Final answer:
The gross income is $80,350, the adjusted gross income is $72,550, and after using the higher standard deduction of $12,500, the taxable income is $60,050.
Step-by-step explanation:
Calculating Gross Income, Adjusted Gross Income, and Taxable Income
To find the gross income, we sum up all the incomes received such as wages, interest from savings accounts, and other earnings like winnings from a game show. Here, the gross income will be:
$63,500 (wages) + $1,850 (interest) + $15,000 (game show winnings) = $80,350.
The adjusted gross income (AGI) is calculated by subtracting any deductions that reduce gross income. In this scenario, that is the contribution to a tax-deferred retirement plan:
$80,350 (gross income) - $7,800 (retirement plan contribution) = $72,550 as the AGI.
To find the taxable income, we must determine if itemizing deductions is more beneficial than taking the standard deduction. The itemized deductions would be the sum of mortgage interest, charitable contributions, and state taxes:
$6,500 (mortgage interest) + $3,000 (charity) + $2,100 (state taxes) = $11,600.
Since the standard deduction of $12,500 is higher than the itemized deductions of $11,600, the standard deduction should be used. Therefore, the taxable income is:
$72,550 (adjusted gross income) - $12,500 (standard deduction) = $60,050 as the taxable income.