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butalik [34]
3 years ago
8

the function f(x) =50(1+0.17)^t models the value of a comic book after t years. the growth is compounded annuall. based on the f

unction, what is the original value of the comic book?​
Mathematics
1 answer:
AfilCa [17]3 years ago
6 0

Answer:

The original value of the comic book is \$50

Step-by-step explanation:

we have

f(x)=50(1+0.17)^{t}

we know that

The original value of the comic book is equal to the value of the function for t=0

so

substitute the value of t=0 in the function

f(0)=50(1+0.17)^{0}

f(0)=50(1)=\$50

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To conserve water, many communities have developed water restrictions. The water utility charges a fee of $38, plus an additiona
earnstyle [38]

Using a linear function, the correct option regarding the situation is given by:

C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The bill is modeled by a linear function, with an <u>intercept of $38 and a slope of $1.28</u>, hence it is given by:

C(x) = 1.28x + 38

The bill should be between $57 and $87 dollars per month, hence:

57 <= C(x) <= 87.

The values of x are:

C(x) >= 57

1.28x + 38 >= 57

x >= 19/1.28

x >= 14.8.

C(x) >= 87

1.28x + 38 >= 87

x >= 49/1.28

x >= 38.3.

Hence option C is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

8 0
2 years ago
Choose the solution set represented by the following graph
Juliette [100K]
The answer to the question is the first one
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