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klemol [59]
2 years ago
7

My clock in the lounge room is 10 minutes slower than the clock on my phone which is 6 minutes slow. My tram always leaves 6 min

utes early although it is scheduled for 8:55 it takes me 20 minutes to get to the tram stop what time must I leave according to my lounge room clock in order to catch my tram
Mathematics
1 answer:
jasenka [17]2 years ago
7 0
So, the tram is scheduled to be about at 8:55, but it always leaves earlier by 6 minutes, so it really doesn't leave at 8:55 but 6 minutes before or 8:49, so you better be there at 8:49 to catch it.

the Phone Clock is slower by 6 minutes, so 8:49 on the phone will really be 8:43.

the Lounge Clock is slower than the Phone's by 10 minutes, so 8:43 on the phone is really 8:33 on the Lounge's Clock.

now to get to the tram stop, it takes you 20 minutes, so you can't go at 8:33 according to the lounge clock unless you're flash gordon, but you're not, it takes you 20 minutes to get there, so you need to leave 20 minutes before that, or 8:33 - 20 minutes, 8:13.
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Answer:

1. Option D.

2. Option A.

Step-by-step explanation:

1. You need to follow these steps in order to estimate the sum of 8.86 + 9.43 + 5.75:

Step 1: Add the digits in the ones places of the whole numbers (these are: 8, 9 and 5).

Step 2: Round the decimals to the nearest whole number:

0.86\approx 1\\\\0.43\approx0\\\\0.75\approx1

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8+9+5+1+0+1=8+9+5+2=24

2. The procedure to estimate  the difference of 83.92-47.23 is:

83.92-\\47.23\\........\\40.00\\\ -4.00\\\ \ + 0.70\\-0.01\\...........\\+36.00\\+0\ 0.69\\..............\\36.69

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36.69\approx 37

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2 years ago
Diddy Corp. Stock has a beta of 1.2, the current risk-free rate is 6 percent, and the expected return on the market is 14.50 per
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2 years ago
walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

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5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

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Given,

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∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

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Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

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i.e. 5 trees should be planted to maximize the yield per acre,

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Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?
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