The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If 
If 
So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change 
Substituting the values, we get
The percentage rate of change 
.
As the values of y decrease with an increase in x, it is the percent decrease per unit.
Step-by-step explanation:
<h2>
<em>y = ± 5⁄2 x</em></h2><h2>
<em>y = ± 5⁄2 xThe equation is the left half of the hyperbola. The domain is ( – ∞, – 1⁄5 ]. The range is ( – ∞, ∞ ). The vertical line test indicates that this is not the graph of a function.</em></h2>
Answer: -66.67%, but if the answer is supposed to positive then the answer is 66.67%.
<em>* Hopefully this helps:) </em>
Amount of money saved by Jordon for the video game = (4/5) * 80
= 4 * 16 dollars
= 64 dollars
So
The amount of money that
Jordan needs to earn more for buying the video game = (80 - 64) dollars
= 16 dollars
Amount earned by Jordan per hour working at a pizza shop = $7.75
Let us assume the number of hours Jordan needs to work to save the rest of the money for the video game = x
Then
7.75x = 16
x = 16/7.75
= 2.06 hours
So it can be said that Jordan has to work 3 hours to save the rest of the money for the video game. If Jordan works 2 hours then he will be short of the required amount. If Jordan works for 3 hours he will have some excess amount in his hand after saving for the video game.
Answer:
The sum of all positive integers less than 100, which are not divisible by 3 is 3267.
Step-by-step explanation:
The all positive integers less than 100 has sum, given by
S₁ = 1 + 2 + 3 + 4 + ......... + 99
⇒ S₁ = 
Now, the sum of all positive integers less than 100 which are divisible by 3 is
S₂ = 3 + 6 + 9 + 12 + 15 + ........ + 99
⇒ S₂ = 3(1 + 2 + 3 + ........ + 33)
⇒ S₂ = 
Therefore, the sum of all positive integers less than 100, which are not divisible by 3 is = S₁ - S₂ = 4950 - 1683 = 3267. (Answer)
Note : The sum of n natural numbers S is given by
S = 1 + 2 + 3 + 4 + ....... + n = 
.
