Answer:
yes
Step-by-step explanation:
You just do it
 
        
             
        
        
        
Answer:
Approximately 22.97 years
Step-by-step explanation:
Use the equation for continuously compounded interest, which uses the exponential base "e":

Where P is the principal (initial amount of the deposit - unknown in our case)
A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)
k is the interest rate : 5% which translates into 0.05
and t is the time in the savings account to triple its value (what we need to find)
The formula becomes:

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:
 
 



 
        
             
        
        
        
Answer:
He will run 31.6 miles in two weeks.
Step-by-step explanation:
6 days a week = 2.3 miles
6 days · 2 weeks = 12 days total running 2.3 miles
1 day a week = 2 miles
1 day · 2 weeks = 2 days total running 2 miles
(12 · 2.3) + (2 · 2)
27.6 + 4
31.6 miles
 
        
             
        
        
        
Answer:
(gof)(-8) = 210
Step-by-step explanation:
(gof) = (-x + 8)² - 3(-x + 8) = 2
         = x² - 16x + 64 + 3x - 24 + 2
         = x² - 13x + 42
(gof)(-8) = (-8)² - 13(-8) + 42
              = 64 + 104 + 42
              = 210
 
        
             
        
        
        
Answer:
Step-by-step explanation:
30 = -5(6n + 6)...distribute the 5 thru the parenthesis
30 = -30n - 30....add 30 to both sides
30 + 30 = -30n
60 = -30n....divide both sides by -30
-60/30 = n
-2 = n <===