The volume of the container is 300 in³
<u>Explanation:</u>
Given:
Area of the rectangular box, a = 50 in²
Area of rectangle = length X breadth
So, length X breadth = 50 in²
Height = 6 in
Volume of the container, V = ?
We know,
Volume of the rectangular box = length X breadth X height
V = 50 in² X 6 in
V = 300 in³
Therefore, volume of the container is 300 in³
Answer:
Option B,option D and option F are the correct statements.
The equation of the perpendicular line is y + 7 = -1/7(x - 3)
<h3>How to determine the line equation?</h3>
The equation is given as
y = 7x + 14
Also, from the question
The point is given as
Point = (3, -7)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 7
This means that the slope of y = 7x + 14 is 7
So, we have
m = 7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/7
The equation of the perpendicular lines is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/7
(x₁, y₁) = (3, -7)
So, we have
y = -1/7(x - 3) - 7
Evaluate
y = -1/7(x - 3) - 7
Add 7 to both sides
y + 7 = -1/7(x - 3)
Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)
Read more about linear equations at
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Answer:
Option D. $5,840.62
Step-by-step explanation:
Investment: I=$900,000
Period annuity: A
4.8% APR compounded monthly:
APR=4.8%=4.8/100→APR=0.048
Period of 20 years
A=r*I/[1-(1+r)^(-n)]
Rate per period (month): r=APR/12=0.048/12→r=0.004
Number of periods (months): n=12(20)→n=240
Replacing the known values in the formula:
A=0.004*$900,000/[1-(1+0.004)^(-240)]
A=$3,600/[1-(1.004)^(-240)]
A=$3,600/[1-0.383626788]
A=$3,600/[0.616373212]
A=$5,840.617226
A=$5,840.62