What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-half) Superscript n minus 1

Answers

Answer 1
Answer:

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This is a finite geometric series with n = 4, a₁ = -144, and r = ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wanted to find the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

Answer 2
Answer:

Answer:

It's A: -288

Step-by-step explanation:

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Solve for e.
9e + 4 = -5e + 14 + 13e

Answers

Answer:

e = 10

Step-by-step explanation:

In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.

9e + 4 = -5e + 14 + 13e

We can do this multiple ways, but I will show you how I would do it.

First I would subtract 4 from both sides.

9e + 4 = -5e + 14 + 13e

9e = -5e + 14 + 13e - 4

We can simplify the right side of the equation down by subtracting four from 14.

9e = -5e + 10 + 13e

Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)

-5e + 13e = 8e

9e = 8e + 10

Now we subtract algebraic expression 8e from both sides

9e - 8e = 10

All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.

9e - 8e = 10

1e = 10

or

e = 10

We have isolated e! Our final answer is e = 10

brainiest and 50 points. Diana usually drives at an average rate of 30 mph. Today, she is going to drive 12 miles to her friend Tony's house. How many minutes will it take her to get there?

Answers

Answer:

24 minutes

Step-by-step explanation:

Distance = speed x time

12 mi = 30 mi/h x time

time = 12/30 = 4/10 hours

since 1 hour has 60 minutes

4/10 hours x 60 = 24 minutes

Answer:

It will take her 24 minutes to get there.

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Plz, help! Due soon! You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for list price.

If the listing price for Candy Cane Creek is $864, 550, how much commission would you receive?

Answers

Answer

$60,515:

Step-by-step explanation:

Answer:

$60,515:

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

Use the distance formula to find the distance between (−8, 2.5) and (0, −4.5).d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
1. Substitute coordinates: d = StartRoot (negative 8 minus 0) squared + (2.5 minus (negative 4.5)) squared EndRoot
2. Simplify parentheses: d = StartRoot (negative 8) squared + (7) squared EndRoot
3. Evaluate powers: d = StartRoot 64 + 49 EndRoot
4. Simplify.
What is the distance between (–8, 2.5) and (0, –4.5)? Round to the nearest hundredth.

d ≈

Answers

The distance between points (- 8, 2.5) and (0, - 4.5) is,

⇒ d = 10.67

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Two points are,

⇒ (- 8, 2.5) and (0, - 4.5)

Hence, The distance between (- 8, 2.5) and (0, - 4.5) is,

d = √ (- 8 - 0)² + (2.5 + 4.5)²

d = √ 64 + 7²

d = √64 + 49

d = √114

d = 10.67

Thus, The distance between points (- 8, 2.5) and (0, - 4.5) is,

⇒ d = 10.67

Learn more about the coordinate visit:

brainly.com/question/24394007

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Answer: B.10.63

Step-by-step explanation:

please i need help i will give 15 points and mark brainlist for the best one !!!!! Which do you prefer: leaving √5 in radical form, or converting it to a decimal? Why? When would it be useful to use each? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”

Answers

Answer: Change it to decimal

Step-by-step explanation:

Converting it to decimal makes it easier to work with. It might make be an extra step, but in the long run of the problem it helps to make calculations accurate and easier to solve by working with simpler numbers. Converting to decimal form makes the number more precise for square roots, which are usually not whole numbers.

How many rational numbers are there between - 5 and - 4?​

Answers

Answer:

There are infinite rational numbers between any two numbers

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