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3 years ago

Using two or more complete sentences, explain how to find the sum of the geometric series.

Mathematics

1 answer:

LuckyWell [14K]3 years ago

4 0

Answer:

Use the formula:

Sn = A1*[1-R^n]/[1-R]

Here,

Sn is sum

The common ratio R is 1/3

The first term A1 is 4

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determine the average rate of change of the function between the given variables h(x) = x; x=a, x=a+h

Alecsey [184]

Answer:

the average rate of change is 4.

Step-by-step explanation:

Find the average rate of change of f(x)=x^2 on the interval [1,3].

The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.

We have that a=1, b=3, f(x)=x^2.

Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.

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3 years ago

James wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Si

cupoosta [38]

Answer:

Part 1) see the procedure

Part 2) $4.95x+49.95 < 9.95 x$

Part 3) $x > 9.99\ months$

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

$y=4.95x+49.95$

Site B

$y=9.95x$

The inequality that represent this situation is

$4.95x+49.95 < 9.95 x$

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

$4.95x+49.95 < 9.95 x$

Subtract 4.95x both sides

$4.95x+49.95-4.95x < 9.95 x-4.95x$

$49.95 < 5x$

Divide by 5 both sides

$49.95/5 < 5x/5$

$9.99 < x$

Rewrite

$x > 9.99\ months$

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

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3 years ago

Adrian built a structure out of 10 congruent cubes. If each cube has a volume of 8 cu. centimeters, what is the total

kobusy [5.1K]

Answer:

Option (b).

Step-by-step explanation:

It is given that Adrian built a structure out of 10 congruent cubes.

Volume of each cube = 8 cubic centimetres.

We need to find the total volume of the structure.

Total volume = No. of cubes × Volume of each cube

$V=10\times 8$

$V=80$

Therefore, the total volume of the structure is 80 cubic centimetres.

Hence, option (b) is correct.

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3 years ago

On a coordinate plane, an absolute value graph has a vertex at (10, 6).

lorasvet [3.4K]

Answer: (10, ∞)

Step-by-step explanation:

See the graph in the attached image.

4 0

1 year ago

A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What int

Licemer1 [7]

Interest = $572.60 - $560.00 = $12.60

$560 x 6i/12 = $12.60

i = ($12.60 x 12) / ($560 x 6) = 0.045%

7 0

3 years ago