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Lelu [443]
3 years ago
14

Annie plans to purchase a car that will cost her $16,000. After putting down a 20% down payment, how much will Annie need to fin

ance?
Mathematics
1 answer:
bearhunter [10]3 years ago
3 0
Convert 20% to a decimal by dividing by 100, = 0.20

16,000 x 0.20 = 3,200 deposit she paid. Subtract that from the total cost
16,000- 3,200= 12,800
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Can you see an easy way to work out the value of <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%201%5E3%20%2B%202%5E3%20%2B%203%5E
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We have the sum of cubes identity

a^3 + b^3 = (a + b) (a^2 - ab + b^2)

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and

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Then

\sqrt{1^3+2^3+3^3+4^3+5^3} = \sqrt{5\times13 + 5\times7 + 5\times5^2} = \sqrt{5 \times (20 + 25)} \\\\ ~~~~~~~~ = \sqrt{5^2 \times (4 + 5)} = \sqrt{5^2\times9} = \sqrt{5^2\times3^2} = 5\times3 = \boxed{15}

Alternatively, we have the well-known sum of cubes formula

\displaystyle \sum_{i=1}^n i^3 = \frac{n^2(n+1)^2}4

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