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
Nookie1986 [14]
3 years ago
14

The population of a type of local frog can be found using an infinite geometric series where a1 = 84 and the common ratio is one

fifth. Find the sum of this infinite series that will be the upper limit of this population.
Mathematics
2 answers:
aleksley [76]3 years ago
3 0
The series is 84(1+1/5+1/25+...)=84(1/(1-1/5)=84÷4/5=84×5/4=21×5=105. Upper limit is 105.
dedylja [7]3 years ago
3 0

Answer:

The sum is 105

Step-by-step explanation:

Given that the population of a type of local frog can be found using an infinite geometric series where a1 = 84 and the common ratio is one fifth.

we have to find the sum

\text{Common ratio}=r=\frac{1}{5} 

If r^2 infinite series converges, otherwise it diverges.

Since the sum of any geometric sequence is:

S_n=\frac{a(1-r^n)}{(1-r)}

whenever r^2 the sum of the infinite series is

S_n=\frac{a}{(1-r)}

Since a=84 and r=\frac{1}{5} the sum of infinite series

S_n=\frac{84}{(1-\frac{1}{5})}

    =\frac{84}{\frac{4}{5}}

    =\frac{5\times84}{4}=105

Hence, the sum is 105

You might be interested in
"Four more than a number is at least 22"
Reika [66]

Answer:

4 + x < 22

that's what the equation is

Step-by-step explanation:

a number just means a variable ex: x, y

at least is this : <

so 4 + x < 22

5 0
2 years ago
Read 2 more answers
Find the area of the shaded region for the given figure in terms of x.
Vlada [557]

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

                                             = (x + 2)(x + 2)

                                             = (x + 2)²

                                             = x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

                                             = (x - 1)²

                                             = x² - 2x + 1

Area of the shaded region  = (x² + 4x + 4) - (x² - 2x + 1)

                                             = 6x + 3

Area of the shaded region = (6x + 3)

4 0
2 years ago
In the following proportion, what does w equal? 3/4 = w/28<br><br> A. 7<br> B. 8<br> C. 18<br> D. 21
DIA [1.3K]
W=21
To get from 4 to 28 you multiply by 7, so 3x7=21.
7 0
3 years ago
Read 2 more answers
What is the equation of the line that has a slope of 3 and passes through the point (1,-2)?
Vera_Pavlovna [14]

Answer:

y = 3x - 5

Step-by-step explanation:

y = mx + b

y - b = mx

-b = mx - y

b = -mx + y

b = -3(1) -2

b = -5

3 0
2 years ago
The angle measures 36°, 62°, 118°, and 144° are written on slips of paper. You choose two slips of paper at random.
Cerrena [4.2K]

1/4 would be the answer. Let me explain why first. You have in total 4 numbers with different out comes when added together. So your equation will start out as 4² = 16 out of the 16 different factors you have 4 sets that equal 180°. Your new fraction would be 4/16 which can be divided by 4 to equal 1/4. Hopes that helps!

6 0
3 years ago
Other questions:
  • A circle has a diameter with endpoints (-7, -1) and (-5, -9). What is the equation of the circle? r2 = (x + 6)2 + (y + 5)2 r2 =
    11·1 answer
  • ASAP! Due tomorrow! 25 points! Read the word problem. Write an equation to represent the word problem. Solve the equation. Durin
    7·1 answer
  • Kelly wants to replace the floor in her bathroom. The area of the bathroom floor is 48 square feet. If the marble tile she wants
    8·2 answers
  • Please help what is the value of x
    14·2 answers
  • Solve for x in the equation x^2 + 4x - 4 = 8
    8·2 answers
  • A bag contains eight blue marbles six red marbles and four green marbles what is the probability of selecting a red marble repla
    7·1 answer
  • Solve the equation<br> 3x/ 8 - 4x/3 =4
    11·1 answer
  • 7th grade help me please :))
    15·1 answer
  • 15 quarts=_cups how many cups???
    6·2 answers
  • At South High School, 37% of the teachers are between 22 and 30 years old, 25% are between 31 and 40
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!