Answer:
78% (to the nearest tenth)
Step-by-step explanation:
Volume of a cube = (length )³
Let the length of the cube = y
Original volume = y³
if the length is decreased by 40%, then new length = 1- (40% of y)
= 1-0.4y
= 0.6%
New volume (after decreasing the length) = (0.6y)³
= 0.216y³
% Volume decrease = (Original volume - New volume)/Original Volume x 100%
= (y³ - 0.216y³)/ y³ x 100%
= 0.784y³/y³ x 100%
=78.4%
≈78%
I think Ms.Gonzalez got 217 prizes on Wednesday.All you had to do was divide 1,307 by 6.
Answer:

Step-by-step explanation:
The formula for calculate the Area of a rectangle is:

Where "l" is the lenght and "w" is the width.
And the formula for calculate the peimeter of a rectangle is:

Where "l" is the lenght and "w" is the width.
We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

<u>The steps are:</u>
1. Solve for the "l" from the formula
:

2. Substitute
into the formula
and solve for "w":

Applying the Quadratic formula
, we get:

3. Substitute
into
:

4. Substitute
into
:

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

Answer:
It is A
Step-by-step explanation:
Answer:
$14,048.62
Step-by-step explanation:
The interest is 9% per year and compounded 3 times a year, so each compound will be 9%/3 = 3%
The time elapsed will be 15 years and the interest compounded 3 times a year, so the number of compounds happens will be = 15 years* 3 compounds/year= 45x compound.
So basically the money will get 3% interest 45 times. To put into the compounding interest formula, the final account balance will be:
A = P (1 + [ r / n ]) ^ nt
A= amount of the balance after a period of t
P= principal, the initial money deposit( $3,715)
r= rate(9%)
n= number of compound per unit of time(3 times per year)
t= time(15 years)
The calculation will be:
A = P (1 + [ r / n ]) ^ nt
A = 
A = $14,048.62