Answer:
-30
Step-by-step explanation:
Answer:
The future value is $3793.776
Step-by-step explanation:
Given
--- present value
--- rate
--- time
--- quarterly
Required
Determine the future value
This is calculated using:

So, we have:






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:
Step-by-step explanation:
1/9
(1*4) / (9*4) = 4/36
(1*4) / (9*4) = 5/45
The first one is the ratio as it is stated in the problem.
The second one multiplies top and bottom by 4
The third one multiplies top and bottom of the top ratio by 5.
Answer:14in
Step-by-step explanation:
volume(v)=196π
Height(h)=1
Radius=√(v ➗ π x h)
Radius=√(196π ➗ πx1)
Radius=√(196)
Radius=14in