the difference from 240 to 120 is 50%
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
Answer:
a. 10 + 2.50x
b. 60
c. 100
Step-by-step explanation:
a. 10 + 2.50x
b. 10 + 2.50(20)
= 10 + 50
= 60
c. 260 = 10 + 2.50x
250 = 2.50x
250/2.50 = x
x = 100
$150 (budget) - $30 (spend on herself) = $120 (left)
120 / 15 = $8
(150 - 30) divided by 15 = $8
Only $8 maximum can be spent on each family member