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alukav5142 [94]
2 years ago
13

When Derek planted a tomato plant, he expected to be picking his first ripe tomato in 45 days. His estimate was 25% less than th

e actual time. How long did it take before Derek picked his first ripe tomato?
Mathematics
1 answer:
jolli1 [7]2 years ago
3 0

Answer:

60 days.

Step-by-step explanation:

Let the actual time be x, then:

x - 0.25x = 45

0.75x = 45

x = 45/0.75

= 60 days.

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We have the sum of cubes identity

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1^3 + 4^3 = (1 + 4) (1^2 - 4 + 4^2) = 5 \times 13

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Then

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

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

The sum under the square root is this sum with n=5. Then

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Note when x = -2 that the line passes through the point (-2, -2) so when x = -2 then y also = -2.

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