Which equation represents the line that passes through the points (6,9) and (3.5)?
1 answer:
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Hi!
Samuel bought the mixer for $54,205. The value of this (the prive) decreases every year at a costant rate (so, for example, it may decrease of $100 every year).
we are solving for t and we should keep in mind that we multiply the price for the function (1 - rate/100)^time
in f(t) you put the value of year 1 for example
Solving for r will bring us to the solution, and we can substitute 1 to t since we are calculating how much it decreases after ONE year.
We would divide for 54205 to cancel out that 54205 multiplicating the parenthesis.
Also, the x is given by the formula (vale2-value1)/value1 to see how much the price changes from year 1 to year 2
We will get
Again, it would be:
f(t) = 54205(0.13)^1
Samuel bought the mixer for $54,205. The value of this (the prive) decreases every year at a costant rate (so, for example, it may decrease of $100 every year).
we are solving for t and we should keep in mind that we multiply the price for the function (1 - rate/100)^time
in f(t) you put the value of year 1 for example
Solving for r will bring us to the solution, and we can substitute 1 to t since we are calculating how much it decreases after ONE year.
We would divide for 54205 to cancel out that 54205 multiplicating the parenthesis.
Also, the x is given by the formula (vale2-value1)/value1 to see how much the price changes from year 1 to year 2
We will get
Again, it would be:
f(t) = 54205(0.13)^1
The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.
Step-by-step explanation:
Let,
x be the shortest piece.
Therefore,
Middle piece = x+5
As shortest piece is 9 in shorter than longer piece;
Shortest piece = longest piece - 9
x = longest piece - 9
longest piece = x+9
Length of sandwich = 56 in
According to given statement;
Shortest piece + middle piece + longest piece = 56
Dividing both sides by 3;
Shortest piece = 14 in
Middle piece = 14+5 = 19 in
Longest piece = 14+9 = 23 in
The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.
Keywords: Addition, linear equation
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