Answer: The answer is 3573.64
Step-by-step explanation:
Exponential Functions:
y=ab^x
a=starting value = 19000
r=rate = 11.25%=0.1125
Exponential Decay:
b=1-r=1-0.1125=0.8875
Write Exponential Function:
y=19000(0.8875)^x
Plug in time for x:
y=19000(0.8875)^14
y= 3573.6388855
Evaluate
:
y≈3573.64
Answer:
x = 9/11
Step-by-step explanation:
x + 5 = 12x - 4
Subtract x from both sides
x + 5 - x = 12x - x - 4
5 = 11x - 4
Add 4 to both sides
5+ 4 = 11x - 4 + 4
9 = 11x
Divide both sides by 11
9/11 = 11x/11
9/11 = x
x = 9/11
If starting out, there are 100 marbles and Zoe pulls out a 5 and doesn't replace it, then there are 99 marbles left to choose from. So, there are 9 digits 1-10 (not including #5) making the proportion you have left 9/99 which simplifies to 1/11
Answer:
There are 157.48 inches in 4 meters.
Answer:
r = 7t
or not mathematically,
r(t) = 7t
r(t) means, r, which is a function of t.
Step-by-step explanation:
Initial size of the radius = 0 cm, at t = 0 s
Rate of increase of the radius of the circle = 7 cm/s
dr/dt = 7
dr = 7 dt
∫ dr = 7 ∫ dt
r = 7t + C (C is the constant of integration)
At t = 0, r = 0,
0 = 0 + C
C = 0
r = 7t.
r(t) = 7t