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3 years ago

Find the common ratio of the geometric sequence -1, -9, -81,...−1,−9,−81,

Mathematics

1 answer:

Leona [35]3 years ago

8 0

Answer:

Geometric

Common ratio = 3

Step-by-step explanation:

3,9,27,81 is geometric because there is a common ratio.

We know there is a common ratio because a term divided by it's previous term is the same each time.

That is

81/27=3

27/9=3

9/3=3.

So the common ratio is 3.

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Graphic DesignWorks ships the T-shirts it makes in boxes that measure 20 in

dsp73

Answer: 416 boxes

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of each box and the volume of the storage space.

Since both are rectangular prisms:

Volume = length x width x height

Box of t -shirts = 20 x 16 x 12 = 3,840 cubic feet

Storage = 200 x 200 x 40 = 1,600,000 cubic feet

Next, we have to divide the storage's volume by the volume of each box:

1,600,000 / 3,840 = 416.6 =416 boxes

Feel free to ask for more if needed or if you did not understand something.

5 0

3 years ago

Consumer Math TestYou borrow $13,000 to buy a car. You borrow the money for 4 years and the interest rate is 2.5%. How much inte

enot [183]

Answer:

You will pay $1,300 in interest.

The final price of the car is of $14,300

Step-by-step explanation:

Simple interest formula:

$I=P\ast r\ast t$

In which:

I is the interest

P is the principal(initial value of the investment, amount borrowed,...)

r is the interest rate, as a decimal

t is the time, in years.

In this question:

Borrow $13,000, so P = 13000

4 years, so t = 4

Interest rate of 2.5%, so r = 0.025

$I=13000\ast0.025\ast4=1300$

You will pay $1,300 in interest.

Final price of the car:

Principal plus interest.

$T=P+I=13000+1300=14300$

The final price of the car is of $14,300

4 0

1 year ago

Bonjour j’ai un exercice de maths et je ne comprends rien

Minchanka [31]

Donc pour trouver la réduction de 30% nous allons trouver 30% de 49 alors nous allons faire 30 × 100 × 49 = 14,7 14,7 est la réduction maintenant nous devons faire 49 € -14,7 € soit 34,3 €, le prix est maintenant de 34,3 €, désolé d'utiliser Google Translate pour vous aider, mais j'espère que c'est correct :)

4 0

3 years ago

10.) state whether the given side lengths can form a triangle

Verizon [17]

Answer:

A. 5,8,12, side lengths can form a triangle.

B. 20, 18, 2, side lengths can not form a triangle.

C. 15, 26 , 9, side lengths can not form a triangle.

D. 4.75, 12.25, 16.25, side lengths can form a triangle.

Step-by-step explanation:

We are given three sides in options A, B , C and D.

We need to check if the given sides would form a triangle or not.

Note: Sum of two sides is always greater than third sides in a triangle.

So, we need to check the sum of two sides of given sides length to check if sum is greater than third side length.

A. 5,8,12.

5+8 is greater than 12.

5+12 is greater than 8.

12+8 is greater than 5.

Therefore A. 5,8,12, side lengths can form a triangle.

B. 20, 18, 2

18+2 is not greater than 20.

Therefore B. 20, 18, 2, side lengths can not form a triangle.

C. 15, 26 , 9

15+9 is less than 26.

Therefore C. 15, 26 , 9, side lengths can not form a triangle.

D. 4.75, 12.25, 16.25.

4.75+12.25 is greater than 16.25.

4.75+16.25 is greater than 12.25.

12.25+16.25 is greater than 4.75.

Therefore D. 4.75, 12.25, 16.25, side lengths can form a triangle.

3 0

3 years ago

I need help like rn plzzzz Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the mov

djverab [1.8K]

Answer: c(x) = 2.00 + 0.50x

Step-by-step explanation:

Since they already charged her $2.00 leave that alone. They charge her .50 per night, x represents the number of nights she rented the movie. thus the answer is c(x) = 2.00 + 0.50x.

6 0

3 years ago