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3 years ago

16

Graph a system of equations to approximate the value of x, the rate of depreciation. Give your answer as a percent. about 4% abo

ut 13% about 1.2% cannot be determined

2 answers:

muminat3 years ago

9 0

Answer:about 13%

Step-by-step explanation:

Dovator [93]3 years ago

7 0

Answer: about 13% (B)

Step-by-step explanation:

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ASAP WILL GIVE BRAINLIEST

wlad13 [49]

Answer:

802.75 pi

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the co

jeka57 [31]

Answer:

<h2>A. The series CONVERGES</h2>

Step-by-step explanation:

If $\sum a_n$ is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

$\lim_{n \to \infty} |\frac{a_n_+_1}{a_n}| = \rho$

If $\rho$ < 1, the series converges absolutely

If $\rho > 1$ , the series diverges

If $\rho = 1$ , the test fails.

Given the series $\sum\left\ {\infty} \atop {1} \right \frac{n^2}{5^n}$

To test for convergence or divergence using ratio test, we will use the condition above.

$a_n = \frac{n^2}{5^n} \\a_n_+_1 = \frac{(n+1)^2}{5^{n+1}}$

$\frac{a_n_+_1}{a_n} = \frac{{\frac{(n+1)^2}{5^{n+1}}}}{\frac{n^2}{5^n} }\\\\ \frac{a_n_+_1}{a_n} = {{\frac{(n+1)^2}{5^{n+1}} * \frac{5^n}{n^2}\$

$\frac{a_n_+_1}{a_n} = {{\frac{(n^2+2n+1)}{5^n*5^1}} * \frac{5^n}{n^2}\\$

aₙ₊₁/aₙ =

$\lim_{n \to \infty} |\frac{ n^2+2n+1}{5n^2}| \\\\Dividing\ through\ by \ n^2\\\\\lim_{n \to \infty} |\frac{ n^2/n^2+2n/n^2+1/n^2}{5n^2/n^2}|\\\\\lim_{n \to \infty} |\frac{1+2/n+1/n^2}{5}|\\\\$

note that any constant dividing infinity is equal to zero

$|\frac{1+2/\infty+1/\infty^2}{5}|\\\\$

$\frac{1+0+0}{5}\\ = 1/5$

$\rho = 1/5$

Since The limit of the sequence given is less than 1, hence the series converges.

5 0

2 years ago

Please help me with this question!!

KonstantinChe [14]

Answer:

y=8(0.5)^x

Step-by-step explanation:

We can find the value of b, which is the rate. The rate is 0.5 because the y value is consistently going down by 2. A is the first value, which is 8. y=8(0.5)^x

3 0

2 years ago

Sherry swam the length of the community pool 4 times. The pool is 32 feet long. What is the total distance Sherry swam, measur

andriy [413]

32 x4 = 128 ft

128 x 12 = 1536

Final Answer: 1,536 inches

Hope this helps!! :)

8 0

2 years ago

Read 2 more answers

On a survey eight students reported how many minutes it takes them to travel to school here are there responses 9, 11, 3, 14, 14

Triss [41]

Hi!

The answer to your question is 9.75 minutes

Here is the math to prove it:

9+11+3+14+14+7+14+6=78

Now you will take 78 and divide it by 8

This is because when finding the mean you add all of the given number together and then divide them by the amount of number added together.

78/8=9.75

Thus, your answer is 9.75 minutes

I hope this helped!

Have a wonderful day/night!

God bless!

8 0

2 years ago