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navik [9.2K]
3 years ago
6

A man earned wages of ​$51500​, received ​$2500 in interest from a savings​ account, and contributed ​$4000 to a​ tax-deferred r

etirement 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.
Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer:

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.

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3 years ago
The sum of 5 consecutive numbers is -5. What is the largest out of the numbers?
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We can say that x is the largest number.

So the sum is x + (x - 1) + (x - 2) + (x - 3) + (x - 4) = -5

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15. The dollar amount y that remains to be repaid on a loan x months after the loan is issued is represented by y=-1000x + 8000.
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Answer:

1) $8000

2) $1000

3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

Step-by-step explanation:

We have the equation y = -1000x + 8000 which follows the linear equation:

y = mx + b, where m is our slope and b is our y-intercept

1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start

2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account

3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.

0  = -1000x + 8000

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It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

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3 years ago
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