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Kitty [74]
2 years ago
15

What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?

Mathematics
1 answer:
matrenka [14]2 years ago
4 0
Sum_{7} = 10 *  \frac{1- (-2^{7}) }{1 - (-2)} =  10*  \frac{1+128}{1+2} = 10*  \frac{129}{3} =   10 * 43 = 430
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Question:
kolbaska11 [484]

Answer:

<u>Proportional relationship formula:</u>

  • y = kx, where k is the constant of proportionality

Use one of the ordered pairs to calculate the value of k

<h3>Company A</h3>

Point (2, 20)

  • 20 = k*2
  • h = 20/2
  • k = 10

The equation: y = 10h

<h3>Company B</h3>

Point (3, 20)

  • 20 = k*3
  • k = 20/3
  • The equation: y = 20/3h

Company A has greater unit rate as 10 > 20/3

3 0
3 years ago
The sum of Joy's age and her brother's age is 24. Joy's brother's age is 3 years older than twice joy's age. What is the differe
enyata [817]
Let Joy be x years old

<span>Joy's brother's age is 3 years older than twice joy's age.
</span>Joy's Brother = 2x + 3

<span>The sum of Joy's age and her brother's age is 24.
x + 2x + 3 = 24
3x + 3 = 24
3x = 24 - 3
3x = 21
x = 21 </span>÷ 3 
x = 7

Joy:
x = 7

Brother:
2x + 3 = 2(7) + 3 = 17

Difference in their age = 17 - 7 = 10 years

They are 10 years apart.
3 0
3 years ago
Z=(x-u)/q slove for x
frosja888 [35]

Answer:

zq+u =x

Step-by-step explanation:

z=(x-u)/q

Multiply each side by q

zq = (x-u)/q *q

zq = x-u

Add u to each side

zq+u = x-u+u

zq+u =x


6 0
3 years ago
(4x^3-2x)-(x+8x^3) what’s is the answer to this I need help fast
bagirrra123 [75]

Answer:

ummm- i dont really know this one- but i think the answer is 0

Step-by-step explanation:

7 0
3 years ago
A fruit basket weighing a total of 15 lbs. contains three types of fruit: apples, oranges, and pears. The apples weigh 4 1/2 lbs
frez [133]

Answer:

B is most likely the answer

Step-by-step explanation:

4 1/2 * 2= 9 so 15-9= 6

Pears weight is 6 Ibs and

4 1/2 *2 would make the most sense

3 0
2 years ago
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