Answer:
8.46%
Explanation:
Monthly interest rate = 0.640%
Number of month in year = 12
Investment in non-interest bearing = 6%
Effective annual interest = [(1 + Monthly interest rate)^Number of month] - 1 / (1 - Investment in Non-interest)
Effective annual interest = [(1 + 0.640%)^12] - 1 / (1 - 6%)
Effective annual interest = (1.0064)^12 - 1 / 0.94
Effective annual interest = 1.07956187072 - 1 / 0.94
Effective annual interest = 0.07956187072 / 0.94
Effective annual interest = 0.084640288
Effective annual interest = 8.46%
Hence, the Effective annual is 8.46%.
Answer:
The annual payment at the end of each year: $4,572.23
Explanation:
The formular for calculating Present value of Annuity is applied in this case to help us find the equal annual payment.
Applying information in the question, we have the annuity that have:
n= 10 as there are 10 equal annual payments paid at the end of each year during 10 years;
i = 8.5% per annum compounded annually, as stated in the question;
PV = Borrowed amount = $30,000;
C = the equal annual payment.
The formular for PV of Annuity: PV = (C/i) x [ 1- (1+i)^(-n)] <=> C = (PV x i) / [ 1- (1+i)^(-n)]
Thus, C = (30,000 x 8.5%) / [ 1- 1.085^(-10) ] = $4,572.23
Answer:
1. 80,000
2. $40 per barrel
Explanation:
1. As we can see from the table provided The equilibrium quantity in this market is 80,000 barrels of heating oil per day, as quantity demanded match quantity supplied
2. As we can see from the table provided The equilibrium price is $40 per barrel as in this cost there is an intersection of quantity demanded and quantity supplied. In other words the equilibrium price and quantity could be find out when the quantity demanded equal to quantity supplied
Answer:
Initial Velocity= 49 m/s
Time period= 5 secs
Explanation:
THIS IS THE COMPLETE QUESTION BELOW
A rocket shoots up 123 meters. What is it initial velocity?How long is it ascending
The initial velocity can be calculated using the expression below
u= √( 2gh)
Where g= Acceleration due to gravity= 98 m/s^2
h= height
Substitute the values we have
u = √(2*9.8*123)
u=√( 2410.8)
u = 49 m/s
the time period can be calculated as
(49/9.8)
= 5 sec
Hence time period is 5 secs
Answer:
Adjusted Gross Income =$ 102,000
Explanation:
Gross Income $ 200,000
Business Expenses $ 60000
Gross income earned from your self-employment $140,000
Less alimony to his former spouse $30000
Less Health Insurance Premium $6000
Less Medicine and Doctor fees $ 2000 (Assuming its under Qualified Medical Expenses)
Adjusted Gross Income =$ 102,000
Since mortgage interest relates to personal home, it is not deductiable.