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:
<em>The cost of 10 cm and 70 cm are £0.55 and £3.85 respectively.</em>
Step-by-step explanation:
Material for a dress costs £5.50 per meter.
We know that, <u>1 meter = 100 cm</u>.
Suppose, the cost of 10 cm material is 
and the cost of 70 cm material is 
Now, <u>according to the ratio of "cost" to the "length of material"</u> , we will get.......
and
So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85
Answer:
10
Step-by-step explanation:
2+(2x4)
2x4=8
2+8=10
<span>This is an isosceles triangle. If each side is 1, we can find the hypotenuse using the Pythagorean theorem.
a^2 + b^2 = c^2
1^2 + 1^2 = c^2
1 + 1 = c^2
2 = c^2
root 2 = c
Thus, the answer is root 2.
Hope this helps :)</span>
Answer:it will take 200 kilometers for the costs to be the same.
Step-by-step explanation:
Let x represent the number of kilometers that Andrea would have to drive for the total cost of renting from both companies to be the same.
Action trucks charges $80 for the day plus $0.22 per kilometer. It means that the total cost of x miles would be
80 + 0.22x - - - - - - - - - 1
Truck experts charges $100 for the day plus $0.12 per kilometer. It means that the total cost of x miles would be
100 + 0.12x - - - - - - - - - 2
Therefore, for the cost of renting from both companies to be the same,
80 + 0.22x = 100 + 0.12x
0.22x - 0.12x = 100 - 80
0.1x = 20
x = 20/0.1 = 200
