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lisabon 2012 [21]

3 years ago

5

The current balance of Finn’s checking account is $437.80. FInd the new balance after

2 answers:

tekilochka [14]3 years ago

4 0

437.80 - 39.56 = 398.24

Lina20 [59]3 years ago

4 0

Answer:

398.24

Step-by-step explanation:

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Use a Maclaurin series to obtain the Maclaurin series for the given function.

Rama09 [41]

Answer:

$14x cos(\frac{1}{15}x^{2})=14 \sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{4k+1}}{(2k)!15^{2k}}$

Step-by-step explanation:

In order to find this Maclaurin series, we can start by using a known Maclaurin series and modify it according to our function. A pretty regular Maclaurin series is the cos series, where:

$cos(x)=\sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{2k}}{(2k)!}$

So all we need to do is include the additional modifications to the series, for example, the angle of our current function is: $\frac{1}{15}x^{2}$ so for

$cos(\frac{1}{15}x^{2})$

the modified series will look like this:

$cos(\frac{1}{15}x^{2})=\sum _{k=0} ^{\infty} \frac{(-1)^{k}(\frac{1}{15}x^{2})^{2k}}{(2k)!}$

So we can use some algebra to simplify the series:

$cos(\frac{1}{15}x^{2})=\sum _{k=0} ^{\infty} \frac{(-1)^{k}(\frac{1}{15^{2k}}x^{4k})}{(2k)!}$

which can be rewritten like this:

$cos(\frac{1}{15}x^{2})=\sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{4k}}{(2k)!15^{2k}}$

So finally, we can multiply a 14x to the series so we get:

$14xcos(\frac{1}{15}x^{2})=14x\sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{4k}}{(2k)!15^{2k}}$

We can input the x into the series by using power rules so we get:

$14xcos(\frac{1}{15}x^{2})=14\sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{4k+1}}{(2k)!15^{2k}}$

And that will be our answer.

3 0

3 years ago

the ratio of high school students who were homeschooled to those who attended other schools was three to seven. if there were 90

lina2011 [118]

Answer:

210 high schoolers as ratio becomes 90:210

Step-by-step explanation:

we can see that 3:7 can be multiplied if 3 x 3 = 9 then 7 x 3 =21 we just add the zero and find a 90:210 ratio

6 0

4 years ago

There were 500 animals at an animal shelter. On Saturday, 20 of the dogs and 15 of the cats were adopted. What percentage of the

babymother [125]

Answer:

7%

Step-by-step explanation:

First, let's add the 20 dogs and 15 cats together to find the total number of animals adopted

20 + 15 = 35 animals adopted

We cand do 35 ÷ 200 to find how much of a percent 35 is of 500

35 / 500 = 0.07

Multiply this number by 100 to get a percent

0.07 × 100% = 7%

7% of the animals

7 0

2 years ago

Read 2 more answers

Trig: Which complex number's graph is shown?

Andrei [34K]

ANSWER

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

EXPLANATION

The complex number shown has coordinates (2,-2)

or

$z = 2 - 2i$

The modulus is

$|z| = \sqrt{ {2}^{2} + {( - 2)}^{2} }$

$|z| = \sqrt{ 8} = 2 \sqrt{2}$

The argument is

$\theta= \tan^{ - 1} ( \frac{ - 2}{2} )$

$\theta= \tan^{ - 1} ( -1) = \frac{7\pi}{4}$

The polar form is

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

The first option is correct.

3 0

4 years ago

A rectangle measures 1 1/ 2 inches by 3/ 4 inches. What is its area? I WILL MARK BRAINLIEST AND 100 POINTS

juin [17]

[|] Answer [|]

$\boxed{1 \ 1/8 \ or \ One \ and \ One \ Eighth \ Inches}$

[|] Explanation [|]

Convert 1 1/2 and 3/4 into mixed numbers:

1 1/2 = 3 /2

3 / 4 = 3 / 4

Multiply Across:

3 * 3 = 9

2 * 4 = 8

= 9 / 8

Simplify:

1 1/8

$\boxed{[|] \ Eclipsed \ [|]}$

3 0

4 years ago

Read 2 more answers