Answer:
-Exponential Decay
-Decay factor is (1-0.05)
Step-by-step explanation:
-Given that the number decreases by a defined rate each year from the initial size by 5%,
-This is an exponential decay function of the form:

Where:
is the quantity/size after time t
is the initial size
is the rate of decay
-Our function can the be written as

Hence, the decay rate/factor is 0.05
#Alternatively
The exponential decay can be of the form:

Where:
y is the size at time x, a is the initial size, x is time and b is the decay factor.
b is of the form 

Hence, the decay factor is (1-0.05)
Answer:
28 t-shirts
Step-by-step explanation:
x = # of t-shirts
12x = 336
x = 28
Step-by-step explanation:
Two angles are called suplementary when their measures add to 180 degrees.
D+F= 180
3x+5+2x= 180
5x+5=180
5x= 175
x= 35°
angle D = 3x+5= 3(35)+5= <u>110°</u>
Easy
remember
x^-m=1/(x^m)
so
f(-1)=4*7^-1=4*(1/(7^1))=4*(1/7)=4/7
f(2)=4*7^2=4*49=196
Answer:
Mean of the data would be 6c
Step-by-step explanation:
<u>Rule to Remember:</u> Whenever each term of the data is multiplied by the same number, the new mean is previous mean multiplied by that number.
In this case, original value of mean was c. Each value of the data is multiplied with 6 so a result the new mean would be 6 times the original mean i.e. 6c
Let us consider that original values in the data set are x, y and z. Their mean would be:

If each value of the data is multiplied with 6, the new values would be 6x, 6y and 6z. The mean in this case will be:

We can see from above that the new mean is 6 multiplied to the original mean.
Therefore, the answer to this question is 6c.