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
konstantin123 [22]
3 years ago
11

A tree double in weight in three months. How long will it take to be 1600% in weight? (Linear or exponential growth?)

Mathematics
1 answer:
Ray Of Light [21]3 years ago
6 0

Answer: 12 months

Step-by-step explanation:

Given : A tree double in weight in three months.

Since the weight is increasing by growth factor of 2 , therefore its is an exponential growth.

The exponential growth equation is given by :-

y=Ab^x   (1)

, where A is the initial values , b is the growth factor and x is the time period.

As per given , b= 2

Since the tree doubles in weight in three months, so time period x =\dfrac{t}{3} , where t= number of months.

Substitute the value of  b and x in (1) , we get

y=A(2)^{\dfrac{t}{3}} , where y= weight of tree after t months and A is initial weight of tree.

When it will be 1600% of his initial weight , the weight of tree : y= 1600% of A =\dfrac{1600}{100}\times A=16A

At y= 16 A , 16A=A(2)^{\dfrac{t}{3}}

\Rightarrow\ 16=2^{\dfrac{t}{3}}

\Rightarrow\ 2^{4}=2^{\dfrac{t}{3}}

\Rightarrow\ 4=\dfrac{t}{3}\Rightarrow\ t=3\times4=12

Hence,  it will take 12 months to be 1600% in weight.

You might be interested in
Renita started her homework at 3:45 P.M. She worked for 2 hours and 15 minutes. What time did she finish her homework?
Flauer [41]

Answer:

6:00 or 6 o'clock

Step-by-step explanation:

1) Add 2 to the hours. So, 3+2=5

2) Add 15 minutes to 45 minutes. So, 15+45=60

3) 60 minutes is an hour, so therefore add one more hour. 5+1=6

4) There are 6 hours and 0 minutes.

So, the time that Renita finished her homework was 6:00.


Hope this helps!!                                                             ~Carley R.

8 0
3 years ago
Find the stated lengths in each parallelogram
alexandr1967 [171]

Answer:

40/3, 172/3, respectively

Step-by-step explanation:

x + 9 = 2y

2x = 2y + 2

x + 9 = 2(2x - 2)

4x - 4 = x + 9

3x - 13 = 0

x = 13/3

y = 40/6

RT = 13/3 + 9 = 40/3

QS = 160/3 + 4 = 172/3

8 0
3 years ago
Which ratio is equivalent to 3/7? <br> A) 6 to 10<br> B) 9:12<br> C) 12/35<br> D) 7 to 3
Leona [35]

we are ratio as

=\frac{3}{7}

It will be equivalent to only those terms which would be multiple of this term

so, we will multiply top and bottom term by 5

and we get

=\frac{3\times 5}{7\times 5}

=\frac{15}{7\times 5}

=\frac{15}{35}

so, it is very similar to 12/35

so, it will be equivalent to 12/35

so, option-C.......Answer

7 0
3 years ago
Okay so this is for my math homework that I wasn't able to do earlier.
WITCHER [35]

What is the question?????

4 0
3 years ago
10x=5x2−1. Complete the square
vitfil [10]

Answer: I did the test too

4 0
1 year ago
Other questions:
  • Please help need Help ASAP
    7·2 answers
  • Convert 4 1/2 inches to a decimal
    11·2 answers
  • I eat 2 spoons of nuts every day for a week. Then I eat 3 spoons for the following w weeks. How many spoons did I eat on average
    15·1 answer
  • Need help with 13 and 14
    10·1 answer
  • A person on a moving sidewalk travels 21 feet in seven seconds. The moving sidewalk has a length of 180 feet. How long will it t
    12·2 answers
  • The Sum of The Angles in a Triangle please dont answer yet have to add attachemnt
    15·2 answers
  • Which diagram shows parallel lines cut by a transversal?
    9·2 answers
  • (5x^3-8x^2+9x+12)/(x-3)<br><br> please answer with sentences on how to do it step by step. thanks!
    14·1 answer
  • 3. Solve the equation for x: 3x - 4 = 7x + 8
    12·2 answers
  • You deposit $4500 in an account that earns 2% per year simple interest. The
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!