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Dr. Chen studies a coral species that reproduces at a rate of 15 new polyps per 100 existing polyps annually. Starting with 4,000 polyps, how many will exist after 2 years assuming no mortality?
The Apple engineers AR app tracks 12 real-world anchors, each requiring 1.4 MB of memory. If the app has a total memory budget of 20 MB and other services use 5.2 MB, how many additional anchors can be tracked within limits?
But since usage exceeds budget, no additional anchors can be added.
John tests a biodegradable coating that reduces water absorption by 22% each layer. If untreated material absorbs 50 mL, how much does a three-layer coated sample absorb?
From condition 1, $c = 100$. Substitute $c$ into conditions 2 and 3:
From equation 1, express $b$ in terms of $a$:
Now substitute $a = 25$ back into $b = 50 - a$:
Thus, the values are $a = 25$, $b = 25$, and $c = 100$. Therefore, the solution is:
According to Newtons second law, $F = ma$. Given $F = 3(a + 2)$ and $m = a + 3$, substitute these into the equation:
Since acceleration is typically considered in a context where physical quantities are non-negative, we choose the positive solution: