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kolbaska11 [484]
3 years ago
6

Find the value of x a. 2x=1/4 b. 4x=  -1/10

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0
2x=1/4
x= 1/8
because dividing by 2 is the same as multiplying by 1/2

4x=-1/10
x=-1/40
because dividing by 4 is the same thing as multiplying by 1/4
yKpoI14uk [10]3 years ago
3 0
A. x=1/8
b. x=0.025 same thing, just divide<span />
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OlgaM077 [116]
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(-7)^2+8/(-2)
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Answer:

The answer would be C

Step-by-step explanation:

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3 years ago
Read 2 more answers
Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric
quester [9]
I'm guessing S^20 is actually referring to the 20th partial sum S_{20}, with

S_{20}=1+(1+1\times0.1)+(1+2\times0.1)+\cdots+(1+18\times0.1)+(1+19\times0.1)

in the arithmetic case, and

S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}

in the geometric case.

(a) Combining like terms, we have

S_{20}=20+0.1(1+2+\cdots+18+19)

and invoking the formula

1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2

we end up with

S_{20}=20+0.1\dfrac{19\times20}2=39

(b) Multiply S_{20} by 1.1, then subtract this from S_{20}:

1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}

S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}
\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275
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3 years ago
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