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maksim [4K]
3 years ago
9

Paul has $2,400 in a savings account earning 3.4% simple interest. How much more interest would he earn in 5 years if the intere

st were compounded annually?
Mathematics
1 answer:
bija089 [108]3 years ago
7 0
Amount using compound interest = 2400(1 + 0.034)^5 = 2400(1.034)^5 = 2400(1.1820) = $2,836.70

Amount using simple interest = 2400(1 + 5 x 0.034) = 2400(1 + 0.17) = 2400(1.17) = $2,808

Difference = $2,836.70 - $2,808 = $28.70

Therefore, <span>he will earn $28.70 more interest in 5 years if the interest were compounded annually</span> .
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Help me with this question, please!
AURORKA [14]

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

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Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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