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Studentka2010 [4]
3 years ago
15

Mr. Collins made 20 bird houses to sell at a carnival. He earns $15 for each bird house he sells. How much will Mr. Collins earn

if he sells all 20 bird houses?
A. $35
B. $55
C. $300
D. $400
Mathematics
1 answer:
navik [9.2K]3 years ago
4 0

Answer:

C. $300

Step-by-step explanation:

We have been given that Mr. Collins made 20 bird houses to sell at a carnival. He earns $15 for each bird house he sells.

To find the amount earned by Mr. Collin after selling all 20 bird houses, we need to multiply 20 by amount earned by selling each bird house.

\text{Amount earned by Mr. Collin after selling all 20 bird houses}=\$15\times 20

\text{Amount earned by Mr. Collin after selling all 20 bird houses}=\$300

Therefore, Mr. Collin will earn $300, if he sells all 20 bird houses.

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You borrow $5,000 from your parents to purchase a used car. The arrangements of the loan are such that you make payments of $250
AfilCa [17]
Part A:
1st month: Interest payable = 1% of $5,000 = $50.00
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2nd month: Interest payable = 1% of $4,750 = $47.50
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3rd month: Interest payable = 1% of $4,500 = $45.00
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4th month: Interest payable = 1% of $4,250 = $42.50
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5th month: Interest payable = 1% of $4,000 = $40.00
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Unpaid balance = $4,000 - $250 = $3,750

6th month: Interest payable = 1% of $3,750 = $37.50
Amount paid in sixth month = $250 + $37.50 = $287.50
Unpaid balance = $3,750 - $250 = $3,500

7th month: Interest payable = 1% of $3,500 = $35.00
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8th month: Interest payable = 1% of $3,250 = $32.50
Amount paid in eighth month = $250 + $32.50 = $282.50
Unpaid balance = $3,250 - $250 = $3,000

9th month: Interest payable = 1% of $3,000 = $30.00
Amount paid in ninth month = $250 + $30.00 = $280.00
Unpaid balance = $3,000 - $250 = $2,750

10th month: Interest payable = 1% of $2,750 = $27.50
Amount paid in fouth month = $250 + $27.50 = $277.50
Unpaid balance = $2,750 - $250 = $2,500

11th month: Interest payable = 1% of $2,500 = $25.00
Amount paid in seventh month = $250 + $25.00 = $275.00
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12th month: Interest payable = 1% of $2,250 = $22.50
Amount paid in eighth month = $250 + $22.50 = $272.50
Unpaid balance = $2,250 - $250 = $2,000



Part B:
Number of payments = 5000 / 250 = 20
Total amount of interest = 50 + 47.5 + 45 + . . . + upto the 20th payment.
This is an arithmetic sequence with the first term as 50, common difference as -2.5 and number of terms = 20.

Sum of the first 20th term of the GP is given by
S_n= \frac{20}{2}[2(50)+(20-1)(-2.5)] \\  \\ =10(100-2.5(19))=10(100-47.5) \\  \\ =10(52.5)=\$525.00

Therefore, the <span>total amount of interest paid over the term of the loan is $525.00</span>
8 0
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