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3 years ago

Jane buys a lawnmower at 75% off of the original price. She pays $22.What was the original price

Mathematics

1 answer:

11111nata11111 [884]3 years ago

3 0

The original price was $38.50

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A gold coin appreciated in value from $200.00 to $475.00 in 6 years. Find the yearly rate of appreciation. Show or explain all w

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Answer:

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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 $b$ :

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

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

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

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

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

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