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
Ostrovityanka [42]
3 years ago
10

What is the sum of an 8-term geometric series if the first term is -11, the last term is 859,375, and the common ratio is -5?

Mathematics
1 answer:
NikAS [45]3 years ago
3 0
Formula of the sum of the 1st nth term in a Geometric Progression:


Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)

Sum = (-11)[1-(-5⁸)] /[(1-(-5)]

Sum = (-11)(1- 390625)/(6)


SUM = 716,144
You might be interested in
6) Find the probability of rolling a multiple of 1.
Vikki [24]

Answer:

6/6??

Step-by-step explanation:

1 is a multipe of every number

i am guessing out of one roll

there are six sides

8 0
2 years ago
Read 2 more answers
Find the slope<br><br> -3/5<br><br> 3/5<br><br> 5/3<br><br> -5/3
Monica [59]
The slope is y=-5/3x+2
8 0
1 year ago
The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the pop
NikAS [45]

Answer:

  • p(t) = 100×1.0153^(12t)
  • 1.53% per month

Step-by-step explanation:

In general, the function will be written ...

  p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

  growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

  1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

  p(t) = 100×1.20^t

__

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

  p(t) = 100×(1.20^(1/12))^( 12t)

  p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

  1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

5 0
2 years ago
Read 2 more answers
abby baked 48 cookies and divided them evenly into bags. let b represent the number of bags. write and algebraic expression to r
dybincka [34]
The words literally tell you what to do.
<em>b</em> = the number of bags.

You need to "divide the cookies evenly"

We have "48 cookies".

Now we need to put that together.

48/<em>b</em> is your answer.
<em>
</em><em>Don't forget to rate this answer the Brainliest!</em>


7 0
3 years ago
A positive integer is 1010 more than 2727 times another. their product is 1211712117. find the two integers.
Goshia [24]
1010 + 2727x = y
x*y = 1211712117
x*(1010 + 2727x) = 1211712117
2727x^2 + 1010x - 1211712117 = 0

Here's the nasty part.
In order for this to work, the square root of the quadratic formula must come back with an integer. In fact sqrt (b^2 - 4ac) comes back with
3635568.29 something. which is not a whole number. Either there is an error in the givens or something, but this question is never going to do what you think it will do.
4 0
3 years ago
Other questions:
  • Finding coordinates on a curve given a line parallel to the tangent of the curve.
    11·1 answer
  • How many red beads will Elena need to make<br> 16 bracelets?
    11·1 answer
  • Need help with question
    11·1 answer
  • How does 2^3 times 4^3= 2^9
    9·2 answers
  • What is the value of x in:<br>3x + 2(x + 1) = 12?<br>A.12<br>B.6 <br>C.10<br>D.2​
    14·2 answers
  • Select all equations for which the point (2,3) is on the graph of the equation.
    11·1 answer
  • Help fast 6th grade math
    9·2 answers
  • A team of explorers going to South Pole expect to travel 1014.15km in total the team expect their average sped for expidition n
    11·1 answer
  • What is 1/1 of a full rotaion
    15·2 answers
  • Heres my question: A water park keeps track of the number of times each visitor goes down water slides during their visit . The
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!