Answer:
<em>C(19)=12 responses</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function can be expressed as follows:
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 company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.
This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.
The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:
Calculating:
We are required to calculate the number of responses at day t=19, thus:
C(19)=12 responses
First we combine the parenthesis to get 9/(-2-i) then we multiply both the numerator and the denomenator by the conjugate of -2-i (whic is -2+i) to get (-18+9i)/5
<span><u>Answer
</u>
18 feet and 4.5 inches
<u>Explanation
</u>
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.
</span>
Answer:
3
Step-by-step explanation:
Order of Operations; PEMDAS
Parentheses
Exponents
Multiplication & Division (Left to Right) (ex: 10x2÷5) You would do whatever comes left for Multiplication or Division.
Addition & Subtraction (Left to Right) (ex: 10-2+5) You would do whatever comes left for Addition & Subtraction.
3x+6 =
(9+6=15)
(6x2=12)
(12-15=<u>3</u>)
