Write a fraction equivalent to 6/20 with a denominator of 50.

7800  is  the value of each function after five years.

With an example, what is compound interest?

The formula is: A = P( 1 + r )ⁿ

r = 0.09

As here the value of the car depreciates every year, so we need to plug the value of  as negative. So,  - 0.09

Now plugging the above values into the formula, we will get

A = 12500 ( 1 - 0.09)⁵

A = 12500 * ( 0.91)⁵

A = 12500 *  0.6240321451

A =  7800.40181375  ≈ 7800

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You can multiply two matrices only if their dimensions are compatible. That means the number of columns in the first matrix is ​​equal to the number of rows in the second matrix.

The resulting matrix, called the matrix product, has the number of rows of the first and the range of columns of the second matrix. The result of matrices A and B is denoted as AB.

The definition of matrix multiplication means row-by-column multiplication, where the entry in the ith row of A is multiplied by the corresponding entry in the jth column of B, and the results are added. Matrix multiplication is not commutative. If neither A nor B is identity matrices, then AB≠BA.

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The value of the quotient is 2. 83

A fraction can be defined as the part of a whole.

The types of fractions are;

It is also important to note that quotient also mean division.

Now, let's convert the mixed fraction to improper fraction.

We then have;

= 17/6

Find the quotient

= 2. 83

Thus, the value of the quotient is 2. 83

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The equation used to find the monthly fee is 12y= 735.95 - 15.95

The monthly fee is $60

Sara paid a one time fee of $15.95

She then paid a monthly fee, let y represent the monthly fee

For the total period of 12 months she paid $735.95

Therefore the amount she paid monthly can be calculated as follows

12y= 735.95-15.95

12y= 720

y= 720/12

y= 60

Hence the amount Sara paid monthly is $60

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Answer:

slope = -3

y-intercept = (0,7)

Answer:

а)11/12 I believe the answer is correct

Step-by-step explanation:

your solution is written

Answer: Slope (m) Slopem=5/8

Step-by-step explanation:

Answer:

2/3.

Step-by-step explanation:

α + β + γ = -b/a

αβ + βγ + γ α = c/a

αβγ = -d/a

These are the relation between the roots α, β and γ and the coefficients of the cubic equation:

P(x) = ax^3 + bx^2 + cx + d  

Our equation is:

P(x) = 4x³ – x² − 6x + 9

So, for the above equation:

a + b + c = -(-1)/4 = 1/4

ab + ac + bc = -6/4 = -3/2

abc = -9/4.

1/a + 1/b + 1/c

= (bc + ac + ab) / abc

So, plugging in the above values:

this = (-3/2) / (-9/4)

= 3/2 * 4/9

= 12/18

= 2/3.

The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x            (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                       (Addition property of order)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

The inequality is given as;

−7 (3 + 8x) + 5x ≤ 1 − 62x

Now, Find the justification of each step in solving the inequality as;

The inequality is solve as,

−7 (3 + 8x) + 5x ≤ 1 − 62x

                                      (Given)

- 21 - 56x + 5x ≤ 1 − 62x

                                    (Distributive property)

- 21 - 51x ≤ 1 − 62x

                                    (Subtraction property of order)

- 21 + 11x ≤ 1

                                     (Addition property of order)

11x ≤ 22

                                     (Addition property of order)

x ≤ 2

                                     ( Division property of order )

Hence, The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x             (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                        (Addition property of order)

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Using algebraic expressions and equation, there are 26 kittens and 31 chickens in the yard.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

Given that there are 57 kittens and chickens in the yard, we can express this as:

x + y = 57     ⇒     x = 57 - y     (equation 1)

where x = number of kittens

y = number of chickens

If a kitten has 5 claws on each of its 4 paws, and a chicken has 4 claws in each of its 2 feet, and they all have 768 claws, then

5(4)x + 4(2)y = 768     ⇒     20x + 8y = 768     (equation 2)

Substitute equation 1 to equation 2 and solve for y.

20(57 - y) + 8y = 768

1140 - 20y + 8y = 768

-12y = -372

y = 31

number of chickens = 31

Substitute the value of y in either of the two equations and solve for x.

x = 57 - y

x = 57 - 31

x = 26

number of kittens = 26

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In July, 231 units are expected to be produced, according to the production budget.

