Mark collects Pokémon cards. He recently bought 24 cards to add to his collection. He decided to give of all of his cards to his little brother. If he gave a total of 15 cards to his brother, which equation best represents the situation?
A- 1/6c + 15 = 24
B- 1/6 + 24c=15
C- 1/6 (c + 24) = 15
D- 1/6c + 24=15

Answers

Answer 1

The required equation model for the given situation is 1/6 (c + 24) = 15. Option C is correct.

How to use the concept of the equation model?

The concept of the equation model is a fundamental part of mathematics, and it is used in a wide range of applications. Here are some ways in which the equation model is used,
1. Solving equations    2. Modeling real-world situations 3.Understanding relationships between variables.

here,
According to the question let the Pokémon cards Mark intially had be c,
So as per the given condition, Mark has c + 24 card and he gives 1/6 of his card to his little brother, which is 15 cards
The equation model of the situation is given as,
1/6(c + 24) = 15

Thus, the required equation model for the given situation is 1/6 (c + 24) = 15. Option C is correct.

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Related Questions

2. Simplify the expression below by multiplying and then grouping like terms. Please look at CW # 4.11 or
# 4.12 if you need help!

2y + 3x +42x+5y-3y - 5x

Answers

The simplification of the expression gives 40x + 4y

How to simplify an expressions?

Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.

The expression 2y + 3x +42x+5y-3y - 5x can be simplified by adding or subtracting like terms. That is:

2y + 3x +42x+5y-3y - 5x = 3x +42x- 5x + 5y-3y + 2y

                                         = 40x + 4y

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35 cm
What is the volume of the solid shown above?
1 cm
3 cm

Answers

The volume of the solid shown can be found to be 105 cm ³ .

How to find the volume ?

The volume of the solid can be found by the formula :

= Length x Width x Height

This is because this is a rectangular prism and their volumes require multiplying the sides of the rectangle in the above manner .

The volume of the solid is therefore:

= 35 x 1 x 3

= 35 x 3

= 105 cm ³

In conclusion, the volume of the solid would be 105 cm ³ .

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True or False? All of these figures are similar

Answers

Answer:

True

Step-by-step explanation:

They Are all Equal and The Same By the Degrees and Angles and Numbers

The grade you earn in math varies inversely with the number of minutes per night you watch TV. If you watch 90 minutes of TV per night, you get a 60% in math. How much TV can you watch to get a 70% in math?

Answers

The number of minutes that you watch TV to get a 70% in math will be 77.14 minutes.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The grade you earn in math varies inversely with the number of minutes per night you watch TV.

We know that in inverse proportionality, the product of grade and number of minutes remains constant.

Let 'N' be the number of minutes. Then the equation is given as,

70N = 90 × 60

70N = 5,400

N = 77.14 minutes

The number of minutes that you watch TV to get a 70% in math will be 77.14 minutes.

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Divide 3x³ - 2x² + 4x - 3 by x² + 3x + 3.

Answers

The solution to the division 3x³ - 2x² + 4x - 3 divided by x² + 3x + 3 is: 3x - 11  ( 28x  +  30) / (x² + 3x + 3).

What is the quotient of the long polynomial division?

The division of the polynomial 3x³ - 2x² + 4x - 3 by the polynomial x² + 3x + 3 can be performed using polynomial long division.

Here's the steps for long division:

                     3x - 11    

                    ------------------------------------

x² + 3x + 3 √ (3x³ - 2x² + 4x - 3 )

                  -  (3x³ + 9x² + 9x )

                    ---------------------------------

                                -11x² - 5x - 3

                           -  ( -11x² - 33x - 33 )

                        -----------------------------------

                                          28x  +  30

                               

Thus, the solution to the division 3x³ - 2x² + 4x - 3 divided by x² + 3x + 3 is: 3x - 11  ( 28x  +  30) / (x² + 3x + 3)

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What are the basic means of differentiation?

Answers

In mathematics, differentiation refers to the process of finding the derivative of a function. The basic means of differentiation include:

Limit definition: The derivative of a function is defined as the limit of the difference quotient as the interval over which the quotient is taken approaches zero.

Power rule: The derivative of a function of the form f(x) = xⁿ is given by f'(x) = nx⁽ⁿ⁻¹⁾

Product rule: The derivative of a product of two functions u(x) and v(x) is given by (u × v)'(x) = u'(x) × v(x) + u(x) × v'(x).

Quotient rule: The derivative of a quotient of two functions u(x) and v(x) is given by (u/v)'(x) = [u'(x) × v(x) - u(x) × v'(x)] / v(x)².

Chain rule: The derivative of a composition of functions f(g(x)) is given by f'(g(x)) × g'(x).

These basic means of differentiation are essential tools for analyzing and modeling functions in calculus and related fields.

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comment savoir si un graphique est proportionnelle ?

Answers

Answer:

Pour savoir si un graphique est proportionnel, il faut vérifier si les valeurs de la variable indépendante (l'axe des x) sont proportionnelles aux valeurs de la variable dépendante (l'axe des y). Cela signifie que si on multiplie les valeurs de la variable indépendante par un facteur constant, les valeurs de la variable dépendante seront également multipliées par ce même facteur constant.

Un moyen de vérifier si un graphique est proportionnel est de tracer une ligne droite à travers les points de données. Si tous les points se trouvent sur cette ligne droite, alors le graphique est proportionnel. Si les points ne se trouvent pas sur une ligne droite, alors le graphique n'est pas proportionnel.

Il est également possible de calculer le coefficient de proportionnalité en divisant chaque valeur de la variable dépendante par la valeur correspondante de la variable indépendante. Si le résultat est constant pour toutes les paires de valeurs, alors le graphique est proportionnel.

Enfin, il convient de noter que la proportionnalité n'est qu'un type de relation entre deux variables et que d'autres types de relations peuvent exister, tels que les relations exponentielles, logarithmiques ou quadratiques.

Step-by-step explanation:

Tony has a rectangular piece of cardboard that will have congruent squares removed from its corners with a length of 3 inches. The length of the piece of cardboard is four times larger than its width. Tony also know that the volume of the box he is able to create from this piece of cardboard is 336 cubic inches. What are the dimension of this box?

Answers

The dimensions of the box are given as follows:

Length of 3 inches.Width of 0.75 inches.Height of 149.3 inches.

How to obtain the volume of the rectangular prism?

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:

Volume = length x width x height.

The parameters for this problem are given as follows:

Length of 3 inches.Width of 1/4 x 3 = 0.75 inches.Volume of 336 cubic inches.

Hence the height of the cardboard is given as follows:

3 x 0.75 x h = 336

h = 336/(3 x 0.75)

h = 149.3 inches.

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5.) Yesterday your friend made needs to make 3 more gallons of the same shade. She 1 gallon of dark pink paint using the information in the table. Today she
white tint to 3 gallons of base paint. Explain the error in her reasoning. says that she should add 9 parts red tint and 2 parts

Answers

Your friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.

What is error?

Error is, the difference between a true value and an estimate, or approximation, of that value.

Given that, yesterday your friend made needs to make 3 more gallons of the same shade. She 1 gallon of dark pink paint using the information in the table, (attached in solution)

The calculation of how much paint you need to make 3 gallons of Pink paint :-

To mix 3 gallons of pink paint we must take into account the following information:

1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.

To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.

Red paint:

3 x 3 = 9

White paint:

1 x 3 = 3

We need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.

Hence, She needs to add 3 parts of white paint and 9 parts of red paint. The error is she added 2 parts of white paint.

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The question is incomplete so, I attached the graph.

What is 4x + 11 < -21 on a number line

Answers

Answer: x <- -8

x is less than negative eight.

Step-by-step explanation:

First, subtract 11 from both sides. Then divide both sides by 11. The arrow should be open and pointing to the left.

Answer:

x <- -8

Step-by-step explanation:

Agustín pagó $ 120 por una carpeta y dos paquetes de hojas; mientras que Mauricio pagó $ 190 por
costo de una carpeta y de un paquete de hojas. Después resuelve dicho sistema.
tres paquetes de hojas y dos carpetas. Plantea un sistema de ecuaciones que permita calcular el costo de una carpeta y de un paquete de hojas

Ayúdenme por favor

Answers

The cost of a folder is: $20

The cost of a package of sheets is $50.

How do we calculate cost of each folder and pack of sheets?

The system of equations with variables:

C: number of foldersQ: number of packs of sheets

Juan paid 120 pesos for a folder and 2 packages of sheets:

C + 2P = 120

Clearing C:

C = 120 - 2P

Manuel paid 190 pesos for 3 packages of sheets and 2 folders:

2C + 3P = 190

Substituting the "C":

2 * (120 - 2P) + 3P = 190

240 - 4P + 3P = 190

-P = 190 - 240

-P = -50

P = $50

The price for a folder is:

C = 120 - 2 * 50

C = $20

Translated question "Juan paid 120 pesos for a folder and 2 packages of sheets while Manuel paid 190 pesos for 3 packages of sheets and 2 folders.Calculate the cost of a folder and a package of sheets."

