The price:
- last year: $2.25
- this year: $.45
The decrease: $2.25 - $.45 = $1.80
2.25 : 1.80 = 100 : x
2.25 x = 180
x = 180 : 2.25
x = 80
Answer:
The percent of decrease is A ) 80%
Answer:
Step-by-step explanation:
Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl
Let us represent:
The age of :
Tanisha = a
Elicia = b
Ajua = c
Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua
a = 2c
c = 2/a
Elicia is two years older than Tanisha.l
b = a + 2
The sum of all their ages is 37.
a + b + c = 37
We substitute
a + a + 2 + 2/a = 37
2a + 2 + 2/a = 37
Use variable expressions and calculate the age of each girl
Using the continuity concept, it is found that the function is continuous for all real values.
<h3>What is the continuity concept?</h3>
A function f(x) is continuous at x = a if it is defined at x = a, and:

In this problem, we are given a piece-wise function, hence we have to look at the points where the definition of the function changes. In this problem, it can only be discontinuous at x = 0, which we have to verify.
Then:
.
.
.
The 3 values are equal, hence the function is continuous at x = 0 and for all real values.
More can be learned about the continuity of a function at brainly.com/question/24637240
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Answer:
c. 1.067
Step-by-step explanation:
Hope it helps.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The price p, in dollars, of a specific car that is x year old is modeled by the function p(x)=22,255(0.91)^x
a) to determine the cost of a 2 year old car, we will substitute 2 for x in the given function. Therefore
p(2)=22,255(0.91)^2
p(2)=22,255 × 0.8281 = $18673.655
Approximately $18674
b) to determine the cost of a 7 year old car, we will substitute 7 for x in the given function. Therefore
p(7)=22,255(0.91)^7
p(2)=22,255 × 0.51676101936 = 11500.51648579693
Approximately $11501
c) 0.91 indicates exponential decay rate. It is a fixed percentage by which the value of the car decreases every year. It is determined by (1 - rate of decay)