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2 years ago

6

John says book bags he sells a leather bag for 69 dollars and 80 cents, and the sales tax is about 6 percent of the sale price a

bout how much is sales tax on this bookbag.

1 answer:

trapecia [35]2 years ago

4 0

Answer:

about 4.19 is sales tax

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Learning Task 3:

padilas [110]

Answer:

$Area = x^2- 25$

$Area =9x^2 +24x + 16$

$Length = (3x -2)$

$Speed = \left(y^2-3y+1\right)$

$Product = 3m^3 + 6m^2 - 6m$

Step-by-step explanation:

Solving (1):

$Length = (x + 5)$

$Width = (x - 5)$

Required

Calculate Area

$Area = Length * Width$

$Area = (x + 5) * (x - 5)$

$Area = x^2 + 5x - 5x - 25$

$Area = x^2- 25$

Solving (2):

Given

$Length = (3x + 4)$

Required: Calculate Area

$Area =Length * Length$

$Area =(3x + 4) * (3x + 4)$

$Area =9x^2 + 12x + 12x + 16$

$Area =9x^2 +24x + 16$

Solving (3):

$Area = 3x^2 + 7x - 6$

$Width = x + 3$

Required: Calculate Length

$Area = Length * Width$

$Length = \frac{Area}{Width}$

$Length = \frac{3x^2 + 7x - 6}{x + 3}$

Factorize the numerator

$Length = \frac{3x^2 + 9x -2x - 6}{x + 3}$

$Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}$

$Length = \frac{(3x -2) (x + 3)}{x + 3}$

Divide by x + 3

$Length = (3x -2)$

Solving (4):

$Distance = (2y^3 - 7y^2 + 5y -1)$

$Time = 2y - 1$

Required: Determine the average speed

This is calculated as:

$Speed = \frac{Distance}{Time}$

$Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}$

Factorize the numerator

$Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}$

$Speed = \left(y^2-3y+1\right)$

Solving (5):

Multiply $(m^2 + 2m - 2)$ by sum of $(m + 3)$ and $(2m - 3)$

First, calculate the sum:

$Sum = m + 3 + 2m - 3$

$Sum = m + 2m+3 - 3$

$Sum = 3m$

Then, the product

$Product = (m^2 + 2m - 2)(3m)$

$Product = 3m^3 + 6m^2 - 6m$

6 0

2 years ago

Read 2 more answers

7) John is draining his pool at a rate of 6 gallons per minute. His pool starts with

Luba_88 [7]

Answer:

Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie’s cube has a side length of 2image centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction.

Step-by-step explanation:

5 0

2 years ago

Answer these and show your work PLEASE AND THANK YOU ASAP

neonofarm [45]

Answer:

Step-by-step explanation:

7 0

2 years ago

Which of the following are true if you pay only the minimum amount each month towards your credit card bill? AYou will be charge

faust18 [17]

Answer:

A- You will be charged interest on your remaining balance.

C- You may be in debt for a long time.

Step-by-step explanation:

The following are true if you pay only the minimum amount each month towards your credit card bill:

Firstly one will be charged interest on the remaining amount. Suppose you had a bill of $500. But you paid the minimum of $100. So, you will be charged your standard interest rate on $400.

And with this format, one will be in a debt for a long time as each month some new balance will be added to the previous one.

So, options A and C are true.

B is not true as the interest rates are not changed during the cycle.

8 0

3 years ago

Read 2 more answers

What is the equation of the following graph in vertex form?

Veronika [31]

Answer:

The equation in vertex form is:

$y=(x-2)^2+1$

Step-by-step explanation:

Recall that the formula of a parabola with vertex at $(x_{vertex},y_{vertex})$ is given by the equation in vertex form:

$y=a\,(x-x_{vertex})^2+y_{vertex}$

where the parameter $"a"$ can be specified by an extra information on any other point apart from the vertex, that parabola goes through.

In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:

$y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-2)^2+1$

we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter $a$ :

$y=a\,(x-2)^2+1\\5=a(0-2)^2+1\\5=a\,*\,4+1\\5-1=4\,a\\4=4\,a\\a=1$

The, the final form of the parabola's equation in vertex form is:

$y=(x-2)^2+1$

5 0

3 years ago