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aliina [53]
2 years ago
9

The debate team is showing a video of their recent debate. The first showing begins at 3:15 p.m. The second showing starts at 4:

50 p.m with a 1/2 break between the showings. The second showing started 20 minutes late. Will the second showing be over by 6:30 p.m? EXPLAIN you answer.
Mathematics
1 answer:
Ghella [55]2 years ago
7 0
Given:
3:15 pm - start of first showing.
30 minutes break;
20 minutes late - 2nd showing.
4:50 - start of second showing.

4:50 - 0:20 = 4:30 should be the start of the second showing.
4:00 - 4:30 = 1/2 hour break
3:15 - 4:00 = duration of the 1st showing. 45 minutes in all.

4:50 + 0:45 = 5:35 pm end of the 2nd showing.

Yes, the 2nd showing will be over by 6:30 pm. 
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see the explanation

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we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

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P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

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step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

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substitute in the formula above

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step 3

Compare the final amount

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