To calculate this, a specific formula will be necessary. Years = log (total/principal) / [n * log (1 + rate / n)]. Part A) For Calvin: $400 at 5% monthly results in $658.80; Time =? Monthly compounding, n = 12. Thus, Years = log(658.80/400) / [12 * log(1+ (.05/12))]. Subsequently, Years = log(
1.647) / (12 * log(1.0041666667)). Then, Years = 0.21669359917 / 12 * 0.0018058008777. Thus resulting in Years = 0.21669359917 / 0.0216696105. Ultimately, Years ≈ 9.999884362. Part B) For Makayla: $300 at 6% quarterly yields $613.04; Time=? Quarterly compounding, n = 4. Therefore, Years = log(613.04/300) / [4 * log (1 +.06/4)]. This results in Years = log(2.0434666667) / (4 * log(1.015)). Years thus equals 0.31036755784 / (4 * 0.0064660422492), resulting in Years ≈ 11.9999044949. The approximate difference is about 3 years.
Answer E is correct, as when rounded to 3 mph and divided by 2, it yields 1.5. Since an hour consists of 60 minutes, halving that gives 30 minutes. However, because you walked a bit slower, it would actually take 5 additional minutes.
therefore
and you are probably aware of the amount.
It is provided that
We need to determine t when d equals 74
Thus, 
or
t(16t + 37) - 2(16t + 37) = 0
(t - 2)(16t + 37) = 0
t - 2 = 0 or 16t + 37 = 0
t cannot be negative.
Thus, t equals 2
Therefore, it will require 2 seconds for the object to cover 74 feet.