A master budget is a comprehensive budget that is built from a collection of smaller, more specialized business budgets. The master budget process is divided into two parts: an operating budget and a financial budget, each of which is made up of a succession of smaller budgets.

A sales budget is a budget that forecasts a company's total revenue for a given time period. It forecasts the company's performance based on two factors: the number of products sold and indeed the price under which they are sold.

The word "production budget" is used specifically within film production sometimes, more broadly, in business. The term "film production budget" refers to the amount of money that will be spent on the complete film project. It entails identifying and estimating cost items for each stage of filmmaking.

The budgeted price per unit is = $65

Budgeted unit sales for  July = 15000.

Units should be manufactured in July = ?

The sales budget basically reflects the anticipated sales revenue for the next accounting quarter. It is simply prepared merely displaying the predicted sales quantity multiplied by that of the unit selling price.

sales budget for July = Units selling price ×  expected units to be sold.

15000 = 65 x expected units to be sold

expected units to be sold = 15000/65

                                           = 231 (approx.)

Units should be manufactured in July =  231 (approx.)

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The area and perimeter of the figures are 7) area=544 cm² and perimeter = 120 cm (8)area = 90cm² and  perimeter =  46 cm .

Area is defined as the total surface occupied by a figure. The SI unit of area is m² .

Area of rectangle is given by the product of its two sides the  length and Width

Perimeter is the sum of all sides of a two-dimensional figure.

7) In the first figure we have to separate it into a square and a rectangle.

Area of the square on top = 16 × 16 = 256 cm²

Length of the longest side in the second rectangle = 16 + 8+12=36cm

Area of the second rectangle = 36 × 8 = 288 cm²

Total area of the figure = (288 + 256) cm² = 544 cm²

Perimeter = 16 + 16 + 8 + 8 + 36 + 8 + 12 + 16 = 120 cm (taking all sides anti-clockwise from the top.)

8)Here we separate the two figures into two rectangles .

Length of the rectangle = 12 cm

Area of the first rectangle = 12 × 5 = 60 cm²

Area of the second rectangle = (6 × 5) cm² = 30cm²

Total area = (60 + 30)cm² = 90cm²

Perimeter = (5 + 6 + 7 + 5 + 12 + 11) cm² = 46 cm

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x = 2 is your missing value.

The equation below encapsulates the idea of direct variation.

If y is expressed as the product of a constant integer k and x, we say that y varies directly with x.

It becomes clear that k is the constant ratio between y and x if we isolate it on one side. In other words, there is always a constant result when you divide y by x.

K is also referred to as the proportionality constant, constant of variation, or just k.

You are finding the direct variation's solution. This indicates that both x and y have the same amount of change:

Observe: (x, y) & (x1, y1)

(x , y) = (4 , 6)

(x₁ , y₁) = (x , 3)

Set the two on an equal footing:

(4 , 6) = (x , 3)

Find common denominators (y). Remember that what you multiply to one you multiply to the other:

(4 , 6) = (x * 2, 3 * 2) = (2x , 6)

Simplify. Isolate the variable x.

Divide:

(4) = (2x)

(4)/2 = (2x)/2

x = 4/2

x = 2

x = 2 is your answer.

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Simplifying (4x)3 gives 64x3

Answer:

option B

Step-by-step explanation:

-2x^2(4x) -2x^2(-3)

= -8x^3+6x^2

Answer:

multiply by 2

Step-by-step explanation:

5x2=10

10x2=20

Answer:

the rule is that each time you go up you add the number by itself to get another for example 5, 10 we now know that 5+5 = 10 continuing 5, 10, 20

10+10 = 20

The simplify of the expression is [tex]7\sqrt{2} x^{4}[/tex].

The word simplifies manner to make something less complicated to do or understand. So, by lowering or simplifying the fractions method we make the fraction as simple as viable. We try this by dividing the numerator and the denominator by using the most important number which could divide into both numbers precisely.

to assess an algebraic expression manner to discover the fee of the expression while the variable is changed by way of a given variety. to evaluate an expression, we replace the given wide variety for the variable within the expression and then simplify the expression with the usage of the order of operations.

Whilst you simplify an expression, you are essentially seeking to write it in the handiest manner possible. at the give-up, there should not be any extra including, subtracting, multiplying, or dividing left to do.

