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
stellarik [79]
2 years ago
13

On 1st September 2014 there were 5400 trees planted in a wood.

Mathematics
1 answer:
Aliun [14]2 years ago
3 0

Answer:

1. a = 5400

2. r = 0.96

3. Percentage decrement = 65.4%

Step-by-step explanation:

Given

N = ar^t

Solving (a): Write down the value of a

a implies the first term

And from the question, we understand that the initial number of trees is 5400.

Hence,

a = 5400

Solving (b): Show that r = 0.96

Using

N = ar^t

When a = 5400, t = 1 i.e. the first year and N = 5184

Substitute these values in the above expression

5184 = 5400 * r¹

5184 = 5400 * r

5184 = 5400r

Solve for r

r = 5184/5400

r = 0.96

Solving (c): Show that the trees has decreased by over 65% in 2040

First, we need to calculate number of years (t) in 2040

t = 2040 - 2014

t = 26

Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left

N = 5400 * 0.96^26

N = 1868.29658019

N = 1868 (approximated)

Next, we calculate the percentage change as thus:

%Change = (Final - Initial)/Initial * 100%

Where the initial number of trees =5400 and final = 1868

%Change = (1868 - 5400)/5400 * 100%

%Change = -3532/5400 * 100%

%Change = -3532%/54

%Change = -65.4%

The negative sign indicates a decrements or reduction.

Hence, percentage decrement = 65.4% and this is over 65%

You might be interested in
Spinning a loop of wire between the poles of a magnet will induce an electric current. Which of the following conditions will mi
Rina8888 [55]
By definition, electromagnetic induction is the term that is generally used to describe the method of generating a potential difference across a conductor through a changing magnetic field. In addition, the induce current would be minimised if the loop is placed parallel to the magnetic field itself. Therefore, C. 
6 0
3 years ago
(x−5) ^2 in expanded
Licemer1 [7]

Answer:

x^{2}-10x+25

Step-by-step explanation:

We can rewrite the question as (x-5)*(x-5).

Using the FOIL Method (First, Outside, Inside, Last):

x^{2}-5x-5x+25

This simplifies to x^{2}-10x+25

6 0
3 years ago
Read 2 more answers
PLEASE HELP I HAVE 6 MINUTES LEFT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
lord [1]

Answer:the answer is D

Step-by-step explanation:

4 0
2 years ago
Hadlee got 18 out of 20 questions correct on her math quiz. What percent of the questions did she get right?
adelina 88 [10]
It would be a 90%. In the calculator 18 is what percent of 20.
4 0
3 years ago
Read 2 more answers
Find the measure of angle Y and the length of side XY of parallelogram WZYZ.
Sveta_85 [38]
XY=WZ=28. (Opposite sides of a parallelogram are equal)

Angle Z=angle C=105
=>angle Y=180-105=75. (Co-interior angles are supplementary)
Hope this helps u...!!
8 0
3 years ago
Other questions:
  • 72% full as a decimal
    5·2 answers
  • What patter is the you see in the factors in products
    5·1 answer
  • What is the m∠q ?????????????????????? help i taking a test and imma get beat if i fail
    13·2 answers
  • Need to know how to work out 3762 decide by six
    5·1 answer
  • 30% of the vehicles in a used car lot are trucks. 10% of the vehicles are green. 3% of the vehicles are green trucks. what is th
    12·2 answers
  • 16 + s = -90 please solve this :)
    5·1 answer
  • In January 2011, the national average for 5 gallons of gasoline was $17.20.<br> Please hurry
    15·1 answer
  • Can you find the perimeter and area of the figure?
    8·2 answers
  • What is the answer to this help?!
    10·1 answer
  • Plot the axis of symmetry and the point where the maximum value occurs for this function: h(x) = -(x 2)2 8.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!