Answer:
<em>Student 2 is incorrect because he didn't use the formula properly</em>
Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The initial value of the item is Co=$1000, the rate of decay is r=40%=0.4, and the time is t=3 years.
Substituting into the formula:
C(3)=$216
Student 2 is incorrect because he didn't use the formula properly
Answer: 9.9 years.
Step-by-step explanation:
If interest is compounded continuously, then formula to compute final amount A = 
, where P =initial amount, r= rate of interest , t=time.
Given: P= $61,000, r= 1.9% =0.019 , A = $ 73600
Substitute all values in formula
Taking natural log on both sides
Hence, the required time = 9.9 years.
Answer:
= 12
Step-by-step explanation:
The shape ABCDEF is an irregular polygon.
The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).
Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°
So to find the value of , we need to add together all the interior angles and equal it to 720, then solve for .
Before we do that, we need to determine angle F.
From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°
Therefore:
A + B + C + D + E + F = 720
(10 - 5) + 108 + (8 - 3) + (14 - 25) + 133 + 128 = 720
Collect like terms:
10 + 8 + 14 - 5 + 108 - 3 - 25 + 133 + 128 = 720
Combine like terms:
32 + 336 = 720
Subtract 336 from both sides:
32 = 384
Divide both sides by 32:
= 12
Answer:
C
Step-by-step explanation:
When you find the volume for the cone and cylinder they are both 235.62
