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kvasek [131]
3 years ago
9

A long distance runner can run 2 miles every 17 minutes. At this rate how ling would it take the runner to run 16 miles.

Mathematics
2 answers:
VLD [36.1K]3 years ago
6 0

Answer:

136 minutes

Step-by-step explanation:

Given :

2 miles ----> takes 17 min

1 mile -----> takes 17/2 min

hence the unit rate is (17/2) min per mile

Thus, 16 miles will take

= (17/2) miles per min x 16 miles

= (17/2) x 16

= 136 minutes

Lesechka [4]3 years ago
4 0

Answer:

136 min

Step-by-step explanation:

lets make it simple.

2 miles / 17 min = 16 miles / x

just cross multiply

2 x = 17 (16)

2 x = 272

x = 272 / 2

x = 136 min

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6 0
3 years ago
An individual saves $5000 in a bank account at the beginning of each year for 10 years.
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b) Amount saved if the interest is compounded semi-annually is $5849.5

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We need to find amount saved if interest is compounded a) annually b) semi-annually

a) Amount saved if the interest is compounded annually

If interest compounded annually, n= 1

Using Formula: A=P(1+\frac{r}{n})^{nt}

Putting values:

A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832

So, Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually

If interest compounded semi-annually, n= 2

Using Formula: A=P(1+\frac{r}{n})^{nt}

Putting values:

A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5

So, Amount saved if the interest is compounded semi-annually is $5849.5

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