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I need to find the table for a parabola and the equation is
y=-2x^2+8x

Answers

The table for the parabola is

x y

-2 24

0 0

2 8

4 0

6     -24

How to create the table for the parabola

To create a table for a parabola with equation y = -2x^2 + 8x, we can simply plug in values of x and solve for y.

with x-values from -2 to 6,:

For x = -2, y = -2(-2)^2 + 8(-2) = -24

For x = 0, y = -2(0)^2 + 8(0) = 0

For x = 2, y = -2(2)^2 + 8(2) = 8

For x = 4, y = -2(4)^2 + 8(4) = 0

For x = 6, y = -2(6)^2 + 8(6) = -24

To plot the parabola on a graph, we can plot the points from the table and draw a smooth curve through them. The graph of y = -2x^2 + 8x looks like a downward-facing parabola with its vertex at the point (2, 8).

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Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of z), the absolute value of y, and the square root of (xy to the power of z). Ex: if the input is: 3. 6 4. 5 2. 0 the output is: 12. 96 1. 841304610218211e11 4. 5 16. 2.

Answers

The absolute value of y, and the square root of (xy to the power of z) is [tex]xy^{z}[/tex]

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

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what is the definition of opposite rays in geometry

Answers

Answer:

Opposite rays point in opposite directions and therefore make a 180-degree angle with each other.

Step-by-step explanation:

-8a+32b in distributive property

Answers

-8a + 32b using the distributive property as 8(-a + 4b).

What is Expression?

An expression is combination of variables, numbers and operators.

To express -8a + 32b using the distributive property, we need to factor out the greatest common factor that the terms share.

The greatest common factor of -8a and 32b is 8.

-8a + 32b

= 8(-a + 4b)

Using the distributive property, we can check that this expression is equivalent to the original:

8(-a + 4b) = 8(-a) + 8(4b) = -8a + 32b

Therefore, we can express -8a + 32b using the distributive property as 8(-a + 4b).

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Camden went to the grocery store and purchased cans of soup and frozen
dinners. Each can of soup has 150 mg of sodium and each frozen dinner has
300 mg of sodium. Camden purchased a total of 7 cans of soup and frozen
dinners which collectively contain 1500 mg of sodium. Graphically solve a
system of equations in order to determine the number of cans of soup
purchased, x, and the number of frozen dinners purchased, y.

Answers

Camden purchased 4 cans of soup and 3 frozen dinners.

How to solve for this

We can solve this problem by using a system of two linear equations.

Let x be the number of cans of soup purchased and y be the number of frozen dinners purchased.

Then, based on the information given, we can set up two equations as follows:

150x + 300y = 1500 (the total amount of sodium consumed is 1500 mg)

x + y = 7 (Camden purchased 7 cans of soup and frozen dinners)

Now, we can use either substitution or elimination to find the values of x and y.

Using substitution:

Solve the second equation for y: y = 7 - x

Substitute the expression for y into the first equation: 150x + 300(7 - x) = 1500

Simplify the expression: 150x + 2100 - 300x = 1500

Combine like terms: -150x + 2100 = 1500

Solve for x: -150x = -600

Divide both sides by -150: x = 4

Use the second equation to find y: y = 7 - x = 7 - 4 = 3

So, Camden purchased 4 cans of soup and 3 frozen dinners.

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What is the area of a square with side lengths of 3/5

Answers

Answer: 0.36

Step-by-step explanation:

A=L*W

Since all sides of a square is the same you just do 3/5(3/5) which is 0.36 or 9/25

Where can the bisectors of the angles of an obtuse triangle intersect?

Answers

Answer: Hello! I'm JK!.....

B. I Only. (inside the triangle)

Step-by-step explanation:

I really hope this helps you.  XoXoGoldenMaknae <3

if u and v are in r n , how are u t v and v t u related? how are uv t and vu t related?

