3 years ago

Help please! :)Question in picture

Mathematics

1 answer:

sergey [27]3 years ago

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Answer:

70km per hour is the rate of change

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erastova [34]

Answer:

8.239x10^-5

so the answer is A

Step-by-step explanation:

trust me

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3 years ago

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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

Boone fitnes sells gym passes in packs of 14. A competing gym, sells gym passes in sets of 20. If both sold the same number of p

sergeinik [125]

20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200

14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140

140 is the smallest number they have in common.

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Amanda [17]

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Step-by-step explanation:

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<h2>Good evening </h2>

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