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3 years ago

C=p(1+r) what is the final Cost of a $40 item after an 8% tax is applied

1 answer:

8 0

Hello there! The cost of the item is $40, which makes up 100% of the price. There is 8% tax applied on the item. Let's add both percentages. 100 + 8 is 108. That's 108%. Let's multiply that by 40 to get the total price. 40 * 108% (1.08) is 43.2. There. The final cost of an item is $43.20.

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Three red rods are 2cm longer than two blue rods. Three blue rods are 2cm longer than four red rods. How long is each rod?

nydimaria [60]

Answer:

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

Step-by-step explanation:

Let

x ----> the length of each red rod in centimeters

y ----> the length of each blue rod in centimeters

we know that

$3x=2y+2$ ----> equation A

$3y=4x+2$ ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10,14)

see the attached figure

therefore

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

4 0

4 years ago

What is the measurement of angle a?

Illusion [34]

Assuming we have parallel lines, we can solve for x.
Since a = 3x - 10 (vertically opposite angles are equal),
3x - 10 = 2x + 15 (alternate angles are equal)
x = 25

Hence, angle a = 3(25) - 10 = 65°

6 0

3 years ago

Identify the terms and the like terms in the expression z+8-4z

slamgirl [31]

Answer: -3z+8

Step-by-step explanation: add -4z and z because they are like terms and then leave the 8 alone because it’s a term.

8 0

3 years ago

Point A is at (-1,-9) and Point M is at (0.5,-2.5).

leva [86]

Midpoint Formula: $(\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})$

So firstly, let's start with the x-coordinates. Since we know the midpoint's x-coordinate and point A's x-coordinate, we can solve for point B's x-coordinate as such:

$\frac{-1+x}{2}=0.5\\\\-1+x=1\\\\x=2$

Next, do the same thing except solve for the y-coordinate and using point A's y-coordinate and the midpoint's y-coordinate:

$\frac{-9+y}{2}=-2.5\\\\-9+y=-5\\\\y=4$

<u>Putting it together, point B's coordinates are (2,4).</u>

4 0

3 years ago

How do you write four and 13 twentyeths as a decimal

deff fn [24]

4.65
13 ÷ 20 is 0.65, just add the 4

7 0

3 years ago

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