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
insens350 [35]
3 years ago
12

Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.

Mathematics
1 answer:
KiRa [710]3 years ago
4 0

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

You might be interested in
you have decided to purchase a car for $15,699. the credit union requires a 10% down payment and will finance the balance with a
ycow [4]
Its D! Hope this helps :))
8 0
3 years ago
Use the T-table below to determine 3 solutions to this equation: y = 2x
Jet001 [13]
The table is attached as a figure

The given equation is ⇒⇒⇒⇒ y = 2x
To solve this equation, we need to pick numbers from the table then this number will be substituted into the equation to find y
we need 3 solutions . so, we need to pick 3 numbers of x
From the table, let us choose x = 0
y = 2x
y = 2 * (0)
y = 0

From the table, let choose second value of x such as x = 1
y = 2 * (1)
y = 2

From the table, let choose third value of x such as x = -1
y = 2 * (-1)
y = -2

So, the picked three solutions are
y = 0  at   x = 0
y = -2  at  x = -1
y = 2 at  x = 1



3 0
3 years ago
Write Successor of 999 please help me ​
madam [21]

Answer:

1000

Step-by-step explanation:

The successor of 999 is 1000

999+1=1000

<em><u>SUCCESSOR</u></em>

<u>The number which comes immediately after a particular number is called its successor.  The successor of a whole number is the number obtained by adding 1 to it.  Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.</u>

6 0
3 years ago
The perimeter of a rectangular swimming pool is 160 feet . The length of the swimming pool is four times its width. Find the dim
Murrr4er [49]
Formula for Perimeter of Rectangle:

P = 2(L + W)

Plug in 160:

160 = 2(L + W)

L = 4W
So we can plug in '4W' for 'L' in the first equation.
<span>160 = 2(L + W)

160 = 2(4W + W)

Combine like terms:

160 = 2(5W)

160 = 10W

Divide 10 to both sides:

W = 16

Now we can plug this back into any of the two equations to find the length.

L = 4W

L = 4(16)

L = 64

So the width is 16, and the length is 64.</span>
6 0
3 years ago
Read 2 more answers
Find the inverse of function f<br> f(x)9x+7
kap26 [50]

The inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

<h3>How to determine the inverse of the function?</h3>

The function is given as:

f(x) = 9x + 7

Express f(x) as y

y = 9x + 7

Swap the positions of x and y in the above equation

x = 9y + 7

Subtract 7 from both sides

9y = x - 7

Divide through by 9

y = x/9 - 7/9

Express as an inverse function

f-1(x) = x/9 - 7/9

Hence, the inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

Read more about inverse functions at:

brainly.com/question/14391067

#SPJ1

5 0
2 years ago
Other questions:
  • What is the domain function ((1,1), {0,0}, (2,-1))
    13·2 answers
  • To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hou
    10·2 answers
  • the elementary school lunch menu repeats every 20 days. the middle school lunch menu repeats every 15 days. both schools are ser
    10·1 answer
  • If the diameter of a circle is 12cm, what is the circumference of the circle?
    5·1 answer
  • Help please!!!!!!!!!!!
    12·1 answer
  • Which equation is represented by the graph below? HELP PLEASE
    14·1 answer
  • Please help I will give brainliest, and everything else!!!!! Use the distributive property to find the value. (5y + 2 )8
    14·2 answers
  • Suppose a city with population 900,000 has been growing at a rate of ​8% per year. If this rate​ continues, find the population
    10·1 answer
  • What is the standard form of 5.09 x 10^4? (To the fourth power)
    14·1 answer
  • Rewrite 150o in radian form.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!