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miss Akunina [59]
3 years ago
6

What is the sum of the first 5 terms of this geometric series? Use . -4 + 12 + (-36) + ⋯

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0

Answer:

The sum of the first 5 terms is -244

Step-by-step explanation:

To calculate the sum of the geometric series, we need the first term, the common ratio and the number of terms we would like to sum.

The first term here is -4

The common ratio is T2/T1 or T3/T2 = 12/-4 = -3

number of terms n = 5

The formula to use is;

Sn = a(1-r^n)/(1-r)

Plugging these values, we have;

Sn = -4(1-(-3)^5)/(1-(-3))

Sn = -4(1+243)/4 = -1(244) = -244

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Jaffrey was offered a job at $950 per month with a $22 increase every month for the first year. How much money can he make in th
iogann1982 [59]

Answer:

Jaffrey will end up making $1214 in the first year

Step-by-step explanation:

950 + 12(22) = ?

first lets find out what 12 * 22 =?

12 * 22 = 264

now lets add 264 to 950

264 + 950 = 1214

5 0
3 years ago
Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?
Whitepunk [10]

Given:

Point is T(-3,8).

To find:

The coordinates of T' after R(y-axis)\circ R(x-axis).

Solution:

We know that, R(y-axis)\circ R(x-axis) means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

(x,y)\to (x,-y)

T(-3,8)\to T_1(-3,-8)

If a figure reflected across y-axis, then

(x,y)\to (-x,y)

T_1(-3,-8)\to T'(-(-3),-8)

T_1(-3,-8)\to T'(3,-8)

Therefore, the required point is T'(3,-8).

4 0
3 years ago
Solve.<br><br> 10 · w = 90<br><br> w = ______
Ratling [72]

Answer:

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Step-by-step explanation:

10- w = 90

w = 90 -10

w = 80

5 0
3 years ago
Read 2 more answers
When ∆A′B′C′ is reflected across the line x = -2 to form ∆A″B″C″, vertex (note: please enter your response using apostrophes ins
maria [59]
(A) because it is reflecting over the x-axis.
7 0
3 years ago
On Tuesday, Marissa was $45 short of her fundraising goal. The next day, she was $5 over her goal write an equation to show how
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Answer: Hello daema, let's let x be the goal and c be the collection per day.

x - 45 + c = x + 5 is the answer so now let's talk about how we did that.

So she wants to get to x which is the goal. But right now she has 45 less than what her goal is. So that would look like this x - 45 now she has to get c or the collection per day to get to her goal. So now it looks like this x - 45 + c. Now that c has to be at least x which is her goal, it now will look like this x - 45 + c = x. But we're not done, the question said that now she 5$ over her goal, or x. So we have to add the + 5 onto the end so now it looks like this x - 45 + c = x + 5. To solve the equation "if you have to" it would be x = 50$ per day.

4 0
3 years ago
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