Answer:
$4,515.14
Step-by-step explanation:
First we need to get the amount after 25 years on $400,000 at 5% interest
Using the compound interest formula
A = P(1+r)^n
A = 400,000(1+0.05)^25
A = 400,000(1.05)^25
A = 400,000(3.3864)
A = $1,354,541.98
Since 25years = (25*12)months
25 years = 300months
Amount to be able to pull out each month = $1,354,541.98/300
Amount to be able to pull out each month = $4,515.14
Hence you will be able to pull out $4,515.14 each month
Answer For the First One:
D, 51.3%
Step-by-step explanation:
The total number of students that ordered popcorn was 80 and 80 is 51.3% of 156 (the total number of students)!
Answer For the Second One:
C, It was reflected over the X-axis
Explanation:
If you just flip the DEF backwards over the x-axis it makes the GHI shape!
Hope this helps! :)
Answer:
The area after 9 years will be 1,234 km^2
Step-by-step explanation:
In this question, we are tasked with calculating what the area of a certain forest that decreases at a certain percentage would be after some years.
To answer this question, we shall be using an exponential approximation.
Now, to use this exponential approximation, we shall be needing a supporting exponential mathematical equation.
This can be written as;
A = I(1-r)^t
where A is the new area we are looking for
I is the initial area which is 1700 according to the question
r is the rate of decrease which is 3.5% = 3.5/100 = 0.035
t is time which is 9 years according to the question
We plug these values and have the following;
A = 1700(1-0.035)^9
A = 1700(0.965)^9
A = 1,233.66
This is 1,234 km^2 to the nearest square kilometer
Concept
Quotient the number obtained by dividing one number by another Dividing 10 by 5 gives a quotient of 2.
Answer:
The answer to your question is y = -11/2x - 19
Step-by-step explanation:
Data
Point (-4, 3)
⊥ to the line x- intercept of 22 and y-intercept of -4.
Process
1.- Find the equation of the perpendicular line
This line has passes through the points (22, 0) and (0, -4)
Slope = 
2.- Find the slope of the new equation
Slope = 
because the lines are perpendicular
3.- Find the equation of the new line
y - 3 = -11/2 (x + 4)
y - 3 = -11/2x - 44/2
y - 3 = -11/2 x - 22
y = -11/2 x - 22 + 3
y = -11/2x - 19
See the graph below
