HELP PLS

Mathematics

1 answer:

Snezhnost [94]3 years ago

6 0

Answer:

a loss of 72.47

Step-by-step explanation:

I got this answer right on my test

You might be interested in

What is the common denominator of 3/8 and 1/4

kenny6666 [7]

The least common denominator of 3/8 and 1/4 is the same as the least common multiple of 4 and 8.

List the multiples.

4: 4, 8, 12, 16, ...
8: 8, 16, ...

The least common multiple of 4 and 8 is 8.

The least common denominator of 3/8 and 1/4 is 8.

5 0

4 years ago

Read 2 more answers

Find the sum of the convergent series 7 0.7 0.007

mafiozo [28]

$7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)$

Let $S_n$ denote the $n$ th partial sum of the series, i.e.

$S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}$

Then

$\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}$

and subtracting from $S_n$ we get

$S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}$
$\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)$

As $n\to\infty$ , the exponential term vanishes, leaving us with

$\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9$

and so

$7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9$