With the exception of column one, all amounts are in dollars. What is starting principal of the loan? Give your answer in dollars to the nearest dollar. Do not include commas or the dollar sign in your answer.

Answer:

x = -3, 9

Explanation:

First, let us divide both sides of the equation by 10^x; this gives,

subtracting 27 from both sides gives

The left-hand side can be factored as

which gives us two further equations

Hence, the two solutions we get are x = 9 and x = -3.

Area = 300 ft^2

Formula

Area = length of a side x length of a side

Substitution

300 = length of a side ^2

The length of a side is between 17 and 18

Answer:

The length of the side of the square is approximately [tex]17.32[/tex] feet, which lies between the whole numbers [tex]17[/tex] and [tex]18[/tex].

Step-by-step explanation:

Step 1: Assume your variable

Since all the sides of a square are the same, let's consider the side to be the variable: [tex]x[/tex].

Step 2: Create an equation

The formula for the area of a square is:

[tex]\text{Area}=\text{Side}^{2}[/tex]

We have assumed the side to be [tex]x[/tex], and the area is said to be [tex]300[/tex], so substitute these values into the formula:

[tex]\text{Area}=\text{Side}^{2}\\300=x^{2}[/tex]

Step 3: Solve the equation

Using the formula for the area of a square, we came to find an equation:

[tex]x^{2}=300[/tex]

Now, let's find the value of [tex]x[/tex]:

[tex]x^{2}=300\\\\\text{Square root both sides of the equation:}\\\sqrt{x^{2}}=\sqrt{300}\\\\\text{Simplify:}\\x=\sqrt{300}\\\\\text{Calculate:}\\x\approx 17.32[/tex]

The length of the side of the square is approximately [tex]17.32[/tex] feet.

As we know, this number lies between [tex]17[/tex] and [tex]18[/tex].

Answer:

The number is 40.

Step-by-step explanation:

Step 1: Assume your variables

Consider the 'number' to be [tex]x[/tex].

Step 2: Create an equation(s)

The information in the question states that the difference between [tex]\frac{2}{5}[/tex] of [tex]x[/tex] and [tex]9[/tex], is [tex]7[/tex].

Representing this mathematically gives us:

[tex](\frac{2}{5}\times x) -9=7[/tex]

Step 3: Solve the equation

The equation we have is:

[tex](\frac{2}{5}\times x) -9=7[/tex]

So, let's solve it:

[tex](\frac{2}{5}\times x) -9=7\\\\\text{Add 9 to both sides:}\\(\frac{2}{5}\times x) -9+9=7+9\\\\\text{Simplify:}\\(\frac{2}{5}\times x)=16\\\\\text{Multiply by}~\frac{5}{2}~\text{on both sides:}\\\frac{5}{2}\times\frac{2}{5}\times x=16\times \frac{5}{2}\\\\\text{Simplify:}\\1\times x=\frac{80}{2}\\\\\text{Calculate:}\\x=40[/tex]

Answer:

Step-by-step explanation:
Slope is gradient which is, change in y
                                              change in x
so, on the graph, change in y = 10-2.5 = 7.5
                              change in x = 5-0 =5
so, gradient is, 7.5/5
                     = 3/2

In a equation as above:

a is the leading coefficient

n is the degree

For the given equation:

Part I

In factored form, [tex]f(x)=a(x-2)(x-3)(x+1)[/tex]. Substituting x=1,

[tex]f(1)=32=a(1-2)(1-3)(1+1)\\\\\implies 32=4a\\\\a=8\\\\\therefore f(x)=8(x-2)(x-3)(x+1)[/tex]

Part II

In factored form, [tex]f(x)=a(x-5)(x-2)(x-4)[/tex]. Substituting x=3,

[tex]f(3)=-24=a(3-5)(3-2)(3-4)\\\\\implies 24=2a\\\\a=12\\\\\therefore f(x)=12(x-5)(x-2)(x-4)[/tex]

Answer:)0.3 I Think

Step-by-step explanation:

1.8/6

The answer is:

10.8 cm

Explanation:

6 × 1.8 = 10.8

- firstly, remove the decimal point

- Secondly, multiply regularly 6 by 18

- You'll get 108 as an answer

- Take back the decimal point one to the left because you took it one to the right before, so you will have to do the inverse of the previous action

Good luck

A problem that consists of the multiplication of two fractions, and in which the simplified product is 4/5 is presented as follows;

[tex] \displaystyle {\frac{14}{15} \times \frac{6}{7} = \frac{4}{5} }[/tex]

A fraction consists of a number that is expressed as a quotient, such that the numerator is being divided by the value in the denominator.

