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Zepler [3.9K]
2 years ago
15

Bus A and Bus B leave the the bus depot at 2 pm.

Mathematics
1 answer:
Tanya [424]2 years ago
6 0

Answer:

3:15 pm

Step-by-step explanation:

You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.

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The answer would be 23 mL
4 0
3 years ago
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Megan is checking her tax bill for the last year.
Tanya [424]
Given that Megan's tax rates were as follows:
<span>No tax one the first £11000 of earnings
</span><span>Earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
</span><span>Earning in excess of 43000 and up to £150000 taxed at a rate of 40%
</span>Earnings over £150000 taxed at a rate of 45% 
If Megan earned £158900 before tax last year, the amount of tax she paid in total is given as follows:
First <span>£11000 = </span><span>£0 tax
</span>Balance after first <span>£11000 = </span><span>£158900 - </span><span>£11000 = </span><span>£147900
</span>
Next (<span>£43000 - </span><span>£11000 = </span><span>£32000) = 20% of </span><span>£32000 = 0.2 x </span><span>£32000 = </span>£6400 tax
Balance after next <span>£32000 = </span><span>£147900 - </span><span>£32000 = </span><span><span>£115000</span> </span>

Next (<span>£150000 - </span><span>£43000 = </span><span>£107000) = 40% of </span><span>£107000 = 0.4 x </span><span>£107000 = </span><span>£42800 tax</span>
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Remaiming <span>£8000 = 45% of </span><span>£8000 = 0.45 x </span><span>£8000 = </span><span>£3600 tax</span>

Total tax = <span>£6400 + </span><span>£42800 + </span><span>£3600 = </span><span>£52800

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8 0
2 years ago
Find the doubling time for a city whose population is growing by 13% per year
dlinn [17]
Ur equation will be citypop * (1.13^n) where n is the number of years
7 0
3 years ago
Can somebody help me? I’m already failing :(
Yuliya22 [10]

Answer:

125

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f(1)= the first time (32,000)

n= 9

r= .5 (each term is being mulitplied by .5 to get the next one

We have

32,000*(.5)^(9-1)

32,000*(.5)^8

=125

5 0
2 years ago
What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun
kvasek [131]

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

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7 0
2 years ago
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