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
dsp73
3 years ago
10

5. Each year a tree farm grows 40 more trees than the number of trees grown the previous year. The farm sells all of their trees

each season (or year). If the farm started out with 30 trees in 2007, how many trees were sold in total up to and including the 2016 season?
Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

<em>1710 trees up to 2016 (not including 2016)</em>

<em>2100 trees up to 2016 (including 2016)</em>

Step-by-step explanation:

Given that

Farm started with 30 trees in 2007.

Every year 40 more trees than the previous year.

It is actually an Arithmetic Progression (AP) with

First term, a = 30 and

Common Difference, d = 40

The AP will look like:

30, 70, 110, 150, ....

We have to find the sum of this AP upto 9 terms and 10 terms:

9 terms sum will give us the total number of trees up to 2016 (not including 2016).

10 terms sum will give us the total number of trees up to 2016 (including 2016).

Formula for sum of 'n' terms of an AP:

S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_9=\dfrac{9}{2}(2\times 30+(9-1)40)\\\Rightarrow S_9=\dfrac{9}{2}(60+320)\\\Rightarrow S_9=\dfrac{9}{2}(380)\\\Rightarrow S_9=9 \times 180 = 1710

S_{10}=\dfrac{10}{2}(2\times 30+(10-1)40)\\\Rightarrow S_{10}=5(60+360)\\\Rightarrow S_{10}=5 \times 420\\\Rightarrow S_{10}=2100

<em>1710 trees up to 2016 (not including 2016)</em>

<em>2100 trees up to 2016 (including 2016)</em>

You might be interested in
The perimeter of a square is directly proportional to the length of one of its sides. The perimeter is 28 when the length of a s
telo118 [61]

Step-by-step explanation:

check the pic

answer is 4

4 0
3 years ago
What is the general form of the equation for the given circle centered at [0, 0)?
sergejj [24]

Answer:

x^2+y^2=r^2 is quation of circle whose centre is (0,0)

3 0
3 years ago
Cody has $700 in a savings account that pays 4% simple interest. how much will he have in one year
Vlada [557]

748....to get the answer you need to do 700/0.04%/365= 748

7 0
3 years ago
Help mayyy pleaseee and tyy
Kay [80]

Answer:

2x=-7y not sure tho just guessping probably wrong sorry

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Sally can paint a room in 4hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the r
Pachacha [2.7K]

Answer:It would take 1.700 hours.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Find an equation in x and y that has the same graph as the polar equation. <br> r sin(θ) = −2
    8·1 answer
  • The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the
    6·2 answers
  • Whats y-1/2 when y =5/6 plsss tell meeee
    15·1 answer
  • Which is greater 2 gallons or 8 liters?
    6·1 answer
  • I’m stuck on this question :/
    15·2 answers
  • Solve for g and h please
    15·1 answer
  • G is the centroid of triangle ABC. What is the length of GF? units
    11·1 answer
  • What is the area of a circle whose diameter is 102
    14·2 answers
  • For each value of x, determine whether it is a solution to x&gt; 8.<br> Is it a solution?
    6·1 answer
  • Daniel rode on his Segway 45 miles in 3 hours. What was his speed in miles per hour?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!