This is the concept of proportionality, we are required to calculate for the number of hours two crews can use to paint the house altogether.
Here proceed as follows;
number of hours new crew can paint=12 hrs
portion of work painted by new crew in 1 hour= 1/12
number of hours experienced crew can paint=6 hours
Portion of work painted by experienced crew in 1 hour=1/6
Portion of work painted by the two crews altogether in 1 hour will be:
1/6+1/12=1/4
thus the total amount of hours that the two painters will take to paint will be:
4 hours
Answer:
C= b+ 0. 7
Step-by-step explanation:
C= b+ 0. 7
C= b+ 0. 7
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.
