MATHEMATICS HIGH SCHOOL

Compute the sales tax on the following transactions. An article retails for $37.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altogether?

Answers

Answer 1

Answer:

The article will cost altogether:

$ 42.75

Step-by-step explanation:

It is given that:

The retail price of the article is: $ 37.50.

Also, the article will hold a city tax of 6% and a federal excise tax of 8%.

Hence, the total percent tax on article is: 6+8=14%

This means that the cost price of the article is:

Retail Price of article+14% of retail price.

= 37.50+14% of 37.50

= 37.50+0.14×37.50

= 37.50+5.25

= 42.75

Hence, the article will cost: $ 42.75

Answer 2

Answer: First you must find the rate of both taxes. Since its 8% and 6%, you must add them both together, then divide them by 100.

14/100 = .14

Then for both rates you must add 1 because it is a tax increase.

1 + .14 = 1.14

Finally times 37.50 with 1.14

37.50(1.14) = 42.75

$42.75 is the answer.

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1 1/3 minus 5/6 please help me out
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Please solve this problem. Thnaks(3x-4)²

Answers

(3x-4)² is
(3x-4)(3x-4)
FOIL it.
9x²+3x-4+3x-4+16
simplify
9x²+6x+8

so you just write it out as (3x-4)(3x-4) and then you FOIL, which would give you 9x^2-24x+16

Which is equal to 42 • 48?
a. 416
b. 410
c. 46
d. 4−6

Answers

Answer:

$4^(-6)$

Step-by-step explanation:

Given : $4^2 / 4^8$

To Find :Which is equal to $4^2 / 4^8$ ?

a. $4^(16)$

b. $4^(10)$

c. $4^6$

d. $4^(-6)$

Solution:

$4^2 / 4^8$

Property : $a^x / a^y = a^(x-y)$

Using the property :

$4^(2-8)$

$4^(-6)$

So, $4^2 / 4^8$ = $4^(-6)$

So With Questions Like These
Remember,
Multiply = add the exponents
Divide = Subtract the Exponents
AND ALWAYS KEEP THE BASE

So Its B

What is an equation in point-slope form of the line that passes through (-7,1) and (-3, 9)

Answers

Step-by-step explanation:

let eqn be y - y1 = m(x - x1)

m = (9 - 1)/(-3 - (-7))

m = 2

sub (-7, 1):

y - 1 = 2(x + 7)

therefore, the equation is y - 1 = 2(x + 7)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:
y=2x+15

Solution:
Refer to the diagram

Prism A is similar to Prism B. The volume of Prism A is 4320 cm³. What is the volume of Prism B?

Answers

Volume of Prism B is 4320 cm³.

4320 cm3 it the answer I believe

What value or values of x satisfy 2|x + 5.3| = 4.2? x can only equal –3.2. x can only equal 7.4. x can equal –3.2 or –7.4. x can equal –3.2 or 7.4.

Answers

2 | x + 5.3 | = 4.2
| x + 5.3 | = 4.2 / 2
| x + 5.3 | = 2.1

x + 5.3 = 2.1 x + 5.3 = - 2.1
x = 2.1 - 5.3 x = -2.1 - 5.3
x = - 3.2 x = - 7.4

solution is : x = -3.2 or x = -7.4

Answer:

What value or values of x satisfy 2|x + 5.3| = 4.2?

x can only equal –3.2.

x can only equal 7.4.

x can equal –3.2 or –7.4.

x can equal –3.2 or 7.4.

Step-by-step explanation:

x can equal –3.2 or –7.4. Is the correct answer.

You make an initial deposit of $2500 in an account that offer 6% simple interest per year how much will be in the account after four years?