First, we convert the percentage to a decimal.
25% - 0.25
Next, we times this by the cars current value.
0.25 x $27,300
= $6,825
Lastly, we add this to our original cost to determine the starting value of the car.
$27,300 + $6,825
= $34,125
Cheers!
Answer:


Step-by-step explanation:
<u>Arithmetic Sequences
</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
The sum of the n terms of an arithmetic sequence is given by:

We are given the first two terms of the sequence:
a1=5, a2=8. The common difference is:
r = 8 - 5 = 3
Thus the general term of the sequence is:


The formula for the sum is:


Operating:

First find the area of the triangle at the end.
Area of a triangle is 1/2 x base x height.
The triangle is a right triangle with a base of 4 and height of 3
area = 1/2 x 4 x 3 = 6 square cm
Now to find the volume multiply the area of the triangle by the length of the prism.
volume = 6 square cm x 11 cm = 66 cubic cm.
answer: 66 cm^3
Answer: D
Step-by-step explanation:
None of the above
Answer:
Length = 10 inches
Width = 10 inches
Step-by-step explanation:
The perimeter of the base is 40 inches, so we can write the following equation:
2*Length + 2*Width = 40
Length + Width = 20 (eq1)
The volume of the box is 800 in3, so we have:
800 = Length*Width*8
Length*Width = 100 (eq2)
From the (eq1), we have:
Length = 20 - Width
Using this value of Length in (eq2), we have:
(20 - Width)*Width = 100
20*Width - Width^2 - 100 = 0
Using Bhaskara's formula, we have:
Delta = b^2 - 4ac = 400 - 400 = 0
Width = -b/2a = -20/(-2) = 10 inches
Length = 20 - Width = 20 - 10 = 10 inches
So the length is 10 inches and the width is 10 inches