Answer:
43 .......................
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount of money deposited.
P represents the principal or amount deposited.
R represents interest rate
T represents the duration of the in years.
From the information given,
P = 6000
R = 5%
T = 1 year
I = (6000 × 5 × 1)/100 = $300
The amount of interest earned each year is $300
25x² - 36 = 0
25x² - 30x + 30x - 36 = 0
5x(5x) - 5x(6) + 6(5x) - 6(6) = 0
5x(5x - 6) + 6(5x - 6) = 0
(5x + 6)(5x - 6) = 0
5x + 6 = 0 or 5x - 6 = 0
- 6 - 6 + 6 + 6
5x = -6 5x = 6
5 5 5 5
x = -1.2 x = 1.2
Solve the equation:
3e^(2x + 1) = 12
e^(2x + 1) = 12/3
e^(2x + 1) = 4
2x + 1 = ln(4)
2x + 1 = ln(2^2)
2x + 1 = 2 ln(2)
2x = 2 ln(2) - 1
x = [ 2 ln(2) - 1 ] / 2 <----- this is the answer.
________
Checking:
2x + 1 = 2 ln(2)
2x + 1 = ln(4)
e^(2x + 1) = e^[ ln(4) ]
e^(2x + 1) = 4
3e^(2x + 1) = 3 * 4
3e^(2x + 1) = 12 (checked)
I hope this helps. :-)