Abby lives in a state in which the state income tax rate is equal to 5.38% of federal taxable income. abby’s federal income tax is equal to 19.6% of her federal taxable income. if abby owes $8,880.17 in federal income tax, how much does she owe in state income tax?

The Abby  owe in state income tax is $2437.52 .

Step-by-step explanation:

Let us assume that the federal taxable income be x .

As given

Abby’s federal income tax is equal to 19.6% of her federal taxable income.

If abby owes $8,880.17 in federal income tax .

19.6% is written in the decimal form

= 0.196

Thus equation becomes

0.196 × Federal taxable income = Federal income tax

0.196 × x = 8880.17

0.196x = 8880.17

x = $45306.9898

Thus federal taxable income is $45306.9898 .

As given

Abby lives in a state in which the state income tax rate is equal to 5.38% of federal taxable income.

5.38% is written in the decimal form

= 0.0538

Thus

State income tax = 0.0538 × Federal taxable income

                            = 0.0538 × $45306.9898

                            = $2437.52 (Approx)

Therefore the Abby  owe in state income tax is $2437.52 .

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it