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2 years ago

The sales tax rate is 8.2%. Estimate the sales tax on a computer that costs $550.

Mathematics

1 answer:

sammy [17]2 years ago

4 0

Answer:

The sales tax on the computer is $45.10.

Explanation:

The sales tax (x) on the computer can be expressed by the equation:

x=550×8.2100

x=5.5×8.2

x=45.1

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Debora [2.8K]

Explanation:

The common difference of this arithmetic sequence is 5. Adding 5 to an even number gives an odd number, and vice versa. Hence the "parity" of the terms in the sequence must alternate between odd and even.

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3 years ago

Someone help me

Aneli [31]

Answer:

see the explanation

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter

In this problem we have

$C=2.88\ in$

$\pi=3$

substitute and solve for D

$2.88=(3)D$

$D=2.88/3$

$D=0.96\ in$

we know that

The length of the row of quarters is equal to multiply the diameter of the quarter by the number of quarters in the row

For 4 quarters in the row, the length is equal to --> $0.96(3)=3.84\ in$

For 6 quarters in the row, the length is equal to --> $0.96(6)=5.76\ in$

For 12 quarters in the row, the length is equal to -> $0.96(12)=11.52\ in$

6 0

3 years ago

A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?

GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

$240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)$

$480=\left(2x+1\right)\left(6x-3\right)$

$480=12x^2-3$

Subtract 480 from both sides

$12x^2-3-480=480-480$

$12x^2-483=0$

$3\left(4x^2-161\right)=0$

$3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0$

solving

$2x+\sqrt{161}=0$

$2x=-\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\sqrt{161}}{2}$

$x=-\frac{\sqrt{161}}{2}$

also solving

$2x-\sqrt{161}=0$

$2x=\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{\sqrt{161}}{2}$

$x=\frac{\sqrt{161}}{2}$

Therefore, the values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

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2 years ago

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Answer:

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