The value of a collectible toy is increasing exponentially. The two points on the graph
show the toy's initial value and its value 3 weeks afterward.
Answers
The question is incomplete. Here is the complete question.
Part A
The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.
Express the toy's value t, in dollars, as a function of time w in weeks after purchase.
Part B
Write an expression to represent the toy's value 10 days after purchase
Answer and Step-by-step explanation: An exponential function is of the form: [tex]y=ab^{x}[/tex]
Part A
Translating to the question, the toy's value as a function of time is
[tex]t=ab^{w}[/tex]
To determine constants a and b, we use points given by graph.
First, (0,5) to find a:
[tex]5=a.b^{0}[/tex]
a = 5
Now, (3,10) to determine b:
[tex]10=5b^{3}[/tex]
[tex]b=\sqrt[3]{2}[/tex]
b = 1.26
The toy's value as a function of time in weeks is [tex]t=5.(1.26)^{w}[/tex]
Part B
Since, the function is in weeks:
1 week = 7 days
w weeks = 10 days
[tex]w = \frac{10}{7}[/tex]
Replacing w:
[tex]t=5.(1.26)^{w}[/tex]
[tex]t=5.(1.26)^{10/7}[/tex]
Expression that represents toy's value after 10 days is [tex]t=5.(1.26)^{10/7}[/tex].
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Answers
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33.333...(%)
Step-by-step explanation:
4 divided by 12 gives you 0.333... (3 repeating)
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37 + 24 = 61
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Answer:
61
Step-by-step explanation:
37+24=61
dude someone help asap it’s 20 points
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(x, y) (-X, Y)
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(xy) -(-y.x)
(x, y) (y.-x)
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Step-by-step explanation:
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Assuming the bedroom is rectangular, find the area of the real bedroom.
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In an isosceles triangle the base angles are both 32 degrees, find the vertex
Answers
Answer:
116 deg
Step-by-step explanation:
note that an isoceles triangle always have 2 base angles that are equal.
Here we are already given one base angle of 32 deg. It follows that the other base angle must also be 32 deg.
We now have 2 angles of a triangle and we need to find the remaining one. Also recall that all 3 internal angles of a triangle sum to 180 deg. if we let the missing angle be x, then:
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Answers
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The variable q represents a positive integer. Does 3(59 + 9) + 5q represent a number that is greater than, less than, or equal to 4(59 + 6)? Show your work.
Thank you if you awnser this!
Answers
Answer:
Depends on the value of q.
Step-by-step explanation:
3(59+9) + 5q = 3(68) + 5q = 204 + 5q
4(59+6) = 260
The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first number be p = 3(59 + 9) + 5q
Now , the value of a = 204 + 5q
And , let the second number be q = 4(59 + 6)
Now , the value of b = 260
Now , for the value of p and q to be equal ,
Substituting the values in the equation , we get
204 + 5q = 260
Subtracting 204 on both sides of the equation , we get
5q = 56
Divide by 5 on both sides of the equation , we get
q = 11.2
Now , when q < 11.2 , the value of a < b
Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ2
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Answers
Hi there!
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