the equation:

S = 1.5C

300 = 1.5C

C = 300/1.5

C = $200