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Dmitry [639]
1 year ago
12

What is ∑n=16[4(−5)n−1] equal to? Enter your answer in the box.

Mathematics
1 answer:
Cerrena [4.2K]1 year ago
4 0

Step-by-step explanation:

Geometric Sequence formula for general term:

an = a1(r^n-1)

a1 = 4 × (-5)^1-1

a1 = 4

r = -5

Summation formula for geometric sequence :

Sn = a1 ( 1 - r^n / 1 - r )

...<em>take n from the top of the summation.</em>

= 4 ( 1 -(-5)^6 / 1 -(-5)

= -10416.

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If the simple interest on ​$6000 for 9 years is ​$​2160, then what is the interest​ rate?
NISA [10]

Step-by-step explanation:

<h2> l=P×R×T</h2><h3> 6000=2160×X/100×9</h3><h3> 6000÷194.4</h3><h2> =30.86%</h2>
5 0
2 years ago
G(4) =????<br> Can Someone please help Me on this question
melomori [17]

Answer:

when x=4, the value of y is the answer.

when x=4,we can see that the value of y is 1

8 0
3 years ago
The mean of a normal probability distribution is 500 and the standard deviation is 10. about 95 percent of the observations lie
PIT_PIT [208]

Answer:

So about 95 percent of the observations lie between 480 and 520.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

The mean is 500 and the standard deviation is 10.

About 95 percent of the observations lie between what two values?

From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.

So about 95 percent of the observations lie between 480 and 520.

5 0
3 years ago
Identify the expression equivalent to 4x + x + 7) - 2x+8 - 4 by substituting x= 1 and x = 2. А. 6x + 11 B. 3(x+7) C. 2(3x + 16)
Alex

Answer:

4x + x + 7) - 2x+8 - 4 by substituting x= 1 and x = 2. А. 6x + 11 B. 3(x+7) C. 2(3x + 16) D. 3x + 16

Step-by-step explanation:

4 0
2 years ago
A student wants to compare textbook prices for two online bookstores. She takes a random sample of five textbook titles from a l
gregori [183]

Answer:

Dependent sample: The same textbook are being compared.

Step-by-step explanation:

We are given the following in the question:

A student wants to compare textbook prices for two online bookstores.

Sample 1 from bookstore A:

$115, $43, $99, $80, $119

Sample 2 from bookstore B:

$110, $40, $99, $69, $109

Dependent and independent sample:

  • Dependent samples are paired observations for same set of items.
  • Independent samples are observations made on two different sets of items.
  • If the values in one sample affect the observations in the other sample, then the samples are dependent.
  • If the values in one sample have no effect about those of the other sample, then the samples are independent.

Thus, the given sample is dependent sample as the same textbook is being compared from two different bookstore.

5 0
3 years ago
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