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matrenka [14]
3 years ago
5

a ski cabi can safely carry x number of people there are already 2/3x people in the cabin when another 15 are allowed to board i

t. How many people can the cabin carry
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0
Hi do you know how to do Division?

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the answer is C I think

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3 years ago
A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consiste
Helen [10]

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0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 =   e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k =  0.6621

Hence the value of k to the nearest hundredth is 0.66

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3 years ago
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