The multiplication problem with two fractions that ha a simplified product of 4/5 is found as follows;

let the fractions be [tex] \displaystyle \frac{a}{b} [/tex] and [tex] \displaystyle \frac{c}{d} [/tex]

The multiplication product is therefore;

[tex] \displaystyle \frac{a}{b} \times \frac{c}{d} = \frac{a \cdot c}{b\cdot d} = \frac{4}{5}[/tex]

The lowest common multiple of a and c is 4, while the lowest common multiple of b and d is 5

Taking b as 15, and a as 14 and c as 6, while d is taken as 7, such that we have;

[tex] \displaystyle {\frac{14}{15} \times \frac{6}{7} =\frac{2 \times 7}{5 \times 3} \times \frac{2 \times 3}{7} = \frac{2 \times 2}{5 \times 1} =\frac{4}{5} }[/tex]

The multiplication problem is therefore;

[tex] \displaystyle {\frac{14}{15} \times \frac{6}{7} = \frac{4}{5} }[/tex]

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the relation is 3x + y = 3

so,

y = 3x - 3

the domain is the values of x

so, substitute with each value of {-2,2,4} at the last equation of y

when x = -2 , y = 3*-2 - 3 = -6 - 3 = -9

when x = 2 , y = 3 * 2 - 3 = 6 - 3 = 3

when x = 4 , y = 3 * 4 - 3 = 12 - 3 = 9

so, the range will be {-9 , 3 , 9}

The correct answer is option a. (-9,3,9)x

Answer

Graph 1 = 1/3 slope

Graph 2 = -1/3 slope

Graph 3 = 3 slope

Graph 4 = -3 slope

I found these by counting rise over run,

or y/x to points on the line that cross the x or y axis.

The graphs that have a line that go up from left to right are positive slopes

The graphs that have a line that go down from left to right are negative slopes

Problems solved!

proper scientific notation: 3.6 x 10⁻⁵

standard form: 0.000036

Answer:

Step-by-step explanation:

what 15/60 as a decimal?

so

15 : 60 =

0.25   (1/4 as a fraction)

The answer of this question is Indian Ocean

It is the Arctic Ocean.

18% of the Indian Ocean's surface, and the size of 12% of the Atlantic Ocean.

These two oceans are the closest to the Arctic Ocean in terms of size. It depends on whose answers are listed in the table because they are both close to the 16% mark. The closest is the Indian.

Of the five major oceans in the globe, the Arctic Ocean is the smallest and shallowest. It is regarded as the coldest ocean and covers an area of roughly 14,060,000 km2 (5,430,000 sq mi). Despite some oceanographers referring to it as the Arctic Mediterranean Sea, the International Hydrographic Organization (IHO) classifies it as an ocean. Approximately, it has been compared to an estuary of the Atlantic Ocean. In addition, It's been analogized to roughly an estuary of the Atlantic Ocean.

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Answer:

Step-by-step explanation:

1 T shirt = 28.14

There are 2 methods this can be done.

Method `1

Adding 3 times

28.14 + 28.14 + 28.14 = $84.42

Method 2

Multiplying 28.14 by 3

28.14 times 3 = $84.42

Therefore answer is 84.42

A C E

Those are the answers

Answer:

Step-by-step explanation:

The surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units is 68.52 units².

The volume of a cylinder is calculated as:

= πr²h

In this case, the volume is given as 18 units³. The computed height is 0.637 units.

The surface area will be:

= 2πr² + 2πrh

= 2(3.14 × 3²) + (2 × 3.14 × 3 × 0.637)

= 56.52 + 12

= 68.52 units²

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No, the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3.

In the question ,

an equation y=(1/2)x-3 is given ,

if the ordered pair (-8,1) is a solution of the equation , then it should satisfy the equation .

Substituting x=-8 and y=1 in the equation y=(1/2)x-3 , we get

y=(1/2)x-3

1 = (1/2)(-8) -3

1 = -8/2 -3

1 = -4-3

1 ≠ -7

Since 1≠7 , the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3 .

Therefore , No , the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3.

The given question is incomplete , the complete question is

Is the ordered pair (-8,1) a solution to the equation y=1/2x-3  ?

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Organizations in College Edward Waters University include

College Edward waters university was the first independent higher institution and  black college located in Florida state of the United States of America.

The institution was found in 1866 in Jacksonville, Florida. It is owned by African Methodist Episcopal Church which is a Christian denomination.

Organizations refers to arrangement where people come together for a defined purpose. Organizations so exist in this high institution of learning

Delta Sigma Pi, Theta Omega Chapter is one of the organizations in this institution. The purpose of this organization is aid students in studying business in several ways and financial aids is one of them.

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The perimeter of the triangle ABC is 2x + 5

The formula for determining the perimeter of a triangle is expressed as;

Perimeter = a + b + c

Where;

From the information given, we have that;

Substitute the values, we have;

Perimeter = 2x - 1 + 9 - x + x - 3

collect like terms

Perimeter = 2x - x + x - 1 + 9 - 3

add or subtract like terms

Perimeter = 2x + 5

The expression for the perimeter is 2x + 5

Hence, the perimeter is 2x + 5

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The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.

Given a line 13x + 18y=108, this slope intercept form can be written as,

3x + 18y = 108

18y = 108 - 3x

y = (108 /18) - (3/18)x.

y = (6) - 1x/6.

y = -(1/6)x + 6.

∴ The slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).

