Answer:
Step-by-step explanation:
24 + 36 = 12*2 + 12*3
= 12* (2 + 3)
= 12 * 5
= 60
Answer:
The sin A expressed in ratio form is 
Step-by-step explanation:
From the given right angled triangle diagram, sin A is calculated as follows;
Therefore, the sin A expressed in ratio form is
12 feet below would be -12. from -12 to 0 would be 12 feet.
from 0 to 32 above would be 32 feet.
Total distance = 12 + 32 = 44 feet.
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
