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.
154cm squared this is the only right answer
5ml is 0.00132086 and 1.01442 teaspoons equals to 5mls
The answer is: 6/5
Here is why:
3x - 5y = -3
3(1) - 5y = -3
3 - 5y = -3
3 - 5(6/5) = -3
-3 = -3
Answer:
846.06 units
Step-by-step explanation:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :
...(1)
We need to find out the maximum amount of profit the company can make.
For maximum profit put dy/dx = 0
So,

Put x = 22.87 in equation (1). So,

So, the maximum profit is 846.06 units.