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777dan777 [17]
2 years ago
10

Manuel made $6000 in taxable income last year. Suppose the income tax rate is 15% for the first $8500 plus 18% for the amount ov

er $8500. How much must Manuel pay in income tax for last year? s0 ?​
Mathematics
1 answer:
bazaltina [42]2 years ago
3 0

Answer:

the income tax paid for the last year is $900

Step-by-step explanation:

The computation of the income tax paid for the last year

Taxable income is $6,000

And, the 15% tax rate is charged for first $8,500

So the income tax paid is

= $6,000 × 15%

= $900

hence, the income tax paid for the last year is $900

The same is considered by doing the above calculation

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Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
tatyana61 [14]

Answer : 96

x – y = 16 --------> equation 1

1/8 x + 1/2 y = 52

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

1/8 x + 1/2 ( -16 + x ) = 52

1/8x - 8 + 1/2 x = 52

1/8x + 1/2x - 8 = 52

Take common denominator to combine fractions

1/8x + 4/8x -8 = 52

5/8x - 8 = 52

Add 8 on both sides

5/8x = 60

Multiply both sides by 8/5

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

8 0
3 years ago
Multiply and Simplify<br> (x-4)(x^2 - 5x - 6)
kirill [66]

Answer:

x^3 -9x^2 +14x +24

Step-by-step explanation:

(x-4)(x^2 - 5x - 6)

Multiply the x by everything in the second term

x * (x^2 - 5x - 6)

x^3 -5x^2 -6x

Multiply the -4 by everything in the second term

-4 * (x^2 - 5x - 6)

-4x^2 +20x +24

Add everything together

I like to line them up vertically

x^3 -5x^2 -6x

      -4x^2 +20x +24

-------------------------------

x^3 -9x^2 +14x +24


4 0
2 years ago
Read 2 more answers
The following two-way table shows the data for the students of two different grades in a school:
xxMikexx [17]

Answer:

blabity-booo

Step-by-step explanation:

i love  you ;)

3 0
3 years ago
Read 2 more answers
F(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7
djyliett [7]

Answer:

{5x}^{2}  + 6x =  - 8

Step-by-step explanation:

This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.

{ - 12x}^{2}  - 15x + 7 - ({ - 7)x}^{2}  + 9x - 15

Now we can solve for the equation.

{ - 5x}^{2}  - 6x - 8 = 0 \\   {5x}^{2}  + 6x =  - 8

3 0
2 years ago
What is the slope of a line perpendicular to the line of y=-1/4x-1
harina [27]

Answer: 4

The given line has a slope of -1/4 as this is the number in front of the x. The general equation y = mx+b has m as the slope. So m = -1/4 is given

Flip the sign to get -1/4 turn into +1/4 or just 1/4

Then flip the fraction (aka reciprocal) to go from 1/4 to 4/1 and that simplifies to 4.

Multiplying the original slope (-1/4) and the perpendicular slope (4) will result in -1.

5 0
3 years ago
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