This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
Answer:
5
Step-by-step explanation:
To write it in standard form, we set the equation equal to 0. To do this, we add 6 to each side:
-6+6 = x² + 4x - 1 + 6
0 = x² + 4x + 5
The related function is
y = x² + 4x + 5
The value of c in this function is 5.
The price for red paper = 1.25
the price for foil = 2.5