Answer:
Paul has negative worth of $2,900
His statement is invalid as he did not consider all assets and debts in aggregate.
Step-by-step explanation:
The net worth of Paul is the total asset owned by him less the total of debts owed by him.
Paul's total assets can computed thus:
Stock portfolio $21,000
Home worth $365,000
Car worth $19,000
Total assets $405,000
Paul's total debts can be computed as follows:
Mortgage loan $362,000
Car loan $16,250
credit card debt $11,750
Student loan $17,900
Total debts $407,900
The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.
Is there a grid that came with the problem?
Answer:
we have (a,b,c)=(4,-2,0) and R=4 (radius)
Step-by-step explanation:
since
x²+y²+z²−8x+4y=−4
we have to complete the squares to finish with a equation of the form
(x-a)²+(y-b)²+(z-c)²=R²
that is the equation of a sphere of radius R and centre in (a,b,c)
thus
x²+y²+z²−8x+4y=−4
x²+y²+z²−8x+4y +4 = 0
x²+y²+z²−8x+4y +4 +16-16 =0
(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0
(x-4)² + (y+2)² + z² = 16
(x-4)² + (y-(-2))² + (z-0)² = 4²
thus we have a=4 , b= -2 , c= 0 and R=4
About 8:00 is when they will all have met up ram will have ran 4 laps raju will have ran 3 laps and ravi will have ran 2 laps