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Lunna [17]
3 years ago
11

Does the following infinite geometric series diverge or converge? Explain. 1/5+1/25+1/125+1/625

Mathematics
2 answers:
BaLLatris [955]3 years ago
5 0
The given data contains points which are 1/5, 1/25, 1/125, and 1/625. From these we are able to conclude that the given is a geometric sequence with r equal to 1/5 and the first term is equal to 1/5. The sum of these term can be computed as,
                          S = a1/(1 - r)
Solving,
                          S = ((1/5)/(1 - 1/5) = 1/4
Thus, the sequence is convergent because the sum is a finite number. 
Naddika [18.5K]3 years ago
4 0

The answer is <u>It converges; it has a sum </u>

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Seven tenths of what number is 9.1
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.70 * x = 9.1
.70/.70 * x = 9.1/.70
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4 years ago
HELP THIS IS DUE IN 15 MINUTES I DONT KNOW HOW TO SOLVE IT!!!
NARA [144]

Answer:

(x,y)=(-10, -30)

Step-by-step explanation:

x/4 -y/12 = 0

--> x/4 = y/12

substitute into the first eq.

x/4 + y/12 = -5

y/12 + y/12 = -5

2y/12 = -5

y= (-5) * 12/2 = -30

solve for x, x/4 = (-30)/12

x=4* (-30)/12 = -10

8 0
3 years ago
Sindi borrowed an amount of money from his father to open the Salon. The loan will be paid back by means of payments of R25 000
amm1812

The present value of the loan will be = R36,250

<h3>Calculation of the present value</h3>

The principal capital (P) = R25 000

Interest rate for the payment (R)= 7.5%

Time for the payment (T)= 6 years

Therefore simple interest = P×T×R/100

= 25,000×6×7.5/100

= 250×6×7.5

= R11,250

The present value of the loan will be;

= 25,000 + 11,250

= R36,250

Learn more about simple interest here:

brainly.com/question/20690803

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5 0
2 years ago
Find the volume of each figure. Round your answers to the nearest hundredth, if necessary
SCORPION-xisa [38]

Answer:

666.67π .ft^3

<em>here's</em><em> your</em><em> solution</em>

<em>=</em><em>></em><em> </em><em>radius</em><em> of</em><em> </em><em>cone </em><em>=</em><em> </em><em>1</em><em>0</em><em> </em><em>ft</em>

<em>=</em><em>></em><em> </em><em>height</em><em> of</em><em> </em><em>cone </em><em>=</em><em> </em><em>2</em><em>0</em><em> </em><em>ft</em>

<em>=</em><em>></em><em> </em><em>volume</em><em> of</em><em> </em><em>cone </em><em>=</em><em> </em><em>πr^</em><em>2</em><em>h</em><em>/</em><em>3</em>

<em>=</em><em>></em><em> </em><em>putting</em><em> the</em><em> value</em><em> of</em><em> </em><em>radius</em><em> and</em><em> height</em><em> </em>

<em>=</em><em>></em><em> </em><em> </em><em> </em><em>volume</em><em> </em><em>=</em><em> </em><em>1</em><em>0</em><em>^</em><em>2</em><em>*</em><em>2</em><em>0</em><em>/</em><em>3</em><em>π</em>

<em>=</em><em>></em><em> </em><em>volume</em><em> </em><em>=</em><em> </em><em>6</em><em>6</em><em>6</em><em>.</em><em>6</em><em>7</em><em>π</em><em> </em><em>.</em><em>ft^</em><em>3</em>

<em>hope</em><em> it</em><em> helps</em>

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3 years ago
How to solve using the word problem and information
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Take the problem and solve it about the information about the type of icecream
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