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Crank
3 years ago
14

Please help me right now.

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

\sum\limits_{k=1}^{\infty}12\left(0.7\right)^{k-1}

The infinite geometric series is converges if |r| < 1.

We have r = 0.7 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

S=\dfrac{a_1}{1-r}

We have:

a_1=12(0.7)^{1-1}=12(0.7)^0=12\\\\r=0.7

Substitute:

S=\dfrac{12}{1-0.7}=\dfrac{12}{0.3}=40

Answer: c. Converges, 40.

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Janet has three times as many dimes as nickels and twice as many quarters as nickels. If she has $3.40 in all, how many nickels,
lord [1]
Let N be no. of nickles. Then N($.05)+3N($.10)+2N($.25)=$3.40.

Or

4 nickels = $0.20
12 dimes = $1.20
8 Quarters = $2.00

Total = $3.40

6 0
3 years ago
the two triangles below are similar use what you know about similar triangles to find the missing side. show your work​
lara31 [8.8K]

If both triangles are similar the ratio of sides will be same

\\ \sf\longmapsto  \frac{x}{24} =  \frac{6}{12}   \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x =  \frac{144}{12}  \\ \\ \sf\longmapsto x = 12

7 0
3 years ago
Scott bought 8 packs of pencils for y dollars per pack. Which expression shows how much Scott pays for the pencils?
allsm [11]

Answer:

your answer would be b

Step-by-step explanation:

got it right

5 0
3 years ago
(3ab+2c)^3 what is the answer
svet-max [94.6K]

Answer:

=27a^3b^3+54a^2b^2c+36abc^2+8c^3

Step-by-step explanation:

(3ab+2c)^3

=(3ab+2c) × (3ab+2c) ×

=(3ab+2c)(9a^2b^2+12abc+4c^2)

=(3ab)(9a^2b^2)+(3ab)(12abc)+(3ab)(4c^2)+(2c)(9a^2b^2)+(2c)(12abc)+(2c)(4c^2)

=27a^3b^3+36a^2b^2c+12abc^2+18a^2b^2c+24abc^2+8c^3

=27a^3b^3+54a^2b^2c+36abc^2+8c^3

<em>hope this helps....</em>

5 0
3 years ago
How to solve 3y+6=5y-18
MariettaO [177]

Answer:

y = 14

Step-by-step explanation:

move 5y over to the left and you should get -2y +6=-18. subtract 6from both sides and you will now have -2y=-24. divide bothe sides from -2 and you will get y=14

4 0
3 years ago
Read 2 more answers
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