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zlopas [31]
2 years ago
11

Solve the simultaneous equations 3 x + 2 y = 18 3 x + y = 12

Mathematics
1 answer:
natulia [17]2 years ago
8 0

Answer:

x=2 , y=6

Step-by-step explanation:

        3 x + 2 y =    18

        3 x +     y =   12

     (-)       (-)         (-)

-------------------------------------------

                     y =    6

                 

3x+6=12

=>3x=12-6

=>3x=6

=>x=6/3

=>x=2

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$7,925.53

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A = final amount (?)

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r = rate

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Answer: 0.6767

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

<u>Since each next term is less than its preceding term, so it is decreasing.</u>

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>

Hence, the given series converges.

Now limit will be: \lim_{n \to \infty} a_n

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Hence, \lim_{n \to \infty} a_n =0

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