Answer:
x = - 
, x = 
Step-by-step explanation:
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
- 3x + 16 = 18 or -(- 3x + 16) = 18
Solving
- 3x + 16 = 18 ( subtract 16 from both sides )
- 3x = 2 ( divide both sides by - 3 )
x = -
or
-(- 3x + 16) = 18
3x - 16 = 18 ( add 16 to both sides )
3x = 34 ( divide both sides by 3 )
x = 
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
| - 3(- ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True
| - 3( ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True
Thus x = - and x = are the solutions
The future value of the investment in dollars s
V = p + prt
where
p = principal, dollars
r = annual interest rate (in decimal form)
t = time, years
To determine p, write the formula as follows:
Factorize p out on the right side.
V = p(1 + rt)
Divide each side b (1 + rt).
Answer:
Answer:
23040 bats
Step-by-step explanation:
Let N(t) be the number of bats at time
We know that exponential function
According to question
Where t (in years)
Substitute t=2 and N(2)=180
Substitute t=5 and N(5)=1440
Equation (1) divided by equation (2)
By using the property
Substitute the values of b in equation (1)
Substitute t=9
Hence, after 9 years the expected bats in the colony=23040 bats
Answer:
25+7(n-1)
Step-by-step explanation:
