If the value of the baseball card increases by 3% per year then we can say that each year the value of the card may be multiplied by 103% = 1.03, thus:
Value after n years = original price*(1.03)^n
Value after 15 years = 75*(1.03)^15
= $116.85
Answer: -7/5
Step-by-step explanation:
-4(1/5)⋅(1/3)
Convert -4(1/5) to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
− (4 +1/5) ⋅(1/3)
Add 4 and 1/5
-21/5 ⋅ 1/3
Cancel the common factor of 3.
Move the leading negative in − 21
/5 into the numerator.
−21/5 ⋅ 1/3
Factor 3 out of −21.
3 (−7)/5 ⋅ 3
/1
Cancel the common factor.
Rewrite the expression.
−7
/5
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
Answer:
(1)
Karen:
Alice:
(2): Slope is 2
(3) y intercept
--- For Karen
--- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
Solving (1): Complete the equation.
For Karen:
--- the rate
--- additional spendings
For Alice:
--- the rate
--- additional spendings
The general equation is;
For Karen, it becomes
For Alice, it is:
(2): The slopes.
In (1), we have:
--- the rate (for both Karen and Alice).
This rate implies the slope.
<em>Hence, the slope is 2</em>
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
--- For Karen
--- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
Subtract both equations
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
<em>Hence, it is not possible to spend the same amount for the same number of loaves</em>