Answer:
FV= 1,000*(1.12^n)
Step-by-step explanation:
Giving the following information:
Initial investment= $1,000
Increase rate= 12% = 0.12
We need to formulate an exponential equation to show the value in n years.
<u>To calculate the Future Value, we need to use the following formula:</u>
FV= PV*(1+i)^n
Being:
FV= Future Value
PV= Initial Investment
i= increase rate
n= number of periods
FV= 1,000*(1.12^n)
<u>For example, for one year:</u>
FV= 1,000*(1.12^1)
FV= $1,120
For 3 years:
FV= 1,000*(1.12^3)
FV= $1,404.93
Step-by-step explanation:
√3 x² - 2x - √3 = 0
√3 x² - 3x + x - √3 = 0
√3 x(x - √3) + 1(x - √3) = 0
(x - √3 ) (√3 x + 1) = 0
x - √3 = 0 , √3 x +1 = 0
x = √3 , x = -1/√3
1, 2, 3, 4, 1+4, 2+4, 3+4, 4+4, 4+4+1, 4+4+2, 11, 12, 13, 14, 14+1, 14+2, 14+3, 14+4, 14+4+1, 14+4+2, 21, 22, 23, 24, 24+1, 24+2, 24+3, 24+4, 24+4+1, 24+4+2, 31, 32, 33, 34, 34+1, 34+2, 34+3, 34+4, 34+4+1, 34+4+2 ,41,42, 43, 44, 44+1, 44+2, 44+3, 44+4, 44+4+1, 44+4+2
7a + 6c + 9a - 15c
-- Look for all the 'a's 7a, 9a
-- Addum up 16a
-- Look for all the 'c's 6c, -15c
-- Addum up -9c
-- Write the results 16a - 9c
Answer:
y = 4x + 2
y = 2(2x - 1)
Zero solutions.
4x + 2 can never be equal to 4x - 2
y = 3x - 4
y = 2x + 2
One solution
3x - 4 = 2x + 2 has one solution
Step-by-step explanation:
* Lets explain how to solve the problem
- The system of equation has zero number of solution if the coefficients
of x and y are the same and the numerical terms are different
- The system of equation has infinity many solutions if the
coefficients of x and y are the same and the numerical terms
are the same
- The system of equation has one solution if at least one of the
coefficient of x and y are different
* Lets solve the problem
∵ y = 4x + 2 ⇒ (1)
∵ y = 2(2x - 1) ⇒ (2)
- Lets simplify equation (2) by multiplying the bracket by 2
∴ y = 4x - 2
- The two equations have same coefficient of y and x and different
numerical terms
∴ They have zero equation
y = 4x + 2
y = 2(2x - 1)
Zero solutions.
4x + 2 can never be equal to 4x - 2
∵ y = 3x - 4 ⇒ (1)
∵ y = 2x + 2 ⇒ (2)
- The coefficients of x and y are different, then there is one solution
- Equate equations (1) and (2)
∴ 3x - 4 = 2x + 2
- Subtract 2x from both sides
∴ x - 4 = 2
- Add 4 to both sides
∴ x = 6
- Substitute the value of x in equation (1) or (2) to find y
∴ y = 2(6) + 2
∴ y = 12 + 2 = 14
∴ y = 14
∴ The solution is (6 , 14)
y = 3x - 4
y = 2x + 2
One solution
3x - 4 = 2x + 2 has one solution
