Answer:
9990 years
Step-by-step explanation:
The exponential function with given values filled in can be solved for the unknown using logarithms.
__
Q(t) = 12 = 36e^(-0.00011t)
1/3 = e^(-0.00011t) . . . . . . divide by 36
ln(1/3) = -0.00011t . . . . . . take natural logs
t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t
t ≈ 9990 . . . years
Answer:
$1.53
Step-by-step explanation:
The computation of the change in the bill is shown below:
Total money he has to pay is
= $8.33 + $2.25
= $13.47
And, he have
= $10 + $5
= $15
So, the change would be
= $15 - $13.47
= $1.53
Alang must visit 8 times to the theatre to earn a free movie ticket.
<h3>What is an expression?</h3>
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Alang has a points card for a movie theatre. He receives 55 reward points just for signing up. He earns 3.5 points for each visit to the movie theatre. He needs 83 points for a free movie ticket.
Form an equation and calculate the number of tickets:-
55 + 3.5N = 83
3.5 N = 83 - 55
3.5N = 28
N = 28 / 3.5
N = 8
Therefore, Alang must visit 8 times to the theatre to earn a free movie ticket.
To know more about an expression follow
brainly.com/question/27828461
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The profit that is gained from the production and selling of the jeans is given to be calculated through the the equation,
P = 20x - 50
For 75 jeans, we just have to substitute 75 to the x's of the equation. This then becomes,
P = 20(75) - 50 = 1450
Thus, the company will make a profit of $1450 by production of 75 jeans.
