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diamong [38]
3 years ago
7

What is the value of the fourth term in a geometric sequence for which a=15 and r= 1/3

Mathematics
1 answer:
Andreyy893 years ago
6 0

Answer:

Step-by-step explanation:

hello :

the n-ieme term is : An=A1×r^(n-1)

A1 the first term       r : the common ratio

in this exercice : A1 =15        r = 1/3      n = 4

A4=15×(1/3)^(4) =15×4^4 =3840    

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ANSWER FOR BRAINLIEST
tester [92]

The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

16 chairs; 24 tables

Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552

Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608  

15 chairs; 18 tables

Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450

Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480  

12 chairs; 28 tables

Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564

Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636  

18 chairs; 20 tables

Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516

Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

15 x 65 + 18 x 90 = X

975 + 1,620 = X

2,595 = X

Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

7 0
3 years ago
Read 2 more answers
Samuel put an empty cup underneath a leaking faucet. After 1 hours, Samuel had collected cup of water. At this rate, how many cu
SVEN [57.7K]
He will collect 24 cups in a day
3 0
3 years ago
Read 2 more answers
This is hard for me I need help or my mom is going to be
Harrizon [31]
the answer should be letter A

the difference of 3.4 and 1.25 = 2.15

Now you know that there will be 2 whole blocks and .15 of a block

.15 is equal to 3/20 which is equal to 15/100.

So you will have 2 whole blocks and 15/100 of a blocks. So the answer is A
4 0
3 years ago
A specialty shop procures silver necklaces for 15$ a piece and offers them to customers for 33$ each. What is the mark-up percen
lidiya [134]

Answer:

54.5%

Step-by-step explanation:

Given data

Cost price= $15

Selling price= $33

Mark up percent =????

%markup= selling-cost/selling*100

substitute

%markup= 33-15/33*100

%markup= 18/33*100

%markup=0.545*100

%markup= 54.5%

Hence the Percent markup is 54.5%

6 0
3 years ago
Please Round 1.54 thank you
bearhunter [10]

Answer:

okay so it would be 2 or 1.5 i dont know if you want it whole number but i will explain

if the number is 5 or more like 5.1 or even 5 you round up

if the number is under 5 like 4,3,2,1 your round down

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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