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:
4 1/2
Step-by-step explanation:
Look at this expression as given in the original problem; the numbers, properly typewritten, are -5 1/2, - 4 1/4, + 6 3/4.
We want to combine these three numbers into one.
To do this, we need the LCD; it is 4.
Thus, -5 1/2 is rewritten as -5 2/4.
Then we have
-5 2/4 - 4 1/4 + 6 3/4 = -5 -4 + 6 + 2/4 + 1/4 + 3/4.
This simplifies to: +3 + 6/4, or 3 + 1 + 2/4, or
4 1/2
Answer: 7
How many took 7.5 OR less. This means it includes the hikes that took 7.5 hours. Count all of the ones that start from 7.5 and lower
2(x - 1) > = -12
2x - 2 > = -12
2x > = -12 + 2
2x > = -10
x > = -10/2
x > = -5 or -5 < = x
wrong solution would be B. x less then or equal to -5....because x is greater then or equal to -5
Answer:
C. -6
Step-by-step explanation:
-3(2)²+4(2)-2
-3(4) + 8 - 2
-12+8-2
-14+8
-6