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zysi [14]
3 years ago
10

An oak tree is 60cm tall. It grows at a rate of 8% per year. A conifer is 50cm tall. It grows at a rate of 15% per year. How man

y years does it take before the conifer is taller than the oak?
Thanks in advance :)
Mathematics
2 answers:
juin [17]3 years ago
5 0
I mite be incerect but i think it would be 2.7
den301095 [7]3 years ago
5 0
Height=height at first(1+rate)^n
n=years

The height of this oak will be:
Data:
height at first=60 cm
rate=8%=8/100=0.08

height=60(1+0.08)^n=60(1.08)^n

The height of this conifer will be:
Data:
height at first=50 cm
rate=15%=15/100=0.15

height=50(1+0.15)^n=50(1.15)^n

The heights of both trees will be the same at n years, therefore:
60(1.08)^n=50(1.15)^n

Now, we can solve this logarithmic equation.
Ln[60(1.08)^n]=Ln[50(1.15)^n]
Ln 60+n*Ln 1.08=Ln 50+n*Ln 1.15
n*ln 1.08-n*Ln 1.15=Ln 50-Ln 60
n(ln 1.08-ln 1.15)=Ln 50-Ln 60
n=(Ln 50 - Ln 60) / (Ln1.08 - Ln 1.15)
n=2.90316784...≈2.9

Answer: 2.9 years. 



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4 0
4 years ago
Is y=y+8 even, odd, or neither
SIZIF [17.4K]

The expression y = y + 8 does neither represent an odd number nor an even number.

<h3>Does represent a given equation an even or odd number or neither?</h3>

In this problem we must check if a given algebraic equation represents an even number or an odd number or neither by using algebraic means. Even numbers are integers, whose last digit is 0, 2, 4, 6 or 8, whereas odd numbers are integers, whose last digit is 1, 3, 5, 7 or 9. Now we proceed to  check the expression:

y = y + 8                     Given

y + (- y) = 8                 Compatibility with addition / Existence of additive inverse / Modulative property

0 = 8                           Existence of additive inverse / Modulative property / Result

The expression y = y + 8 does neither represent an odd number nor an even number.

To learn more on even numbers: brainly.com/question/2289438

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3 0
1 year ago
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NemiM [27]

Answer:

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Given that:

Starting number of boxes = > 100

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Number of boxes left after selling 25

Let the number of boxes left = y

y = starting number of boxes - Numbe rof boxes sold

y = 100 - 25

y = 75

Since the starting number of boxes is more than 100

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