Aman earned wages of $51500, received $2500 in interest from a savings account, and contributed $4000 to a tax-deferred retirement plan. he was entitled to a personal exemption of $4050 and a standard deduction of $5950. the interest on his home mortgage was $8100, he contributed $2700 to charity, and he paid $1450 in state taxes. find his gross income, adjusted gross income, and taxable income. base the taxable income on the greater of a standard deduction or an itemized deduction.

Gross income=$54000

Adjusted gross income = $50000

Taxable income= $33700

Step-by-step explanation:

Step 1.

First we have to find his gross income:

The gross income consists of the total income of the man which is the wages and the interest from his savings account

Gross income = 51,500 + 2,500 = $54,000

Therefore his gross income is $54,000

Step 2.

Now we determine person's adjusted gross income

according to the question the contributed amount is $4,000

To calculate the adjusted gross income we use the formula:

Adjusted gross income = Gross income - Adjustment

Therefore $54,000 - $4,000 = $50,000

Hence his adjusted gross income is $50,000

step 3.

Now we determine person's taxable income

according to the question his personal exemption is $4050 and a standard deduction is $5950.

Now we calculate the itemized deduction by using this formula:

Itemized deduction = Interest on home mortgage + Taxes from state + Contribution to charity

= $8100 + $1450 + $2700

= $12,250

Here the itemized deduction is greater than the standard deduction.

So take the itemized deduction in the following formula for deductions.

Taxable income = Adjusted gross income - (Exemption + Deduction)

= $50,000 - ($4050 + $12250)

= $50,000 - ($16,300)

= $33,700

Hence the taxable income is $33,700.

step-by-step explanation:

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50