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kumpel [21]
3 years ago
15

the first year a toy manufacturer introduces a new toy, it sales total $495,000. the company expects it sales to drop 10% each s

ucceeding year. find the total expected sales in the first 6 years
Mathematics
2 answers:
ankoles [38]3 years ago
7 0
Sales acting like this would produce a geometric sequence with a common ratio of 90/100 or 0.9 because each term would be 0.9 time the previous term.

The sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number, in this case:

s(n)=495000(1-0.9^n)/(1-0.9)

s(n)=495000(1-0.9^n)/(0.1)

s(n)=4950000(1-0.9^n) so

s(6)=4950000(1-0.9^6)

s(6)=$2630632.95
sammy [17]3 years ago
5 0
The answer would be $263063.30 I hope this helped ^^
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Tpy6a [65]

A linear pair means that the sum of the angles is 180 degrees.

Therefore:

a + b = 180°

 

We know that:

a = b + 26°

 

Therefore:

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So,

a = b + 26 = 103<span>°</span>

6 0
3 years ago
Write an expression for 20 times the sum of 4 and 2
marta [7]

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20x6

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Hope this helps.

8 0
2 years ago
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Lana71 [14]
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6 0
3 years ago
Self-fulfilling prophecy is a primary example of the capability of language to
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2 years ago
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A researcher surveyed 220 residents of a city about the number of hours they
olga55 [171]

Answer:

Margin of error of 0.0485 hours.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

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In this question:

\sigma = 0.35, n = 220

The margin of error is of:

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M = 1.96\frac{0.35}{\sqrt{200}}

M = 0.0485

Margin of error of 0.0485 hours.

5 0
2 years ago
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