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Naddika [18.5K]
3 years ago
14

13. How much money will 8820 Vield in investa

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

9514 1404 393

Answer:

  • 10,247.38 from continuous compounding
  • 10,228.50 from semiannual compounding
  • continuous compounding earns more

Step-by-step explanation:

The formula for the account balance from continuously compounded interest at annual rate r for t years is ...

  A = Pe^(rt) . . . . P = principal invested

  A = 8820e^(0.05·3) ≈ 10,247.38 . . . continuous compounding

__

The formula for the account balance from interest compounded semiannually at annual rate r for t years is ...

  A = P(1 +r/2)^(2t)

  A = 8820(1 +.05/2)^(2·3) ≈ 10,228.50 . . . semiannual compounding

Continuous compounding earns more.

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Julie buys 2kg of apples and 7kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the a
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Answer:

£1.80/kg

Step-by-step explanation:

The total spent on apples and pears is £12.70, and this is the sum of the costs of the apples and the pears respectively:

£12.70 = (unit cost of apples)(2 kg) + (unit cost of pears)(7 kg), or

£12.70 = (unit cost of apples)(2 kg) + (£1.30/kg)(7 kg).

Solving for (unit cost of apples)(2 kg), we get £12.70 - (£1.30/kg)(7 kg), or:

(unit cost of apples)(2 kg) = £12.70 - £9.1 = £3.60

Solving for (unit cost of apples), we divide both sides by (2 kg), obtaining:

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(unit cost of apples) = ---------- = £1.80/kg

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Answer:

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Step-by-step explanation:


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