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Answer:  [tex](h\circ m)(2) = 6[/tex]

=======================================================

Explanation:

The notation [tex](h \circ m)(2)[/tex] refers to function composition

It's the same as writing [tex]h(m(2))[/tex]

According to

m = {(3,4), (2,-2), (-2,6), (5,8)}

We have m(2) = -2 since x = 2 leads to m(x) = -2

Then the output -2 is treated as the input of the outer function h(x)

Looking through

h = {(1,5), (-2,6), (4, -3), (6,9)}

shows that h(-2) = 6

Therefore, [tex]h(m(2)) = h(-2) = 6, \ \text{ and } \ (h\circ m)(2) = 6[/tex]

Optionally we can write out a table like shown below.

The row highlighted shows the input x = 2 leading to m(x) = -2, which is then plugged into h(x) to get 6 as the final output. Think of it like a chain of dominoes.

Line 2 has a positive slope with respect to the angle made with the x-axis.

Slope refers to the tan of the angle with the x-axis. For example. if the line makes an angle β with the x-axis, then the slope is the tan β.

Now taking line 1,

The line is parallel to the x-axis, therefore the line makes 0 angles with the axis which gives slope 0.

Now taking line 2,

The line passes to the origin and has the equation x=y, thus the slope is 1

Now taking line 3,

The line is parallel to the y-axis, therefore the line makes 90°, thus the slope is 1/0 which gives infinity.

Now taking line 4,

The line is making an angle of 60°, therefore the line is having a slope:       - [tex]\sqrt{3}[/tex]

Hence considering the above values, line 2 has a positive slope only.

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The number of pounds when company A and B have same amount is 16 pounds.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.

In this case, shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound.

Let each pound be represented by p.

Company A will be 7 + 0.50p

Company B will be 11 + 0.25p

We will equate both equations.

7 + 0.50p = 11 + 0.25p

Collect like terms

0.50p - 0.25p = 11 - 7

0.25p = 4

Divide

p = 4 / 0.25

p = 16

The number of pounds is 16 pounds.

The complete information is given below.

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shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound. How many pounds will give an equal amount?

The expression which can be rewritten using a common factor is [tex]\frac{xy}{14} (x^{2} +3y)[/tex].

According to the question,

We have the following information:

One fourteenth times x cubed times y plus three fourteenths times x times y squared.

(We know that 'times' has to be replaced with multiplication.)

Now, we will change this into mathematical expression:

[tex]\frac{x^{3} y}{14} +\frac{3xy^{2} }{14}[/tex]

Now, from these two terms, the common factor can be [tex]\frac{xy}{14}[/tex].

(Common factor means that the number and the variables taken as a common factor should be able to completely divide the terms given any expression.)

Now, taking it as a common factor, we have the following expression:

[tex]\frac{xy}{14} (x^{2} +3y)[/tex]

Hence, the required expression is [tex]\frac{xy}{14} (x^{2} +3y)[/tex].

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2(5 + X) - 1 = 3X + 9

Step 1: Expand the terms in the bracket

=> 2 x 5 + 2 x X - 1 = 3X + 9

=> 10 + 2X - 1 = 3X + 9

Step 2: collect like terms

=> 2X - 3X = -10 + 1 + 9

=> -X = 0

I WILL USE THE LAWS OF EXPONENTS

[tex] {x}^{n} \times {x}^{m} \\ = {x}^{n + m} [/tex]

AND

[tex] \frac{{x}^{n}}{ {x}^{m} } \\ = {x}^{n - m} [/tex]

[tex] \frac{3 {x}^{ - 2 + 5} }{ {x}^{8} } \\ = \frac{3 {x}^{3} }{ {x}^{8} } \\ = 3 {x}^{3 - 8} \\ = 3 {x}^{ - 5} [/tex]

ATTACHED IS THE SOLUTION.

Answer:

i hope this one is good for you

By performing mathematical operations, the answer to the given expression (- 1.2(2/5) ÷ -2) is 0.24.

So, the values in the blank will be:

Therefore, by performing mathematical operations, the answer to the given expression (- 1.2(2/5) ÷ -2) is 0.24.

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Given:

There are given the equation:

Explanation:

According to the question:

we need to find the factor of the given equation:

So,

From the equation:

Final answer:

Hence, the factor of the given equation is shown below:

Answer:

240 copies of the standard version.

Step-by-step explanation:

See attached worksheet.

Bonus:  Since 240 standard copies were downloaded, we know that 3 times that number is the number of high quality versions downloaded.

                    Copies      Size(MB)        Total MB

Standard       240              2.6                624

High               720              4.4               3168

Total (MB)                                               3792   {This matches the data]

The product of the given expression is 1,30,200.

Given expression:-

(−310)(4.2)(−100)

We have to find the solution of the given expression by using either the commutative property or the associative property.

We will use the associative property of multiplication to find the product.

(−310)(4.2)(−100) = (-310)*(4.2*(-100)) = (-310)*(-420) = 1,30,200

Associative property

The associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result.

Hence,

(a*b)*c = a*(b*c) , where a, b and, c are real numbers.

Commutative property

Commutative property In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

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