We want our exponential function to look like
y = ab^x.
Let a = the initial y-value.
Our initial value is the first number given for f(x). So, a = 3.
Let b = the number that is needed to go from 3 to 6 to 12 to 24 to 48.
We find b by division.
So, b = the next number divided by the previous.
So, b = 6/3 = 2.
We now plug in our values into the general formula above.
y = ab^x
Answer: y = (3)(2)^x
Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
The equation which represent total amount of income he earns from selling book is, 
Since, Selling price of one novel is n dollars
So, selling price of b books is, 
Since, he receives 9% commission on each book sale.
So, total commission he receives on selling of b books is,
And also he received a bonus of $50,000 to sign the contract to write the book,
So, total amount of income he earns is represented by A,
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