The roth family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. they also have liabilities totaling $108,000. if their total liabilities increase by $7,000 over the next year, by how much would the roth family need to increase their assets in order to have a net worth of $100,000? a. $7,000 b. $14,000 c. $21,000 d. $28,000

$21000

Step-by-step explanation:

Given : The Roth family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000.

To Find : If their total liabilities increase by $7,000 over the next year, by how much would the Roth family need to increase their assets in order to have a net worth of $100,000?

Solution :

Since The Roth family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000.

So, their total assets = $10,000+$150,000 +$34,000. =$194,000

Also They also have liabilities totaling $108,000. If their total liabilities increase by $7,000 .

Then total liabilities = $108,000+$7,000=$115000

For their net worth to be 100,000, their assets have to be their liabilities (115,000)+100,000.  

Let x be the increase their assets in order to have a net worth of $100,000

⇒$194,000+x=(115,000)+100,000.  

⇒$194,000+x=215,000

⇒x=215,000-194,000

⇒x=21000

Thus Roth family need to increase $21000 in their assets in order to have a net worth of $100,000

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol