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tresset_1 [31]
3 years ago
6

A train leaves L.A. at 2pm and heads north at 50mph. If the next train leaves the station 3 hours later and heads north at 60 mp

h, what time will the second train catch up with the first?
Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

Answer:

  • 8 AM

Step-by-step explanation:

  • Start time = 2 PM
  • Speed of the first train = 50 mph
  • Speed of the second train = 60 mph
  • Trains head same direction
  • The second train spends 3 hour less time than the first but both take same distance

<u>Let the time in travel for the first train be x, then we have equation for distance:</u>

  • 50x = 60(x - 3)
  • 50x = 60x - 180
  • 60x - 50x = 180
  • 10x = 180
  • x = 18 hours

<u>Time when the second train caches up the first one:</u>

  • 2 PM + 18 hours = 8 AM next day
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Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

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80% of 175000 is = 0.8\times175000 = $140000

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Emi formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 30*12=360

Putting values in formula we get

\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }

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For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 30*12=360

Putting values in formula we get

\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }

= $245.301

Adding both the monthly payments:

729.508+245.301=974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

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A person wants to create a vegetable garden and keeps the rabbits out by enclosing it with 100 feet of fencing. The area of the
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Answer:

The garden can not have area of 700ft^2

Step-by-step explanation:

We are given equation for area as

A(w)=w\times (50-w)

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now, we are given area =700 ft^2

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now, we can plug values

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