Answer:
<em>M(13)=14.3 gram</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is used to model natural 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 element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.
The equation of the model is:


Operating:

After t=13 minutes the remaining mass is:

Calculating:
M(13)=14.3 gram

So, your answer to this problem is
c = 4.
Answer:
1/2
Step-by-step explanation:
1/2=10/20
For this case we have the following function:

Where,
A0: initial population
K: rate of change
t: time in years
Substituting values we have:

For the year 2015 we have:
Answer:
the predicted population in 2015 is:
19,807
Using scale concepts, it is found that the length of her office is of 10 ft, while the width is of 5 ft.
------------------------
- The scale of 6 cm to 15 ft means that each <u>6 cm in the drawing represent 15 ft in actual dimensions</u>.
- From this, a rule of three is applied to find the dimensions.
First, we find the actual length:
6 cm - 15 ft
4 cm - x ft



The actual length is of 10 ft.
Then, we find the actual width:
6 cm - 15 ft
2 cm - x ft



The actual width is of 5 ft.
A similar problem is given at brainly.com/question/24743277