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3 years ago

14

Soccer field dimensions according to FIFA must be no greater than 120 meters in length. What is the length of the field in kilom

eters?

1 answer:

Yuri [45]3 years ago

6 0

Answer: 0.12 Kilometer

Step-by-step explanation:

120 divided by 1000

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Round this number to the nearest 100 38288

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The answer to this is 38300 hope this helped

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What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl

Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

$A(t) = A(0)(1+r)^t$

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that $r = 0.05$ , and thus:

$A(t) = A(0)(1+r)^t$

$A(t) = A(0)(1+0.05)^t$

$A(t) = A(0)(1.05)^t$

Time for the balance to triple?

This is t for which $A(t) = 3A(0)$ . So

$A(t) = A(0)(1.05)^t$

$3A(0) = A(0)(1.05)^t$

$(1.05)^t = 3$

$\log{(1.05)^t} = \log{3}$

$t\log{1.05} = \log{3}$

$t = \frac{\log{3}}{\log{1.05}}$

$t = 22.52$

It takes 22.52 years for the balance to triple in value.

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2 years ago

If m= 8, then evaluate 2(m+3)/11

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Answer:

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Step-by-step explanation:

Substitute m=8 into the equation

Firstly deal with the bracket

then multiplication

then division

2(11)/11

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Step-by-step explanation:

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