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Nitella [24]
4 years ago
14

At the Boston Marathon there were 20,000 runners who finished the race. Each runner ran a distance of 26 miles. If you add toget

her the total number of miles for all runners combined, how many times around the globe would the marathon runners have gone. Consider the circumference of the earth to be 2.5×104 2 . 5 × 10 4 miles.
Mathematics
1 answer:
andre [41]4 years ago
4 0

Answer:

the runners have gone 20.8 times around the globe all together

Step-by-step explanation:

At the Bostom Marathon, we have a total of

N = 20,000 runners

We know that each runner ran a distance of

d = 26 miles

Therefore, the total distance travelled by all runners combined is:

D=Nd=(20,000)(26)=5.2\cdot 10^5 mi

We know that the circumference of the Earth is

c=2.5\cdot 10^4 mi

Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:

n=\frac{D}{c}

And substituting the values, we find:

n=\frac{5.2\cdot 10^5}{2.5\cdot 10^4}=20.8

So, the runners have  gone 20.8 times around the globe all together.

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Step-by-step explanation:

A carpenter bought 5 identical boxes of nails. She used 25 nails for a project and now has 435 nails left. Which equation can be solved to find the number of nails in each box.

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Multiplication equation would you use to check the quotient of 5/8 divided by 2 = 5/16
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Step-by-step explanation:

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4 years ago
On the 1st of January 2014 Carol invested some money in the bank account. the account pays 2.5% compound interest per year on fi
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Answer:

The initial amount invested into the account on 1st January 2014 was £23,360

Step-by-step explanation:

In order to calculate the initial deposit in question, we will have to make use of the formula for calculating compound interest:

Fv = Pv × (1 + r)^t ------ since it was compounded annually.

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t = time (years)

Here, r = 2.5% or 0.025

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Fv = x × (1 + 0.025)^1

Fv = x × (1.025)

Fv = £1.025x

Therefore, the amount that will be in the account as at 31st Dec 2014 is = £1.025x.

Now, if the owner of the account then withdraws a sum of £1,000 from the account on the 1st of Jan 2015, then the balance that will be in the account after the withdrawal will be = £1.025x - 1000. This will now be the principal or present value that will accrue interest for the year - 2015.

Again, we were told that that the future value or the balance on the 1st of Jan 2016 will be £23,517. We will then once again use the compound interest formula, making the present value (1.025x - 1000) the subject of the formula so that we can solve for x. Once "x" is determined, then we have exposed the initial deposit that was made into the account on the 1st of January 2014.

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23,517 = 1.050625x - 1025

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Then making "x" the subject of the formula:

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x = £23,360

Therefore, the initial deposit that Carole made into the account on 1st January 2014 was £23,360

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