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Harman [31]
3 years ago
15

Find the sum of this infinite geometric series where a1=0.3 and r=0.1

Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer:

1/3

Step-by-step explanation:

The formula for computing the sum of an infinite geometric series is

S=\frac{a_1}{1-r} where r is between -1 and 1 and r is the common ratio, and a_1 is the first term of the series.

So let's plug in:

S=\frac{0.3}{1-0.1}

S=\frac{0.3}{0.9}

S=\frac{3}{9} I multiplied bottom and top by 10.

S=\frac{1}{3} I divided top and bottom by 3.

The sum is 1/3.

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Mr. Johnson is planning what to wear tomorrow to school. He has a white shirt, a plaid shirt, and a blue shirt. He has four pair
myrzilka [38]

Answer:

12 different possibilities

Step-by-step explanation:

times them together...

3 different shirt options and 4 different pants options so,

3 x 4 = 12

or you could draw out a tree to show all of the different combinations...

7 0
3 years ago
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to
gladu [14]

Answer:

<em> y = 4.25x</em>

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

<em>Hence the required equation is y = 4.25x</em>

<em></em>

8 0
3 years ago
Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which ex
GalinKa [24]

Answer:

2x^2 + x - 6 = rectangular garden: <u><em>length = 2x – 3 feet; width = x + 2 feet</em></u>

Step-by-step explanation:

(2x - 3)(x + 2) = 2x^2 + x - 6 =

2x^2 + 4x - 3x - 6 = 2x^2 + x - 6 =

2x^2 + x - 6

You get the original equation from the two sides multiplied. :)

Hope this helps, have a good day.

7 0
3 years ago
Read 2 more answers
Can someone help me finish my algebra packet??
MA_775_DIABLO [31]
Happy to help :-)

Please provide us with questions
4 0
3 years ago
You are multiplying as many as you want 5s and as many as you want 2s, at least one of each. What could the last digit of the pr
Aleksandr [31]

Answer:

0

Step-by-step explanation:

It is always going to be 0 because there is always going to be a 2 and a 5 that multiply to make the units digit zero.

I hope this could help you.

5 0
3 years ago
Read 2 more answers
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