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:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer:
I think it's 9 again I think
Step-by-step explanation:
Yea, there's a formula :
radians = degrees × π / 180°
Answer:
1. 30j+12+6j
2. 36j+12
3. 6(6j+2)
Step-by-step explanation:
1. You just multiply so... 6x5j ... 6x2 ... 6xj
2. you multiply and then simplify so first you have 30j+12+6j, so you add like terms so... 30j+6j= 36j and then +12
3. you do what's in the parentheses first so 5j+j=6j so .... 6(6j+2)
