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miskamm [114]
2 years ago
10

Given the median QR and trapezoid MOPN, what is the value of x?

Mathematics
1 answer:
EleoNora [17]2 years ago
8 0

Answer:

D. 5

Step-by-step explanation:

Based on the midsegment theorem of a trapezoid, thus:

QR = ½(OP + MN)

Substitute

27 = ½((5x - 7) + (6x + 6))

27 = ½(5x - 7 + 6x + 6)

Add like terms

27 = ½(11x - 1)

Multiply both sides by 2

2*27 = 11x - 1

54 = 11x - 1

54 + 1 = 11x

55 = 11x

55/11 = x

5 = x

x = 5

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- Compound continuous interest can be calculated using the formula:

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- A = the future value of the investment, including interest

- P = the principal investment amount (the initial amount)

- r = the interest rate  

- t = the time the money is invested

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∵ The rate is 6.25%

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∵ The future value is $6000

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∴ r = 6.25/100 = 0.0625

∴ t = ?

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∴ A = 2000 e^(0.0625×5) = $2733.68

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