Answer:
Quarterly deposit= $3,182.78
Explanation:
Giving the following information:
A sinking fund earns 7% compounded quarterly and produces $50,000 at the end of 3.5 years.
We need to find the quarterly deposit made at the end of each period.
<u>First, we need to calculate the quarterly interest rate:</u>
Interest rate= 0.07/4= 0.0175
To calculate the deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
n= 3.5*4= 14
FV= 50,000
i= 0.0175
A= (50,000*0.0175)/ [(1.0175^14)-1]= $3,182.78
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:
$11.1
Explanation:
We can calculate the factory overhead allocated to a unit using multiple department factory overhead rate methods with an allocation base of direct labor hours. In this method, we will divide the te total overhead cost in direct labor hours consumed in that department.
Solution
Direct Labor Overhead rate for Finishing = $550,000/500,000
Direct Labor Overhead rate for Finishing = $1.10 per hour
Direct Labor Overhead rate for Production = $400,000/80,000
Direct Labor Overhead rate for Production = $5
Overhead for DeskLamps = (Direct labor hours in Finishing x Direct Labor Overhead rate for Finishing + Direct Labor hours in Production x Direct Labor Overhead rate for Production)
Overhead for DeskLamps= (1x$1.10 + 2x$5)
Overhead for DeskLamps= $11.1
B. as price rise so will supply, and prices will fall, so will supply
Answer:B. She is entitled to recover the damages if she can show that Roland agreed to pay such damages in his contract with her.
Explanation:
The non payment of the N500 installment by Roland constitute a breach of the sales contract, However an evidence of a commitment to be liable for additional cost that will be incurred will make it possible for Selina to recover the damages.
