3 years ago

Which number is the closest approximation to π/4? 0.85 1.0 0.785 1.273

Mathematics

2 answers:

Akimi4 [234]3 years ago

6 0

Answer:

0,785

Step-by-step explanation:

you just have to type it in the calculator:

π/4= 0,785...

I hope I'm being helpful...!!!

maxonik [38]3 years ago

5 0

Step-by-step explanation:

closest approximation to π/4 = 0.785

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Step-by-step explanation:

To solve this we are using the standard growth equation:

$y=a(1+b)^x$

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$y$ is the final value after $x$ years

$a$ is the initial value

$b$ is the growth factor (yearly rate of appreciation in our case) in decimal form

$x$ is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so $y=475$ , $a=200$ , and $x=6$ .

Let's replace the values in our equation and solve for $b$ :

$y=a(1+b)^x$

$475=200(1+b)^6$

$\frac{475}{200} =(1+b)^6$

$2.375=(1+b)^6$

$\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}$

$1+b=\sqrt[6]{2.375}$

$b=\sqrt[6]{2.375}-1$

$b=0.155$

which rounds to

$b=0.16$

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

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