Answers

They are related as u^T transposes of each other. v and v^T u are scalar values that represent the dot product of u and v. uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

If u and v are vectors in R^n, then:

u^T v and v^T u are related as transposes of each other. Specifically, if

u = [u_1, u_2, ..., u_n]^T

and v = [v_1, v_2, ..., v_n]^T

then:

u^T v = v^T u

= u_1 * v_1 + u_2 * v_2 + ... + u_n * v_n

So, u^T v and v^T u are scalar values that represent the dot product of u and v.

uv^T and vu^T are related as transposes of each other. Specifically, if u = [u_1, u_2, ..., u_n]^T and v = [v_1, v_2, ..., v_n]^T

then:

uv^T = [u_1 * v_1, u_1 * v_2, ..., u_1 * v_n;

u_2 * v_1, u_2 * v_2, ..., u_2 * v_n;

...;

u_n * v_1, u_n * v_2, ..., u_n * v_n]

vu^T = [v_1 * u_1, v_2 * u_1, ..., v_n * u_1;

v_1 * u_2, v_2 * u_2, ..., v_n * u_2;

...;

v_1 * u_n, v_2 * u_n, ..., v_n * u_n]

So, uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

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Consider the equation
2x + 3y - 6 - 3z + 4y - 6x = 4x + 2y = 4z + 10
a. How many terms are there in this equation?
b.
What are the variables in this equation?
c.
What are the constants in this equation? (hint: constants are the numbers that
are "unattached" to variables)
d. Combine the like terms on the left side of the equation. What are the coefficients
of the variables? (hint: the coefficients are the numbers that multiply the
variable-for example, in 6x, 6 is the coefficient)

Answers

There are 10 terms in the equation

The variables are x, y, z

The constants in this equation are -6, 10

The coefficients of the variables of the equation are; 8, 7 and -3

How many terms are there in this equation?

2x + 3y - 6 - 3z + 4y - 6x = 4x + 2y - 4z + 10

The left side of the equation is;

2x + 3y - 6 - 3z + 4y - 6x

= 2x - 6x + 3y + 4y - 3z - 6

= 8x + 7y - 3z - 6

Therefore, the coefficients of the variables on the left side of the equation are; 8, 7 and -3

Variables are unknown numbers usually represented by letters or symbols.

The constant are numbers that cannot change its value

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The diagram shows the relative positions of three MRT stations.
Find the bearing of
(a) W from O
(b) O from CA
(c) CA from W

Answers

The bearing are as follows:

(a) W from O = 70 degree south by east

(b) O from CA = 17 degree south by west

(c) CA from W = 21 degree west by north

What is angle ?

In geometry, an angle is the measure of the amount of rotation between two intersecting lines or surfaces, typically measured in degrees or radians.

An angle is formed when two lines or surfaces intersect at a point, which is called the vertex of the angle. The two lines or surfaces that form the angle are called the arms or sides of the angle. Angles are usually denoted using the vertex point, with a small angle symbol (such as ∠ABC).

What is corresponding angle ?

Corresponding angles are a pair of angles that are in the same relative position at two different intersections of a line and a pair of parallel lines. In other words, if two parallel lines are intersected by a third line (called a transversal), then any pair of angles that are in the same position relative to the parallel lines are corresponding angles.

According to given conditions :

a. 70 degree south by east

b. 17 degree south by west

c. 21 degree west by north

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AThe bearing are as follows:

(a) W from O = 70 degree south by east

(b) O from CA = 17 degree south by west

(c) CA from W = 21 degree west by north

What is angle ?

In geometry, an angle is the measure of the amount of rotation between two intersecting lines or surfaces, typically measured in degrees or radians.

An angle is formed when two lines or surfaces intersect at a point, which is called the vertex of the angle. The two lines or surfaces that form the angle are called the arms or sides of the angle. Angles are usually denoted using the vertex point, with a small angle symbol (such as ∠ABC).

What is corresponding angle ?

Corresponding angles are a pair of angles that are in the same relative position at two different intersections of a line and a pair of parallel lines. In other words, if two parallel lines are intersected by a third line (called a transversal), then any pair of angles that are in the same position relative to the parallel lines are corresponding angles.

According to given conditions :

a. 70 degree south by east

b. 17 degree south by west

c. 21 degree west by north

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6. Find the area and perimeter of the following figure.
3 5/6
4 4/3
3

Answers

The area is 5.627 square units and the perimeter is 12.167 units of the given figure.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

perimeter of the given figure = 3 5/6 + 4 4/3 + 3

perimeter of the given figure = 12 1/6 = 73/6 = 12.167 units

Area of triangle = √[s(s – a)(s – b)(s – c)],

where s is the semi-perimeter of the triangle, and a, b, and c are the lengths of the three sides of the triangle.

According to the given question, we have

a = 3 5/6

b = 4 4/3

c = 3

s = (3 5/6 + 4 4/3 + 3)/2 = 12.167/2 = 6.083

Substitute the values in the area formula, and we get

Area of triangle = √[6.083(6.083 – 3 5/6)(6.083 – 4 4/3)(6.083 – 3)]

Area of triangle = 5.627 square units

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The question seems incomplete, the missing figure has been attached below.

Write the sentence as an equation.
the quotient of j and 11 is equal to 367
Type a slash (/) if you want to use a division sign.
Submit

Answers

Answer: j/11 = 367

Step-by-step explanation:

Keywords: QUOTIENT. Quotient indicates a division answer. The quotient, in this case, is 367.

It also makes sense that j is the dividend and 11 is the divisor.

---
For the SOLVED version: j = 4037.
Multiply 11 on both sides, canceling the 11 on one side and getting 4037 when you multiply 11 by 367.

Answer:

J/11 = 367; this is the equation as When J is divided by 11 it answers to 367

Step-by-step explanation:

total answer;

J = 367(11)

J= 4037

A store bought shirts for $5.75 each. If they want
to make 65% profit on selling them what should
the selling price be?

Answers

The selling price of a shirt should be $8.97.

What is gain or profit?

The profit or gain is equal to the selling price minus the cost price. Loss is equal to the cost price minus the selling price.

Given that, a store bought shirts for $5.75 each and profit percent = 65%.

We know that, Selling price = (100+Profit%)/100 ×CP

Here, Selling price =(100+65)/100 ×5.75

= 1.56×5.75

= $8.97

Therefore, the selling price of a shirt should be $8.97.

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The scores from a 20 point algebra quiz are shown.
7, 9, 10, 12, 13, 15, 17, 18, 19, 20

The percentile of a test score can be defined as the percent of test scores less than or equal to that test score

Use this definition to find the percentile of the test score 12

The test score 12 is at the ___th percentile

Answers

The test score of 12 is at the 40th percentile.

What is a percentile?

A Percentile divides a data set into the 100 equal parts. A percentile is a measurement that tells us what percent of the total frequency of a data set was at or below that measure.

From the question,

The test score of 12 is less than or equal to 7, 9, 10, 12, so 4 out of the 10 scores are less than or equal to 12.

So, the percentile of the test score 12 can be calculated as:

Percentile = (number of scores less than or equal to 12) / (total number of scores) x 100

percentile = (4) / (10) x 100

percentile = 40

Hence, the test score of 12 is at the 40th percentile.

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y=3.8x10 [tex]x^{5}[/tex]

Answers

Here is the answer I guess Y=380000

For your birthday, you received a $15 gift card to your favorite arcade. All of the games at the arcade cost $0.75. Complete the equation to represent the total amount of money, m, remaining on the gift card after playing g arcade games.For your birthday, you received a $15 gift card to your favorite arcade. All of the games at the arcade cost $0.75. Complete the equation to represent the total amount of money, m, remaining on the gift card after playing g arcade games.For your birthday, you received a $15 gift card to your favorite arcade. All of the games at the arcade cost $0.75. Complete the equation to represent the total amount of money, m, remaining on the gift card after playing g arcade games.

Answers

The required equation model the situation total amount of money, m, remaining on the gift card after playing g arcade games as m = $15 - 0.75g.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's start by representing the total amount of money spent on playing arcade games as 0.75g.

Since the gift card has a value of $15, the total amount of money remaining on the gift card after playing g games can be represented as:

m = $15 - 0.75g

This equation represents the total amount of money remaining on the gift card after playing g games, where m is the remaining amount and g is the number of games played.

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An employee put $7,000.00 in a retirement account that offers 5% interest compounded annually. The employee makes no additional
deposits or withdrawals. Which amount is closest to the interest the employees will have earned at the end of 4 years?
A
x B $7,350.00
1x C
$1,400.00
D
$1,508 54
$8,508.54

Answers

Answer:

$1508.54

Step-by-step explanation:

A = p(1 + [tex]\frac{r}{n}[/tex])^nt

A = 7000(1+ .05)^4

A = 7000(1.05)^4

A = 8508.54  This is the total amount (principle and interest

Subtract out the principle

8508.54 - 7000 = 1508.54

25 points! write the radical ³√32m³ using rational exponents

Answers

Answer:

To write the radical ³√32m³ using rational exponents:

1. Rewrite the radical using exponential notation: 32m^3 ≈ 8m^3.

2. Convert the exponent into its equivalent fractional form: 8m^3 ≈ 2^3m^3/2^3.

3. Apply a rational exponent to the numerator: (2^3m^3)^(1/3)/2^3 = 2m.

4. The radical can now be written using rational exponents: (2m)^3/2^3.

For what interval is f(x)=2x+10 positive?

Answers

Answer:

[tex]x>-5[/tex]

Step-by-step explanation:

[tex]2x+10>0 \implies 2x>-10 \implies x>-5[/tex]

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