Simplify the expression below. Show all steps and calculations to earn full credit. You may want to do this work by hand and upload an image of that written work rather than try to type it all out. \sqrt[]{\frac{ \sqrt[3]{64}+\sqrt[4]{256}}{\sqrt[]{64}+\sqrt[]{256}}}

The money we would have at any time can be modeled as

M = 27k + 141

Why?

you started with $141, so that is the base amount,

every month you add 27 dollars,

in one month you add 27 dollars,

in two months you 27 again making 54 dollars,

so , in x months, you have added 27x dollars to the 141 dollars,

thus our equation is

M = 27k + 141

In order to find the determinant we just multiply the diagonals

Then we substract the second result to the first:

[tex]3(5x + 1) = 13x + 5[/tex]

Plug in x=1:

[tex]3(5(1) + 1) = 13(1) + 5\\3(5 + 1) = 13 + 5\\3(6) = 18\\18=18[/tex]

This statement is true.

Given:

The given expression is,

Required:

Write the product using exponent.

Answer:

Let us compute the product using exponents.

Final Answer:

The product using exponents is given by,

Answer:

-3

Step-by-step explanation:

x - (x+3)

x - x -3

-3

The difference in math means the result of subtracting one number from another.

m = Mai’s height

Therefore, the equation is:

Note that a quadratic function is increasing and decreasing at exactly half between the roots.

The roots are the point on the ground when tossing the ball into the air.

So we need to get the roots of the given equation.

Roots are the values of x when y = 0

So the roots are 0 and 6, this will be the x coordinate or the point on the ground.

Since the equation is increasing halfway and decreasing up to the ground, the halfway point is the midpoint between the roots.

Midpoint = (0 + 6)/2 = 3

Therefore, the ball's height is always decreasing at 3 < x < 6

The answer is 3 < x < 6

Answer:

Explanation:

Here, we want to simplfy the given expression

From what we have:

Substituting the values, we have it that:

For this problem, we are given a rectangle and its dimensions. We need to use this information to determine the area of the rectangle.

The rectangle's area is given by the following expression:

For this problem, we have:

The rectangle's area is 270 square milimiters

The 35% of 125 is computed as follows:

The sequence is not arithmetic

What is a sequence?

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms). The length of the series is defined as the number of items (which might be infinite). Unlike a set, the same components can occur numerous times in a sequence at various points, and the order does important. Formally, a sequence may be defined as a function from natural numbers (the sequence's places) to the items at each point. The concept of a sequence may be extended to include an indexed family, which is defined as a function from an arbitrary index set.

The given sequence 78, 785, 7855, 78555, ... is not arithmetic.

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1) Let's begin considering that our budget is $400.

Since the bike is discounted by 25%, we can get to know the price with this formula:

2) Note that there is an increase in the price since there are taxes to pay. The original price is taken into consideration to charge the tax. So, let's find how much we have to pay:

So, let's add that to the discounted price:

3) Since I've got $400 let's find how much is left after that purchase:

Note that as requested we rounded off to the nearest dollar.

Thus, that's what's left after the purchase

Given:

Length of side = 2.8 in

Let's find the volume of the cube.

To find the volume of a cube, apply the formula:

Where:

a is the side length = 2.8 in

Hence, to find the volume, we have:

Therefore, the volume of the cube is 22.0 cubic inch.

ANSWER:

22.0 in³

Prior to multiplying the result by 100, divide the finance charge by the total amount funded. The finance charge per $100 of the financed amount is the end outcome of credit.

Step 1

Loan Amount(p)= 3600

Number of Payments per year(n)= 12

Time in Years (t)=4

Installment Payment (m)=83.81

Total amount paid in 48 installments= 4022.88

Amount Paid - Amount Financed = 4022.88 - 3500 = 522.88 in finance charges.

To determine the annual percentage rate. Prior to multiplying the result by 100, divide the finance charge by the total amount funded. The finance charge per $100 of the financed amount is the end outcome.

Finance Charge​/ Amount financed × 100= 522.88/ 3600× 100= 14.5

To use Table , look for 48 in the far left-hand column under the heading Number of Payments. Then move across to the right until you find the value closest to 14.5. In this case, 14.5 is in the table. The value 7 is at the top of this column. The yearly percentage rate is therefore around 7. Monthly payments are 83.81. After 12 payments have been made, 30 payments remain. Therefore, P = 83.81 and n = 30. Use the APR table to calculate V . In the Number of Payments column, find the number of remaining payments, 30, and then look to the right until you reach the column headed by 7%, the APR. intersect at 9.30. Thus, V = 9.30.

:[tex]u=nPV/100+V\\u=30*83.81*9.30/100+9.30=213[/tex]

Total due amount = Total remaining payment including interest- saving on interest + 12th monthly payment= 2514.3- 213.934+ 83.81= 2384.17

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Answer:

-5 over 30

Step-by-step explanation:

Answer:

35%

Explanation:

Given cost of a pant = $36.95 and selling price = $24.02.

