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DIA [1.3K]
4 years ago
9

Help I need help with this question

Mathematics
1 answer:
Ksenya-84 [330]4 years ago
5 0

Answer:

X = 208

Step-by-step explanation:

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Given the formula, Sn=a 1-r^n/1-r, what is the sum of the first nine terms of the geometric series: 324, -108, 36, -12...
vlada-n [284]

Answer:

243.01.

Step-by-step explanation:

The first term (a) = 324.

The common ratio (r) = -108/324 = -1/3.

So sum of 9 terms is:

S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)

= 324 ( 1 - (-0.00005076)) / 4/3

= 324 * 1.00005076 / 1.33333

= 243.012.

3 0
3 years ago
Write the equation 6x − 3y = −12 in the form y = mx + b.
Sergeeva-Olga [200]
Solve for the variable y (move the x to the right of equal with changed sign)

M is the coefficient before the x and b is the known number

-3y = -12 - 6x

Since the y can't be negative, multiply every term for -1, therefore change their sign

3y = 6x + 12

To find y, divide both terms for 3

\frac{3}{3}y =  \frac{6x+12}{3}

y = 2x+4

Therefore your answer is y = 2x+4
4 0
4 years ago
Let a be an mn matrix, and let u and v be vectors in irn with the property that au = 0 and av = 0. explain why a(u + v) must be
tatiyna
\mathbf{Au}=\mathbf0
\mathbf{Av}=\mathbf0

\implies\mathbf{Au}+\mathbf{Av}=\mathbf0
\implies\mathbf A(\mathbf u+\mathbf v)=\mathbf0

Multiplying by scalars c,d won't change this fact.
4 0
4 years ago
Write the equation of the line the passes through (1, -2) and (3, 4) in slope intercept form.​
Alona [7]

Answer:

y=3x-5

Step-by-step explanation:

First find the slope, 4+2 over 3-1, giving you the slope of three

then set up your equation, y=3x+?

I played with the y=3x - part on the website desmos graphing calculator, I first inserted the points then found the slope and then played with the equation till it went through both the points.

4 0
3 years ago
suppose you deposit $500 into an account earning 7.8% interest compound annually. what will your balance be after 5 years?
Bogdan [553]
500 + 7.8%
539 x 5
2695
8 0
3 years ago
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