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sergejj [24]
3 years ago
6

The sales at a particular bookstore grew from $2006 million in 2000 to $3803 million in 2005. Find an exponential function to mo

del the sales as a function of years since 2000. Give your answer using the form B = Boat..
Mathematics
1 answer:
Mariana [72]3 years ago
4 0
Yes initial amount is 2044 (in millions) 

Since the function is from 2000 then you can set it up as 
B(t)=2044*a^t 

To solve for "a" use the second number given, 3846, and since this value is 5 years after 2000 t=5 
so we plug in these values 
3846=2044*a^5 

we now solve for a 

first, divide by 2044 
3846/2044=a^5 

next, we take the 5th root 
<span>5sqrt(3846/2044) = a 

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
</span>
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A universal set contains only sets A and B. If A∩B = Ø and A and B are not the empty set, then all of the following are true exc
NNADVOKAT [17]

The <em>correct answer</em> is:


A∪B={}


Explanation:


Since A∩B = ∅, we know that A and B have no elements in common. This means they are disjoint.


Since the universal set is made up of A and B, and A and B have no elements in common, then A is equal to the complement of B, or A = B'.


Since A and B have no elements in common, A is not a subset of B.


Since we are told at the beginning that A and B are not the empty set, there is no way that their union would be empty. The union of A and B, or A∪B, would contain at least two distinct elements, one from A and one from B.

7 0
3 years ago
Read 2 more answers
Substitute this equation x+3y=18 &amp; -x-4y=-25
sveticcg [70]

Answer:

 {x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    x + 3y = -18

  [2]    -x + 4y = -25

Graphic Representation of the Equations :

   3y + x = -18        4y - x = -25  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  x  

 

 [1]    x = -3y - 18

// Plug this in for variable  x  in equation [2]

  [2]    -(-3y-18) + 4y = -25

  [2]    7y = -43

// Solve equation [2] for the variable  y  

  [2]    7y = - 43  

  [2]    y = - 43/7  

// By now we know this much :

   x = -3y-18

   y = -43/7

// Use the  y  value to solve for  x  

   x = -3(-43/7)-18 = 3/7  

Solution :

{x,y} = {3/7,-43/7}

5 0
3 years ago
I need some Help please
djverab [1.8K]

Answer:

a) f(2) = 4

b) g(3) = 3

c) g(1/3) = -1

d) f(3) = 1/2

e) g(-2) = 2

f) f(π) = 3

Step-by-step explanation:

We are given:

f={(2,4),(-4,3),(3,1/2),(π,3)} and g={(3,3),(-2,2),(1/3,-1)}

We need to find the following values of f and g

a) f(2)

f(2) means when x=2, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =2 then y=4

So, f(2) = 4

b) g(3)

g(3) means when x=3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =3 then y=3

So, g(3) = 3

c) g(1/3)

g(1/3) means when x=1/3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =1/3 then y=-1

So, g(3) = -1

d) f(3)

f(3) means when x=3, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =3 then y=1/2

So, f(3) = 1/2

e) g(-2)

g(-2) means when x=-2, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =-2 then y=2

So, g(-2) = 2

f) f(π)

f(π) means when x=π, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =π then y=3

So, f(π) = 3

6 0
3 years ago
BIG IDEAS MATH
sveticcg [70]

Answer:

The required expression is \frac{y}{4}-3.

The value of the expression when y=20 is 2.

Step-by-step explanation:

Consider the provided phase.

3 less than the quotient of a number y and 4

The quotient of a number y and 4 can be written as: \frac{y}{4}

Now 3 less than the quotient of a number y and 4  can be written as:

\frac{y}{4}-3

Hence, the required expression is \frac{y}{4}-3.

Now evaluate when y=20.

Substitute y=20 in above expression.

\frac{20}{4}-3

5-3

2

Hence, the value of the expression when y=20 is 2.

3 0
4 years ago
Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A fo
jeka94

Answer:

(a) F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

Step-by-step explanation:

(a) If F(A, B, C) = 1 iff exactly one of the coins is heads, then either

A is heads and the others are tails (AB'C')

B is heads and the others are tails (A'BC')

C is heads and the others are tails (A'B'C)

Hence, as a minterm expansion,

F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) To get the corresponding maxterm expansion, we convert to binary.

F(A, B, C) = \sum (100, 010, 001) = \sum(4,2,1)

The maxterm is the product of the complements.

F(A, B, C) = \prod (0, 3, 5, 6, 7) = \prod(000, 011, 101, 110, 111)

Expanding,

F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

3 0
3 years ago
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