The table shows Meghan’s net worth statement. Assets are shown as positive numbers, and liabilities are shown as negative numbers. The value of Meghan’s automobile is not given.

Net Worth Statement
Assets Value
House (current value) $103,000
Checking account $900
Credit-card debt -$4,300
Automobile (current value)
Student loans -$16,400
Investments $5,600
Savings account $1,200


Meghan’s net worth is $101,800. Based on the information in the table, what is the current value of Meghan’s automobile?

Respuesta :

Add all the values together with the automobile value as x. We have:

103000+900-4300-16400+5600+5200+x=108000

94000+x=108000

x=14000

So, the value of Meghan's automobile is $14000.

Answer:

To find the current value of Meghan's automobile, we need to calculate her net worth using the given assets and liabilities and then solve for the automobile's value.

Meghan's net worth is calculated as the sum of all her assets minus the sum of all her liabilities. According to the information given:

- House (current value): $103,000

- Checking account: $900

- Credit-card debt: -$4,300

- Student loans: -$16,400

- Investments: $5,600

- Savings account: $1,200

- Meghan’s net worth: $101,800

Let's denote the value of the automobile as [tex]\(A\)[/tex]. Therefore, Meghan's net worth can also be represented by the formula:

[tex]\[\text{Net Worth} = \text{House} + \text{Checking account} + \text{Investments} + \text{Savings account} + A - (\text{Credit-card debt} + \text{Student loans})\][/tex]

We can plug in the values to solve for [tex]\(A\)[/tex]):

[tex]\[101,800 = 103,000 + 900 + 5,600 + 1,200 + A - (-4,300 - 16,400)\][/tex]

Let's calculate \(A\).

The current value of Meghan's automobile is $11,800.

Step-by-step explanation: