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3 years ago

What is the taxable income on an adjusted gross income of $112,333 with four exemptions

Mathematics

1 answer:

krek1111 [17]3 years ago

4 0

9514 1404 393

Answer:

$82,383

Step-by-step explanation:

$112,333 - 14,550 - 4×3850 = $82,383 . . . taxable income

With no other information, we assume the taxable income is the gross income less the deductions and exemptions.

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The recursive function LaTeX: f\left(0\right)=1,\:f\left(n\right)=f\left(n-1\right)+2nf ( 0 ) = 1 , f ( n ) = f ( n − 1 ) + 2 n

m_a_m_a [10]

Question:

The recursive function $f(0) = 1$ , $f(n) = f(n-1) + 2n$ represents the nth term of a sequence. Determine the explicit function

Answer:

$f(n) = n^2 + n+1$

Step-by-step explanation:

Given

$f(0) = 1$

$f(n) = f(n-1) + 2n$

Required

Write an explicit formula

Let n = 1

$f(1) = f(1-1) + 2*1$

$f(1) = f(0) + 2$

$f(1) = 1 + 2 = 3$

Let n = 2

$f(2) = f(2-1) + 2*2$

$f(2) = f(1) + 4$

$f(2) = 3 + 4 = 7$

Let n =3

$f(3)=f(3-1) + 2 * 3$

$f(3)=f(2) + 6$

$f(3)=7+ 6 = 13$

Let n = 4

$f(4) = f(4 - 1) + 2 * 4$

$f(4) = f(3) + 8$

$f(4) = 13+ 8 = 21$

So, we have:

$f(1) = 3= 1 + 2 * 1=1+0*1*2*1$

$f(2) = 7= 3 + 2 * 2=1+1*2+2*2$

$f(3) = 13= 7 + 2 * 3= 1+2*3+2*3$

$f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4$

Following the above pattern:

$f(n) = 1 + (n - 1) * n + 2 * n$

$f(n) = 1 + n(n - 1) + 2n$

Open bracket

$f(n) = 1 + n^2 - n + 2n$

$f(n) = 1 + n^2 + n$

$f(n) = n^2 + n+1$

3 0

2 years ago

SOMEONE SOSSS PLSSSS

Leya [2.2K]

Answer:

$5.60 sales tax
$75.60 total cost

Step-by-step explanation:

You have correctly found the sales tax to be ...

$70.00 × 0.08 = $5.60 . . . sales tax

The total cost of the item is the selling price with the tax added:

$70.00 +5.60 = $75.60 . . . total cost

7 0

2 years ago

The number of stamps that Kaye and Alberto had were in the ration of 5:3 respecctively. After Kaye gave Alberto 10 of her stamps

masha68 [24]

Answer: The correct option is

(D) 60.

Step-by-step explanation: Given that the number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively.

After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5.

We are to find the number of stamps that Kaye had more than Alberto.

Let the number of stamps Kaye and Alberto has are 5x and 3x respectively.

Then, according to the given information, we have

$(5x-10):(3x+10)=7:5\\\\\Rightarrow \dfrac{5x-10}{3x+10}=\dfrac{7}{5}\\\\\Rightarrow 25x-50=21x+70\\\\\Rightarrow4x=120\\\\\Rightarrow x=\dfrac{120}{4}\\\\\Rightarrow x=30.$

So, the number of stamps that Kaye had = 5 × 30 = 150

and

the number of stamps that Alberto had = 3 × 30 = 90.

Therefore, the number of stamps that Kaye had more than Alberto is

$150-90=60.$

Thus, Kaye had 60 stamps more than Alberto.

Option (D) is CORRECT.

7 0

3 years ago

On a piece of paper graph y+2<1/4x-1. Then determine which answer choice matches the graph you drew.

hammer [34]

Answer:

It graph A I'm here to help not give the wrong answer.Trust me ik how it feels

6 0

2 years ago

So we’re simplifying it I don’t need the answer!

RUDIKE [14]

6x+1
have a good day

7 0

3 years ago

Read 2 more answers