Answer:
$177,114.99
Explanation:
The ending balance of the loan at the end of the 30th month after the monthly payment is the beginning balance at the beginning of the month plus the interest for the month minus the monthly payment.
Note that the interest expense for the month increases the loan balance while the monthly payment reduces the balance.
interest expense for 30th month=beginning balance*fixed interest rate/2
interest expense for 30th month=$177,391.93*4.375%/12
interest expense for 30th month=$646.74
monthly payment =$923.68
The ending balance of the loan=$177,391.93+$646.74-$923.68
The ending balance of the loan=$177,114.99
Answer:
8.32%
Explanation:
The computation of cost reduction improve the ROE is shown below:-
For computing the increase in ROE first we need to follow some steps which is here below:-
Debt = capital × Debt
= $250,000 × 37.5%
= $93,750
Equity = Assets - Debt
= $250,000 - $93,750
= $156,250
New ROE = New Net income ÷ Equity
= $33,000 ÷ $156,250
= 21.12%
Old ROE = Old Net income ÷ Equity
= $20,000 ÷ $156,250
= 12.8%
Increase in ROE = New ROE- Old ROE
= 21.12% - 12.8%
= 8.32%
Answer: 0.48
Explanation:
P(A/B) = P(AnB)/P(B) where:
P(A/B) = The probability of event A occurring given that B has occurred.
P(AnB) = The probability of both events A and B occurring.
P(B) = the probability that event B occurs.
So let
P(A) = Probability that the residents of a household own 2 cars.
P(B) = Probability that the annual household income is greater than $25,000.
The question tells us that
P(A/B) = 0.8
Note that: P(A) = 0.7, P(B) = 0.6.
Since we want to work out P(AnB), because it gives the probability that residents have an annual household income over $25,000 and own 2 cars.
We would Rearrange our initial equation to make P(AnB) the subject formula becoming;
P(A/B) = P(AnB)/P(B)
P(B)*P(A/B) = P(AnB)
So, inserting our probabilities into this equation gives:
0.6*0.8 = 0.48