⇒ [tex]\sqrt{14} = \sqrt{7} \sqrt{2}[/tex]

= [tex]\sqrt{7} x^{3} \sqrt{x7} \sqrt{2}[/tex]

= [tex]7x^{4} \sqrt{2}[/tex]

= [tex]7\sqrt{2} x^{4}[/tex]

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Answer:

(10x-5)-(-4x-5)=

10x-5+4x+5=

14x

i think i did it right?

Step-by-step explanation:

Answer:

D is the correct answer!!

Answer:

56

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The GCF of 98 and 56 is 14

According to the given statement the expand form of the logarithm 4log₃x+log₃7 is 11log₃.

Logarithms are another way to write exponents. A number's logarithm with only a base equals another number. Modular multiplication is the inverse function of the logarithm. For instance, if 102 = 100, log10 100 = 2.

4log₃x+log₃7

4log₃x this expression can not be further expand:

log₃7 applying the log property of (log ₐᵇ = b log a)

log₃7 this can be written as 7 log 3

the complete expiration is:

4log₃x+7log3

or

4log₃x+7log₃

So,

11log₃

the expand form of the logarithm 4log₃x+log₃7 is 11log₃.

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The inverse for the function f (x) = 4√x will be f ⁻¹ (x) = x² / 16

We are given the function:

f (x) = 4√x

we need to find the inverse of the function.

First we will write the function in the form of x.

y = 4√x

y / 4 = √x

x = y² / 4²

x = y² / 16

So, the inverse function will be:

f ⁻¹ (x) = x² / 16

Therefore, the inverse for the function f (x) = 4√x will be f ⁻¹ (x) = x² / 16

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Answer and Step-by-step explanation:

Considering the definition of an disparity, the imbalance that can be utilized to decide x is 20x + 10≤ 80 Definition of inequality An imbalance is the existing disparity between two arithmetical expressions, associated through the signs: greater than >. less than <. less than or rise to to ≤. greater than or break even with to ≥. An disparity contains one or more obscure values ​​called questions, in expansion to certain known data. Solving an disparity comprises of finding all the values ​​of the obscure for which the disparity connection holds. This case A rental car company charges $20 per day to lease a car and $0.10 for each mile driven. Addison needs to lease a car, knowing that: She plans to drive 100 miles. She has at most $80 to spend. On the other hand, x speaks to the most extreme number of days Alyssa can manage to lease for whereas remaining inside her budget. Then, the disparity that can be utilized to decide x is: 20x + 0.1×100≤ 80 So: 20x + 10≤ 80 In rundown, the disparity that can

Answer:

-13/18

Step-by-step explanation:

You have here a multiplication and a division in your expression. You need to multiply and divide in the order that they appear from left to right, according to the order of operations. So multiply first.

To multiply two fractions, you just multiply the top×top and bottom×bottom.

You could simplify it at this point but I waited to the end to simplify. See image.

Next, divide. If you have one or two fractions in a division problem, rewrite the division as a multiplication using Keep-Change-Flip! Keep the first term. Change divide to multiply. And Flip the second term (use the reciprocal is the math word for it.) See image.

Last, simplify.

The value of expression log₃27-2 log₃3 is equal to 1.

Given that the expression is log₃27-2 log₃3.

We are told to find the value of the expression by finding the logarithmic functions.

Change of base theorem is basically used when we have the base of the number having different base from 10 as logarithm having 10 base is required to find the log value from table.

log₃27-2 log₃3=log₃27-log₃[tex](3)^{2}[/tex]

([tex]log_{b}a[/tex] is equal to log a/log b and m log a=log [tex]a^{m}[/tex])

=log₃27-log₃9

=log₃(27/9)

=log₃3

=log3/log3

=1

Hence the value of expression log₃27-2 log₃3 is equal to 1.

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Answer: Assuming that it matters which one is president and which is vice president, and the same person cannot be assigned both posts, the answer is 30*29, or 870.

Step-by-step explanation:

Answer:

molly is baking cookies. she baked 45 cookies and she needs to put a certain amount in 5 different boxes so that way everyone has an equal amount. how much cookies need to be in each box

Step-by-step explanation:

Answer:Joe is feeding cows and he has 45lbs of grass and there are 5 cows how much does each cow get fed?

Step-by-step explanation:

Answer:

I think there are 2 more ways the list could be written

Answer:

f(4) = 98

Step-by-step explanation:

Substitute any x values for 4, and then solve.

f(4) = 22(4) + 10

f(4) = 88 + 10

f(4) = 98