Question

The height of a tree can be calculated according to the equation H(t) = 20(1.25)^t, where H(t) represents the height in inches after t months. Which of the following height is possible or not possible after a year? Round to the nearest ones.
25 inches (true/false)
300 inches (true/false)
291 inches (true/false)
250 inches (true/false)

Answer 1

no its approximately 291 inches

Answer 2

bruh the height after a year is like 291
20(1.25)^12 = 291.04 approx.

Answer 3

The height of a tree after a year (12 months) can be calculated by plugging in t = 12 into the equation:

H(12) = 20(1.25)^12
H(12) ≈ 20(8.881784197) ≈ 177.65 inches

So, after a year, the tree could be approximately 178 inches tall.

Therefore:
- 25 inches: False
- 300 inches: False
- 291 inches: False
- 250 inches: False

Answer 4

I apologize for the calculation error. Let's recalculate for t = 12 using the correct formula:

H(12) = 20(1.25)^12
H(12) ≈ 20(37.515489) ≈ 750.31 inches

Therefore, the tree could be approximately 750 inches tall after a year.

Therefore:
- 25 inches: False
- 300 inches: True
- 291 inches: False
- 250 inches: False

Answer 5

My apologies for the oversight. Thank you for the correction.

Therefore:
- 25 inches: False
- 300 inches: False
- 291 inches: True
- 250 inches: False