Emilio borrows 1200$ from a bank with 8% simple interest per year how much will he have to pay back total in 2 years

Answer:

The answer is 273/64. In decimal form it is 4.109375 Good luck!

Answer:

3 coins each row

Step-by-step explanation:

if you put 3 coins in 4 rows it we'll be equivalent to 12

he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

Given:

In the given diagram, the l and m lines are parallel.

Explanation

a) To find: The special name of the relationship between angles 2 and 5.

We know that,

When two straight lines are cut by a transversal, then the angles formed on the opposite side of the transversal with respect to both the lines are called alternate angles.

So, angles 2 and 5 are alternate interior angles.

b)

Since angles 2 and 5 are alternate interior angles

So, they must be congruent with each other.

Therefore, 2 and 5 are congruent angles.

c) To find: Angle 2 when angle 1 is 140 degrees

Since angles 1 and 2 are linear pairs.

Therefore, angle 2 is 40 degrees.

Because they are linear pairs.

Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer:

13 feet

Step-by-step explanation:

All sides of a square are the same length.

If we call each side of the square 's', then the formula for the area of the square is A = s×s = s2.

The problem states the area is 169 square feet.

A = s2

169 = s2

Take the square root of both sides.

13 = s

Each side of the court is 13 feet!

Answer:

Step-by-step explanation

· It costs about $2.34 per square foot on average to hang sheetrock on the ceiling, with a range of approximately $2.07 to $2.61 per square foot. Expect to pay between $500 and $700 to hang and finish sheetrock on the ceiling. However, the overall cost depends on the room’s size, height, and finish options.

Hi!

x = 6

7x = 7 · 6 = 42

Answer:

42 is the answer.

Step-by-step explanation:

x = 6

7x

= 7 ( 6 )

= 42

The right answer is 40 cm

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer: answer is A

Step-by-step explanation:

Edge 2020

Your question: A regular hexagon inscribed in a circle creates 6 equiangular triangles. If the radius of the circle is 10 inches, how far are points at A and B from the y-axis?

The correct answer would be They are both 5 inches from the y-axis

Answer:

Subtraction property

Step-by-step explanation:

5x- 6 = 3x + 18

collect like-term

5x - 3x = 18 + 6

2x =24

Divide both-side of the equation by 2

x = 12

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

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Answer:

480n² - 1800n + 1455

Step-by-step explanation:

see attached

Answer:

-5

Step-by-step explanation:

-12 +7 =-5

Answer:

-1/8

Step-by-step explanation.

125 x 8 = 1000

.125 x 8 = 1

-.125 x 8 = -1

-1/8

subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4

Given the expressions as

(c ^ 2 - 4c + 7)

(7c ^ 2 - 5c + 3)

We are to substract expression 2 from expression 1

In doing this, we need to know the BODMAS rule ( bracket, of, division, multiplication, addition and subtraction). This would help in finding the solution

(7c ^ 2 - 5c + 3) -  (c ^ 2 - 4c + 7)

Expand the bracket

7c² - 5c + 3 - c² - 4c + 7

collect like terms

7c²- c² - 5c - 4c + 3 - 7

Add or substract the like terms

6c² - 9c -4

Thus, subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4

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Answer:6c^2-c-4

Step-by-step explanation:

(7c^2-5+3)-(c^2-4c+7)

7c^2-5c+3-c^2+4c-7

Rearrange the terms

7c^2-c^2-5c+4c+3-7

Combine like terms

6c^2-c-4

Complete Question:

The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?

Answer:

We accept \(H_o\) hence no significant  evidence

Step-by-step explanation:

From the question we are told that

sample correlation n= 20

population correlation  = 4

level of significance \(\alpha =0.05\)

Generally we are task to understand existing difference between  sample correlation and population correlation

Generally null hypothesis  is given by \(H_o : p=0\)

alternative hypothesis \(H1_1 : p\neq 0\)

generaly the mathematical representation of test statics

        \(t= r\sqrt{\frac{n-2}{1-r^2} }\)

        \(t= 0.04\sqrt{\frac{20-2}{1-0.4^2} }\)

        \(t= 1.85\)

Generally for table the p value is given by \(p= 0.08056\)

p value > the null hypothesis

Therefore

We accept \(H_o\) hence no significant  evidence

Answer:

2 kilometers away the metric system is based on the powers of 10

Step-by-step explanation:

Answer:

2000000

Step-by-step explanation:

Convert 2000 m to km, so you would multiply by 1000

An easy way to remember is think of how 1 gram equals 1000 kilograms

The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

We break up a number according to its place value and expand it to show the value of each digit.

Given that to write expanded form of 706.039

Expanded Factors Form:

706.039 = 7 × 100  + 0 × 10 + 6 × 1  + 0 × 0.1 + 3 × 0.01 + 9 × 0.001

Expanded Notation Form:

706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

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Answer : Hello It Is 42

Explanation : (82 - 40 = 42)

The given expression is \(82-2^3\times 5\). This expression equals 42.

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

By combining numbers, variables, operators, and functions, mathematical expressions can represent a wide range of computations and relationships.

Expressions are fundamental in mathematics as they allow us to represent and manipulate mathematical concepts, solve equations, evaluate formulae, and analyze mathematical relationships. They are used in various areas of mathematics, including algebra, calculus, geometry, and more.

The given expression is \(82-2^3\times 5\).

\(82-2^3\times 5\) = 82 - 8 \(\times\) 5

                 = 82 - 40

                 = 42.

So, the solution of the given expression is 42.

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If Ryan is building a tree house. The number of ladder steps he make is: 4 steps.

Given data:

The number of foot of wood Ryan needs= 3/4

The number of feet of wood to use = 18ft

The number of wood left = 15 ft

Equation is: 18 - 15 ft÷ 3/4 ft

Hence,

Now let calculate the foot he used

Foot used = 18 - 15 ft

Foot used = 3 ft

Now let find the number of ladder step he make

Ladder step = 3ft/ 3/4 ft

Ladder step = 4 x 3ft/ 3

Ladder step  = 4 steps

Therefore the number of steps is 4.

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Answer:

31000 - y = x

Step-by-step explanation:

Solve for x

\(12000\times5=9500+9500+10000+x+y\)

Add and multiply the integers

\(60000=29000+x+y\)

Subtract 29000 on both sides

\(31000=x+y\)

Subtract y on both sides

\(31000-y=x\)

Answer:

26

Step-by-step explanation:

convert 40% to 0.40

65 * 0.40 = 26

Answer:

Step-by-step explanation:

Let's call the length of the pen perpendicular to the barn "w", and the length parallel to the barn "l".

The total amount of fencing available is 400 feet. The side against the barn will be of length l, and the other two sides will each be of length w. Therefore, the total length of fencing required is:

l + 2w

This length of fencing must equal 400 feet:

l + 2w = 400

We want to maximize the area of the pen. The area of a rectangle is given by:

A = lw

We can use the equation l + 2w = 400 to solve for l:

l = 400 - 2w

Substituting this expression for l into the equation for the area, we get:

A = w(400 - 2w)

Simplifying:

A = 400w - 2w^2

So the equation to model the area of the pen in terms of w is:

A = 400w - 2w^2