A customer opens a checking account and a savings account at a bank. They will deposit a maximum of $600, some in the checking a
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ANSWER
EXPLANATION
We want to find the number of years that it will take the population to double.
To do this, we have to apply the exponential growth function:
where y = final value
a = initial value
r = rate of growth
t = time (in years)
For the population to double, it means that the final value must be 2 times the initial value:
Substitute the given values into the function above:
To solve further, convert the function from an exponential function to a logarithmic function as follows:
Solve for t:
It will take 9 years for the population to double.
Answer:
The distance between the walls is 70 m.
Step-by-step explanation:
Given: A source of laser light is at point A on the ground between two parallel walls BE and CD . The walls are perpendicular to the ground that is
BE ⊥ ED and CD ⊥ ED
AB is a ray of light which strikes the wall on the left at point B which is 30 meters above the ground. that is BE = 30 m
AC is a ray of light which strikes the wall on the right at point C. The length of AC = 80 meters.
The ray AB makes an angle of 45 degrees with the ground that is m∠BAE = 45°
The ray AC makes an angle of 60 degrees with the ground that is m∠CAD = 60°
As shown is figure attached below.
WE have to find the distance between the walls that is Length of ED
Length of ED = EA + AD
Consider the Δ AEB,
Using trigonometric ratio,
Here , perpendicular = 30 m and base we can find.
thus,
We know
thus, EA = 30 m
Consider the Δ AEB,
Using trigonometric ratio,
Here , hypotenuse = 80 m and base we can find.
thus,
We know,
thus, Base = 40 m
AD = 40 m
Thus, the distance between the walls that is the length of ED = 30 + 40 = 70 m
