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
Serggg [28]
3 years ago
14

The population of a local species of beetle can be found using an infinite geometric series where a1 = 880 and the common ratio

is one fourth. Write the sum in sigma notation, and calculate the sum (if possible) that will be the upper limit of this population.
Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0
<span>Data:

infinite geometric series

A1 = 880

r = 1 / 4

The sum of a geometric series  in sigma notation is:

  n              1 - r^n
 ∑ Ai = A ----------- ; where A = A1
i = 1             1-r

 When | r | < 1 the infinite sum exists and is equal to</span><span><span>:

  ∞               A
 ∑ Ai =   ---------- ; where A = A1
i = 1          1 - r</span>

So, in this case</span><span><span>:

  ∞               880
 ∑ Ai =    -------------- = 4 * 880 / 3 = 3520 /3 = 1173 + 1/3
i = 1         1 - (1/4)</span>  </span>

Answer: 1173 and 1/3
You might be interested in
Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teac
IrinaK [193]

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

<u>For example, for one year:</u>

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

8 0
2 years ago
A map is drawn with a scale of 1/2 inch to 5 actual. miles. If the map distance is 8 inches, whats the actual. distance
gavmur [86]
1/2 in. = 5 miles
1 in. / 2 = 1/2 in.
8 * 2 = 16
16 * 5 = 80 miles
5 0
4 years ago
Anser it and i'll give brainly, if you write anything and leave am gonna report you
aliina [53]

Answer:

5x2−9x=7 (Option B)

Step-by-step explanation:

this is correct 100%

4 0
3 years ago
How many solutions does this system of equations have? Use either the substitution method or the elimination method. −2x + 4y =
Katen [24]
-2x+4y=4 Equation 1
x-2y=6 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=2y+6 
Substitute value of x in equation 1
-2(2y+6)+4y=4
-4y-12+4y=4
-12=4
-16=0
Which is false. 

Answer: No solution 
7 0
3 years ago
the original price is $448, the sale price is $398, note the original price and the discount price as a percent. find the saving
makvit [3.9K]
The original price is 67 and 4 percent dissocount
7 0
3 years ago
Other questions:
  • Help for number 4 part a and part b
    11·1 answer
  • Multiply. <br> 8 1/2 -2 2/3
    12·2 answers
  • What is |-8|<br> –16<br> –8<br> 8<br> 16
    7·2 answers
  • What is the slope of the line shown?
    14·1 answer
  • Anybody help please ! Step by step
    12·2 answers
  • Just number 14. Nothing other unless u want to
    7·1 answer
  • Please help :P<br> QUESTION: "Choose the correct equation for each of the lines in the graph below."
    6·2 answers
  • 20 POINTS PLEASE HELP URGENT! Chad worked for 4 3/5 hours and earned $34.73.
    9·2 answers
  • X= 3.5 y=14 find y when x=28
    12·2 answers
  • Please answer fast
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!