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ankoles [38]
3 years ago
13

During the national day celebrations.Asha decorates her balcony with serial lights of red,green and white colours.The red light

blinks st intervals of 4 seconds,the green at 5 seconds and the white at 6 seconds.If all three coloured lights blink together at 8:49 pm,when will they blink together again?
Mathematics
1 answer:
expeople1 [14]3 years ago
6 0

If all three coloured lights blink together at 8:49 pm, they will blink together at 8:50 pm

<u>Solution:</u>

Given that the red light blinks at intervals of 4 seconds, the green at 5 seconds and the white at 6 seconds.

If all three colored lights blink together at 8:49 pm,

We have to find when will they blink together again?

First let us know, at what intervals they all together blink.

For that we have to find the lcm of 4, 5, 6.

L.C.M (4, 5, 6) = 2 x L.C.M(2, 5, 3)

As 2,3,5 are primes, we can’t take common further, so multiply all  

= 2 x 2 x 5 x 3

= 4 x 15  = 60

So, after every 60 seconds = 1 minute they will blink.

Then, after 8 : 49 pm, they will blink at 8 : 49 + 1 = 8 : 50 pm.

Hence, they all blink at 8 : 50 pm.

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Step-by-step explanation:

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3 years ago
You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w
DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

A=P(1+\frac{r}{100})^{n}

Where A = Future value

           P = Present value

           r = rate of interest

           n = time in years

Now we put the values

A=670(1+\frac{7.1}{100})^{15}

A=670(1+0.071)^{15}

A=670(1.071)^{15}

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

A=670(1+\frac{6.5}{100})^{15}

A=670(1+0.6.5)^{15}

A=670(1.065)^{15}

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

8 0
3 years ago
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