1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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. 



You might be interested in
Q. Mrs. Jackson purchased 8/9 lb of potatoes. She used 3/4 of the potatoes to prepare dinner. How much of the potatoes did Mrs.
kompoz [17]

Answer:

The answer is 5/36

Step-by-step explanation:

first, you are going to convert both of the fractions to have the same dinominator by multiplying by any of their factors.

32/36 - 27/36 = 536

Then you subtract the numerators and that's it

hope I helped :)


7 0
3 years ago
Is the following statement true or false?<br> A line is zero-dimensional.<br> true<br> false
garik1379 [7]
Answer:
False

Explanation:
Zero-dimensional would be a point.
One-Dimensional would be a line.
Two-Dimensional would be a plane.
Three-Dimensional would be a shape.
7 0
2 years ago
Read 2 more answers
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
Nimfa-mama [501]

Answer:

1/2

Step-by-step explanation:

As a decimal it is 0.5 which is exactly between 0 and 1

Hope this helps you :) !

5 0
3 years ago
If f(x) =x -6 and g(c) = x ^2 (x+3) find g(x) • f(x)
scoray [572]

Step-by-step explanation:

option a

x^5 -3√x^2 -18√x

5 0
3 years ago
Glen invested 22000 at 7% interest compound annually. how much interest will glen earn in 3 years
Rama09 [41]
A = P(1+r/n)<span>(nt)
A = 22000(1+0.07/1)^(1*3)
A = 26,950.95



</span>26,950.95 - 22000 = 4950.95

answer: Glen earns $4,950.95 interest in 3 years
3 0
3 years ago
Other questions:
  • you’re having dinner at a restaurant that serves 5 kinds of pasta (spaghetti, bow ties, fettuccine, ravioli, and macaroni) in 4
    11·1 answer
  • I am takin math two, is there any online free tutor that could help me? I’m struggling . Or a YouTube channel to help me?
    12·2 answers
  • What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41
    12·2 answers
  • Clothing dan has 4 pairs of white​ socks 5 pairs of black​ socks, and several pairs of blue socks. has 12 pairs of socks altoget
    12·1 answer
  • What is equivalent to 2(1-x)+3x
    5·1 answer
  • What is 5g+7g and g(5+7)?
    14·2 answers
  • Prove or disprove the figure defined by points A, B, C, d is a rhombus
    11·1 answer
  • (d) (8x2 + 7y2 – z2 + 2yz + 3xz – 5xy) * (2x – 3y) vertical method<br>​
    12·1 answer
  • Can i please get some help on this? Thanks
    15·2 answers
  • Graph 4x + y = 6x - 1<br> Show your work and explain the method used to determine the graph.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!