Answer: y = 6280(0.87)^x
Step-by-step explanation:
If the office equipment depreciates at a rate of 13% each year, then the rate of depreciation is exponential.
We would apply the formula for exponential decay which is expressed as
y = b(1 - r)^x
Where
y represents the value of the office equipment after t years.
x represents the number of years.
b represents the initial value of the office equipment.
r represents rate of decay.
From the information given,
y = $628
r = 13% = 13/100 = 0.13
Therefore, the equation that represents the value of the equipment after x years is
y = 6280(1 - 0.13)^x
y = 6280(0.87)^x
The answer is <span>$494.55</span>
Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above <span>a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = </span>π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches
So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²
The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²
Since the stained glass window costs $1.40 <span>per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55</span>
Answer:
In general, 5 and 3 quarters would be 5.75 :)
Remember, there are 4 quarters in $1.00
Answer:
Find out the what is the eighth term in the arithmetic sequence defined by the explicit formula.

To prove
As given the explicit formula for the arithmetic sequence .

Put n = 8



Therefore the eighth term in the arithmetic sequence is 23 .
X^2+3x+1+4x-1+2x^2
Combine like terms:
x^2+2x^2=3x^2
3x+4x=7x
1+(-1)=0
Solution:
3x^2+7x
All you can do here is simplify it