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dlinn [17]
4 years ago
11

The bells at two churches ring on different schedules. One bell rings every half an hour. The other bell rings every 45 minutes.

If both bells rang at 8 AM this morning, what time will it be when the both bells ring again at the same time?
Mathematics
1 answer:
Burka [1]4 years ago
3 0
If they ring at 8am and you're trying to find the next time they ring do 45+45=1 hour and 30 minutes and 30+30+30= 1 hour and 30 minutes and you end up with 9:30 am. so your answer is 9:45 AM
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\begin{array}{rcl}2 & = & \left (1 + \dfrac{0.0675}{4} \right )^{4t}\\\\&= & (1 + 0.016875 )^{4t}\\& = & 1.016875^{4t}\\\ln 2& = & 4 (\ln 1.01688)\times t \\& = & 0.066937t\\t& = & \dfrac{\ln 2}{0.066937}\\\\& = & \textbf{10.355 yr}\\\end{array}

3. Brianna's doubling time vs Adam's

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