Answer:
It will take 47 hours
Step-by-step explanation:
We can have the exponential function as follows;
P = I( 1 + r)^n
if the initial value was x , the final will be 2x
The change rate is 1.5% , which is r, this is same as;
1.5/100 = 0.015
So what we want to calculate is the n attached
This will be;
2x = x ( 1 + 0.015)^n
2 = 1.015^n
ln 2 = n ln 1.015
n = ln 2/ln 1.015
n = 46.55
This is approximately 47 hours
To check the decay rate, we need to check the variation in y-axis.
Since our interval is
To compare the decay rates we need to check the variation on the y-axis of both functions.
Now, we calculate their ratio to find how they compare:
This tell us that the exponential function decays at three-fourths the rate of the quadratic function.
And this is the fourth option.
Let the smallest angle = x
Then the larger one = 71x
Supplementary angles are always equal to 180o
x + 71x = 180o Add the left side
72x = 180 Divide by 72
x = 180/72
x = 2.5
The smallest angle = 2.5 degrees
The largest angle = 2.5 * 71
The largest angle= 177.5 degrees.
Sec theta = 1/cos theta = 1/0.5 = 2
Option D is the correct answer.
X= 130 degrees since 180 is the total minus 50 from above