Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
Answer:
depends on the number... using a variable it would be 1/2n+15
Step-by-step explanation:
It's easy. Half of a number would be dividing it in half then adding 15.
Answer:
A=(21/5,-22/5) B=(5,-6)
Step-by-step explanation:
Answer:
5x^-3x-36/x-3
Step-by-step explanation:
Answer:
429.42 cm
Step-by-step explanation:
<u>Volume of a rectangle prism:</u>
V = whl
V = (5)(12)(7)
V = 420
<u>Volume of a cylinder:</u>
V = πr²h
V = (3.14)(1²)(3)
V = (3.14)(1)(3)
V = 9.42
<u>Combined:</u>
420 + 9.42
429.42
