It would have been helpful if you put the picture
Exponential decay is given by the equation
F = P(1 - r)^t
0.5 = 1(1 - 0.092)^t
0.5 = (0.908)^t
log 0.5 = log (0.908)^t
log 0.5 = t * log 0.908
t = (log 0.5)/(log 0.908)
t = 7.18
Answer: 7.2 years
Answer:
$38,562.5
Step-by-step explanation
Using the compound interest formula
A = P(1+r/n)^nt
P is the principal = $125,000
r is the rate = 6% = 0.06
time t = 5years
n = 0.25 (quarterly payment)
Substitute
A = 125000(1+0.06/0.25)^5(0.25)
A = 125000(1+ 0.24)^1.25
A = 125000(1.24)^1.25
A = 125000(1.3085)
A = 163,562.5
Hence the interest earned = 163,562.5 - 125000
interest earned = $38,562.5
(x+3)/2x+5 + (3x-5)/(3x+5)
LCM = ( 2x+5)( 3x+5)
[( x+3)( 3x+5) + ( 3x -5)( 2x+5)]/( 2x+5)( 3x+5)
= (3x^2 + 5x +9 x +15 + 6x^2 + 15x -10x -25)/( 2x+5)( 3x+5)
=( 9 x^2 + 19x -10)/( 2x +5)(3x+5)
A) option
Answer:
no solutions
Step-by-step explanation:
10x+2y=42
5x+y=20
Multiply the second equation by -2 to use elimination
-2(5x+y)=20*-2
-10x -2y = -40
Add this to the first equation
10x+2y=42
-10x -2y = -40
--------------------------
0 = 2
This is never true. This means there are no solutions
