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Dominik [7]
2 years ago
14

Say you are considering two loans. Loan F has a nominal interest rate of 5. 66%, compounded monthly. Loan G has a rate of 6. 02%

, compounded semiannually. Which loan will give the lower effective interest rate, and how much lower will it be? a. Loan G’s effective rate will be 0. 091 percentage points lower than Loan F’s. B. Loan G’s effective rate will be 0. 058 percentage points lower than Loan F’s. C. Loan F’s effective rate will be 0. 302 percentage points lower than Loan G’s. D. Loan F’s effective rate will be 0. 149 percentage points lower than Loan G’s.
Business
1 answer:
AnnZ [28]2 years ago
5 0

When the effects and impacts of compounding over time are taken into account, the effective annual interest rate is the true return on a savings account or any other interest-paying investment.

Option C is the correct answer:  Loan F's effective rate will be 0.302 percentage points lower than Loan G's.

<h3>Given</h3>

The interest rate on loan F is 5.66 percent per month, compounded.

The interest rate on loan G is 6.02 percent, compounded semi-annually.

<h3>Computations of effective rates</h3>

\text{Effective rate for loan F}:\\\\r = 1+\frac{0.0566}{12}^{12} - 1 \\\\\n=12\\\\\\text{or}\\\\\r=0.0580916\\\\\\\text{Effective rate for loan G}\\\\r = 1+\frac{0.0602}{12}^{2} - 1 \\\\\\n = 2\\\text{or}\\\\\r=0.0611106\\\\\\\text{ The difference between the loans for G and F}:\\\\=0.061106-0.058091\\\\=0.00302\\\\\text{or}\\\\=0.00302 \text{ x } 100\\\\=0.302 \text{percent}

Therefore, option c is the correct answer.

For more information about the related question, refer below

brainly.com/question/25857212

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6 0
3 years ago
The cost of the merchandise inventory that the business ▼ has sold to customers.
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8 0
3 years ago
Hong invested his savings in two investment funds. The 5000 that he invested in Fund A returned a 3% profit. The amount that he
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Answer:

amount invest in B is 2000

Explanation:

given data

invested in Fund A = 5000

return profit A = 3%

return profit B = 10%

both together returned profit =  5%

solution

we consider here amount invest in B = x

so profit from fund B is

profit from fund B =  10% ×  x = 0.1 x

and

profit from fund A = 5000 × 3% = 150

so total profit = 0.1x + 150

and total profit = 5%

so we can say

5%  = \frac{0.1x+150}{5000+x}

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3 0
3 years ago
During its first year of operations, Silverman Company paid $14,000 for direct materials and $19,000 for production workers' wag
hjlf

Answer:

GROSS MARGIN = 33.33%

Explanation:

PRODUCTION COST COMPONENTS

  • Direct materials 14,000  
  • Direct work 19,000  
  • Lease and utilities 17,000

TOTAL PRODUCTION COST = 50,000

TOTAL UNITS PRODUCED = 5,000

UNIT COST= (Total Production Cost / Total Units Produced) = 50,000 / 5,000 = 10  

FINAL GOODS INVENTORY = (Total Units Produced – Total Units Sales) = 5,000 – 3,000 = 2,000

FINAL GOODS INVENTORY AMOUNT = (Final goods Inventory * Unit Cost) = 2,000 * 10 = 20,000

SALES REVENUE= (Sold Units * Sale Price) = (3,000 * 15) = 45,000

COST OF SOLD GOODS (a) = (Sold Units * Unit Cost) = 3,000 * 10 = 30,000

COST OF SOLD GOODS (b) = (Beginning Balance + Production cost – Final Balance) = 0 + 50,000 – 20,000 = 30,000

GROSS MARGIN = ((Sales Revenue – Cost of sold Goods) / Sales Revenues) * 100 = ((45,000 – 30,000) / 45,000) * 100 = 33.33%

COST OF SOLD GOODS (a) Calculated according to the inventory unit cost

COST OF SOLD GOODS (b) Calculated as the difference in inventory

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Accounts receivable and notes receivable are shown as a(n) ____ company's balance sheet. A. liability
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