Answer:
The answer is below
Step-by-step explanation:
a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 cm longer than its width and the height 12 cm, volume was at most 4800 cm3. Suppose the length of the new packaging box is still 40cm longer than its width and the height is 12cm, what mathematical statement would represent the volume of the new packaging box?
Solution:
Let the width of the box be x cm.
The length of the box is 40 cm longer than the width, therefore the length of the box = x + 40
The height of the box = 12 cm
The volume of the box can be gotten from the formula:
Volume = length × width × height
Substituting:
Volume = (x + 40) × (x) × 12
Volume = 12x(x + 40)
Therefore the volume of the new box is 12x(x + 40)
Please let me know if there’s something you don’t understand. Hope this helps!
In this sum we will calculate using the simple interest.
Simple interest is calculated from the formula :
I = PRT
where I is the interest, P is the principal, R is interest rate per year and t is time in years.
I = 2000 × 3 % x 2
We have to turn 3% to its decimal fraction which is 0.03, so:
I = 2000 × 0.03 × 2
I = 60 × 2
I = 120
Therefore the interest earned in two years will amount to 120 $
I think that the answer is D
Given:
The equation is
To find:
The solution of the given equation.
Solution:
We have,
It can be written as
Multiply both sides by 7.
Divide both sides by 7.
Therefore, the value of z is -2.
