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Snezhnost [94]
3 years ago
5

Help please asap thanks

Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

It would be B

Hope this helps! ;)

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Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

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

4 0
3 years ago
Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope
vivado [14]

The function is illustrated below based on the information.

<h3>How to describe the function?</h3>

When x <= 8000

The cost remains constant at 0.35 when x increases from 0 to 8000. The slope of the cost function over this part is 0

When 8000 < x <= 20000

The cost remains constant at 0.75 when x increases from 8000 to 20000 and the slope of the cost function over this part is 0.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

5 0
2 years ago
What is the measure of a?
JulijaS [17]
The answer is 129 because the opposite corners of a quadrilateral has to equal 180°
5 0
3 years ago
Read 2 more answers
The area of a carpet is 120 sq.meters . It's length is 2 meters more than it's width . What is the length of the rectangle ?
Anit [1.1K]

Answer:

10x12

.................

8 0
2 years ago
Read 2 more answers
Y = x^2+5x-3<br> y-x=2<br><br> What is the solution of the linear-quadratic system of equations
Sunny_sXe [5.5K]

Answer:

(-5,-3)

(1,3)

Step-by-step explanation:

Solving with substitution

Set both equations to y =  ...

y = x^2 + 5x - 3

----------------

y - x =2

y = x + 2

----------------

Substitute one of the Y's with the other Y = equation.

x + 2 = x ^2 + 5x -3

Set one side to 0

0 = x^2 + 4x -5

x^2 + 4x - 5 = 0

Simplify by factoring

(x-1) (x+5)

Get your X values

x-1 = 0

x = 1

x+5 = 0

x = -5

Plug in each X into one of the equations to get your Y value.

1st X

y = x + 2

y = 1 + 2

y = 3

When X = 1, Y = 3

2nd X

y = x + 2

y = -5 + 2

y = -3

When X = - 5, Y = -3

Your answers are (1,3) and (-5,-3)

8 0
2 years ago
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