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Nady [450]
2 years ago
15

What common ratio would cause a geometric series to converge

Mathematics
1 answer:
iVinArrow [24]2 years ago
6 0

Answer:0

Step-by-step explanation:

The sum of a convergent geometric series can be calculated with the formula a ⁄ 1 – r, where “a” is the first term in the series and “r” is the number getting raised to a power. A geometric series converges if the r-value (i.e. the number getting raised to a power) is between -1 and 1. So the answer is 0

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The city has a population of 3400,000 people. Suppose that each year the population grows by 8%. What will be the population aft
Mila [183]

Answer:

353,60000

Step-by-step explanation:

  1. 3400,000 x 8%=272,00000
  2. 272,000000 x 13 years
  3. 353,600000
4 0
3 years ago
An unconfined compression test was performed to determine the average strength of concrete cylinders (in psi). It is believed th
Ronch [10]

Answer:

Explained below.

Step-by-step explanation:

(1)

The confidence level is, 91%.

Compute the value of α as follows:

\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09

(2)

As the population standard deviation is provided, i.e. <em>σ</em> = 256 psi, the <em>z</em> value would be appropriate.

The <em>z</em> value for α = 0.09 is,

<em>z</em> = 1.69

(3)

Compute the 91% confidence interval as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

     =3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)

(4)

The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.

8 0
2 years ago
Kwame borrowed 300 Ghana cedis from a finance company. He repaid the loan in six equal installment 55 Ghana cedis. How much inte
Bumek [7]

Answer:

The amount of interest, he payed is 30 Ghana Cedis

Step-by-step explanation:

The amount Kwame borrowed from the finance company, P = 300 Ghana Cedis

The amount he repaid in each installment, M = 55 Ghana Cedis

The number of installments with which he repaid the loan, n = 6 installments

The amount of interest, "i", he payed, is given by the following formula;

The amount of interest, he payed, i = M × n - P

Therefore, i = 55 × 6 - 300 = 30

The amount of interest, he payed = i = 30 Ghana Cedis.

3 0
3 years ago
What is the area of a square that is 6.3 cm on all sides?
Dmitry [639]

Answer:

Area of the square is 9.32 cm^2

Step-by-step explanation:

<u>To find the area of a square, square the side.</u>

<u />

6.3^2

9.32

Answer:  Area of the square is 9.32 cm^2

5 0
3 years ago
Read 2 more answers
Which of the following is false?
Pepsi [2]
I want to say it’s D.
6 0
3 years ago
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