Let the markdown percent be y.

To determine the markdown percent, we'll use the below formula;

Sale Price = Original Price x (1 - Markdown% in decimal)

So let's go ahead and substitute the given values into the equation;

So the markdown percent is 35%

Given:

A rectangle has a length of 9 inches and a width of 5 inches whose sides are changing. The length is increasing by 3 in/sec and the width is shrinking at 9 in/sec.

To find:

The rate of change of the perimeter.

Solution:

It is known that the perimeter of the rectangle is twice the sum of length and width.

DIfferentiate the perimeter with respect to t:

From the given information:

Thus, the perimeter of the rectangle is decreasing at the rate of 12 inches per second.

First, find the area of the trapezoid.

Area of a trapezoid = 0.5 ( sum of bases ) x height

bases = 15in, 8in

height = 8in

A 1 = 0.5 (15 + 8 ) x 8 = 92 in 2

Then, subtract the area of the rectangle:

Area of a rectangle = lenght x width

L = 5

W= 3

A2 = 5 x 3 = 15 in 2

Area of the shaded region = A1 - A2 = 92 - 15 = 77 in2

It is possible to have a negative output on:

Since a can take possitive values and negative ones, and since it isn't inside the absolute value barrs.

Question:

Solution

a) If for every 10 bags the store charges $140 then

1. for 10x2 = 20 bags the store charges 2x$140 = 280.

2. for 10x3 = 30 bags the store charges 3x$140 = 420.

3. for 10x4 = 40 bags the store charges 4x$140 = 560

4. for 10x6 = 60 bags the store charges 6x$140 = 840

b) According to the previous item, we can conclude that for 10x5 = 50 bags the store charges 5x$140 = 700 then, the farmer must pay $700 for 50 bags.

c)

According to the previous item, we can conclude that for 10x5 = 50 bags the store charges 5x$140 = 700 then, the farmer must pay $700 for 50 bags.

John owes to his Mom and Dad.

From Mom = 25.20

From Dad = 27.60

The total amount he owes is the sum of both. We just add both the amounts.

Total: 25.20 + 27.60 = $52.80

The commutative law says that we can swap the position of numbers when we add or multiply and still get the same result

The commutative property of multiplication can be expressed as

ab = ba

The commutative property of addition can be expressed as

a + b = b + a

Looking at the given expression,

12 and pi were swapped and the sign involved is multiplication. Thus, the correct option is

D. Commutative property of multiplication

Okay, here we have this:

Considering the provided information, we are going to match the situations to their corresponding functions, so we obtain the following:

1: The total pages a person reads in x days, if the person reads 6 pages a day: f(x)=6x.

2: The cost of x boxes of mangoes, if 1 box cost $6 and the shipping charge is $6 per order: f(x)=6x+6 -> f(x)=6(x+1)

3: The total cost of x notebooks, if one notebook cost $6 and students receive a discount of $1 off their bill: f(x)=6x-1

4: The total cost of x novels and a pocket dictionary if you buy a novels each at $6 and get a pocket dictionary at $1: f(x)=6x+1

Cosine formula

Considering angle R, the adjacent side has a length of 9 units, and the hypotenuse of the triangle has a length of 15 units. Substituting this information into the above formula:

The given polynomial is expressed as

P(x) = - 3x^2 + 9x

The domain values are the x values. To find P(-5), it means that we would substitute x = - 5 into the polynomial. It becomes

P(- 5) = - 3(- 5)^2 + 9(- 5)

P(- 5) = - 3 * 25 - 45

P(- 5) = - 75 - 45

P(- 5) = - 120

0.834

The formula calculating the z-score is expressed as:

Given the following parameters

• x1 = 49.55

• x2 = 73.35

• mean μ = 57inches

• standard deviation σ = 7.3in

Convert the x-values to z-score

For z2;

Determine the required probability

You have the following equation:

2x² - 12x + 16 = 0

in order to solve the previous equation, first divide by 2 both sides:

x² - 6x + 8 = 0

next, consider that the factors of the previous expression has the form:

(x - )(x - ) = 0

consider the first number inside the first factor is the result of the sum of two numbers, and the number of the second factor is the product of the same numbers. Such numbers are:

(2)·(4) = 8

2 + 4 = 6

hence, the factorized expression is:

(x - 8)(x - 2) = 0

the solutions of the equations are:

x = 8

x = 2

In order to calculate the cost of 7.5 lbs of walnuts, we can use the following rule of three, knowing that 3/4 lbs have a cost of $3.45:

Now, we can write the following proportion and solve for x:

Therefore the cost is $34.50.

You can use decimal numbers (those numbers that have a comma after an interger part and before the decimal part)

You can use decimal numbers in real life in measures as:

Examples:

weight (you can weight 132,27 lb)

volumen of soda (you can drink a glass of soda of 8,45 oz = 0,25 L)

The temperature ( the temperature can be 89,9 F)

All the examples above have decimal number that can be useful in every-day life.