3p=pe^0.05t
3=e^0.05t
T=(log(3)÷log(e))/0.05
T==21.97 years
Answer:
Step-by-step explanation:
Let's rewrite the left side keeping in mind the next propierties:
Therefore:
Now, cancel logarithms by taking exp of both sides:
Multiply both sides by 
and using distributive propierty:
Substract 
from both sides and factoring:
Multiply both sides by -1:
Split into two equations:
Solving for 
Add 4 to both sides:
Solving for 
Collect in terms of x and add 
to both sides:
Divide both sides by e-2:
The solutions are:
If we evaluate x=4 in the original equation:
This is an absurd because log (x) is undefined for 
If we evaluate in the original equation:
Which is correct, therefore the solution is:
To answer the question, we utilize the given data and solve for the number of customers left in the store after every 1 hour interval.
Initially, there were 75 customers.
1:00 to 2:00 : 75 + 30 - 12 = 93
2:00 to 3:00 : 93 + 14 - 8 = 99
3:00 to 4:00 : 99 + 18 - 30 = 87
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to empty out the store by 5:00
ANSWER: (a) 4:00 to 5:00
(b) 87 customers
Answer is 9 root3
this is because it is one of the special triangle: with special ration of 2x:root3x:1x
you could plug values into the sin formula as well.
9 cm is the smallest length since it is across from the 30° angle. so there fore 9 is 1x
x is 9.
root3x = 9root3
You know that a fraction is equivalent is the number multiply or divide into each other. So 4/12 is equivalent to 13 because 4 is a third or 12.
