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4 years ago

10

if L, M, and N are collinear with M BETWEEN L and N, MN = 5, and LN = 18, then what is the length LM?

1 answer:

bulgar [2K]4 years ago

7 0

Answer:

$LM = 13$

Step-by-step explanation:

Given

$MN = 5$

$LN = 18$

Required

$Find\ LM$

Since, M is between LN, we have:

$LN = LM + MN$

Substitute values for MN and LN

$18 = LM + 5$

Make LM the subject

$LM = 18 - 5$

$LM = 13$

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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

Travka [436]

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

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

Were

$y$ 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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Mandarinka [93]

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Step-by-step explanation:

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kupik [55]

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Answer:

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Step-by-step explanation:

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3 years ago

Which expresses 216:270 in its simplest form

NeX [460]

<span>216:270 = 4:5

divide top and bottom by 54
hope it helps</span>

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3 years ago

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