The volume of the first pan is (length x width x depth) =
(20cm x 16cm x 4.4cm) = 1408 cm³ .
The batter fills it, so we know there is 1408 cm³ of batter.
Somehow, Carla manages to transfer every drop and smidgen of batter to
the new pan, leaving not a single drip of it in the first pan. So we know that
there is 1408 cm³ of batter in the new pan. It will spread out to fill the whole
length and width of the new pan, and we're to calculate how deep it will be.
(length x width x depth) = 1408 cm³
(20cm x 20cm) x (depth) = 1408 cm³
(400 cm²) x (depth) = 1408 cm³
Divide each side by 400cm² : depth = 1408 cm³ / 400cm²
= 3.52 cm
Since the new pan is 5 cm deep, this works. The batter doesn't
overfill it and glurb out over the top and all over the counter.
The question asked how far the batter is <em>from the top of the pan</em>.
The pan is 5 cm deep.
The batter is 3.52cm deep.
The batter comes up to (5 - 3.52) = 1.48 cm from the top of the pan.
Rounded to the nearest tenth of a cm, that's <em>1.5 cm </em>from the top.
The growth rate is 25%
Initial population, P = 6
Growth rate, r = 25% = 25/100 = 0.25
Number of years, t = 10
Final population, A = ?
A = P * (1 + r) ^t
= 6 * (1 + 0.25) ^10
= 6 * 1.25^10
= 6 * 9.31
= 55.86
Approximately 56
Therefore, approximately 56 rabbits can be expected to exist after 10 years
20.41 is what the correct answe
