Answer:

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 concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1
Substituting into the general equation:

Operating:

Answer:
Rs.64
Step-by-step explanation:
<u>Amount of oranges:</u>
<u>Oranges sold:</u>
<u>Money made:</u>
<u>Selling price of 150 kg:</u>
<u>Cost price:</u>
- x+10% = 70.4
- x*1.1= 70.4
- x= 70.4/1.1
- x= Rs.64
- Cost price of oranges= Rs. 64
Answer:
The total cost of 5 pillows and 7 sheets is $205.345
Step-by-step explanation:
Let x be the price of pillow case
We are given that the price of the pillows is 3 times as much as the price of a pillow case
Price of pillow = 3x
Price of 2 pillows = 2(3x)=6x
Price of 3 pillow case = 3x
At a store, 2 pillows and 3 pillow cases together cost $73.08.
So, 6x+3x=73.08
9x=73.08

x=8.12
So, Price of 1 pillow case = 8.12
Price of 1 pillow = 3x=3(8.12)=24.36
Price of 3 pillow =3(24.36)=73.08
Let y be the cost of 1 sheet
The total cost of 3 pillows and 4 sheets is $120.82
So, 73.08+4y=120.82

y=11.935
Price of 1 sheet = 11.935
Price of 7 sheets = 7(11.935)=83.545
Price of 5 pillows =5(24.36)=121.8
So,the total cost of 5 pillows and 7 sheets=83.545+121.8=205.345
Hence the total cost of 5 pillows and 7 sheets is $205.345
The rule of the <span>geometric sequence is

a ⇒⇒⇒ </span><span>the first term
r ⇒⇒⇒ </span><span>common ratio
Given: the fourth term </span>(a4) <span>= 121.5 and the common ratio = 3 and n = 4
∴</span><span>

∴ a = 121.5/3³ = 121.5/27 = 4.5
So, T</span><span>he formula for this sequence will be</span><span>

</span>
Answer:
A. f(x) = 6x + 9
Step-by-step explanation:
The given equation is:
y - 6x - 9 = 0
We have to write this equation in function notation with x as the independent variable. This means that y will be replaced by f(x) and all other terms will be carried to the other side of the equation to get the desired function notation.
y - 6x - 9 = 0
y = 6x + 9
f(x) = 6x + 9
Therefore, option A gives the correct answer.