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denis-greek [22]
2 years ago
5

How do you solve this

Mathematics
1 answer:
Maru [420]2 years ago
7 0
Divide 7 by 20 to get the decimal form of 7/20 and then see which one of the statistics match it should be the on base statistic
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The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th
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Answer:

<u><em>k = 0.2645</em></u>

Step-by-step explanation:

Given model:

y = 4070 e^{kt}

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070  e^{3k}

\frac{9000}{4070} = e^{3k}

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<u><em>Taking natural logarithm on both sides, we get:</em></u>

ln\frac{900}{407}=ln(e^{3k})

ln\frac{900}{407}= 3k ln<em>e</em>

ln<em>e</em>=1

ln \frac{900}{407}= 3k

or k = \frac{1}{3}ln\frac{900}{(407)}

k =\frac{1}{3}(0.7936)

<em>k = 0.2645</em>

<em />

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