3 years ago

How to solve this multistep inequality (3f+9<21)

Mathematics

1 answer:

Feliz [49]3 years ago

7 0

$3f+9$

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A 25% tip was paid on a $30 meal.what is the amount of the tip

zhenek [66]

Answer:

$7.50

Step-by-step explanation:

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2 years ago

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

FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers

Varvara68 [4.7K]

Answer:

C ≈ 18.85yd

Step-by-step explanation:

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2 years ago

I) -7s (S-4t-3u) <br><br><br>ii) -4c (2c-5d)<br>

umka21 [38]

I) -7s^2+28st+21su
II) -8c^2+20cd