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Lapatulllka [165]

3 years ago

13

amy opened a savings account with $1,750 she recieved for graduation. The account pays 4.3% simple interest. What is the balance

after 6 months?

1 answer:

andrezito [222]3 years ago

3 0

The answer would be $451.50

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Harry is a builder.

sergij07 [2.7K]

Answer:

£39.95

Step-by-step explanation:

multiply it by £7.99×5

5 0

3 years ago

In the right triangle ABC shown to the right, what is the length of

Talja [164]

Check the picture below.

7 0

3 years ago

Read 2 more answers

Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.

Aleks [24]

Answer:

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

Step-by-step explanation:

The actual Series is::

$\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$

The method we are going to use is comparison method:

According to comparison method, we have:

$\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n$

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

$=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}$

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}$

Now:

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}$

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

$\sum_{n=1}^{inf}\frac{1}{n^p}$

if p>1 then series converges. In oue case we have:

$\sum_{n=1}^{inf}b_n=\frac{1}{n^4}$

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

5 0

4 years ago

Can somebody help me plz

STALIN [3.7K]

Answer:

adjectives

Step-by-step explanation:

There is more of the big number

4 0

4 years ago

Lennie wants to decorate a gift box with ribbon. She measures five pieces that she has with a ruler. They are 31.2 cm, 25.62 cm,

Naily [24]

Answer:

Yes

Step-by-step explanation:

Add up the lengths of the five pieces: 31.2 + 25.62 + 28.7 + 31.0 + 42.06 = 158.58. 158.58 is the total length and is larger than 150, so, yes there is enough ribbon.

5 0

3 years ago