Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
2 answers:
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Answer:
The last graph
Step-by-step explanation:
We transform functions in the following ways:
- multiplying the function by a number to stretch or shrink it
- multiplying by a negative to flip the orientation of the function
- adding/subtracting a value to the input x to shift it horizontally
- adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.
Looking at the equation we can see
- Vertically shrunk by 0.5
- Negative leading coefficient to flip the graph's orientation
- Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
- Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)
The last graph has vertex (-3,-2) and satisfies the the equation.
You can identify that "5 over 100" can be written as a fraction. 5 will be the numerator and 100 will be the denominator:
To reduce this fraction, you need to divide the numerator and the denominator by the Greatest Common Factor (GCF) between them.
In this case, to find the GCF, you need to:
- Decompose the number into their Prime Factors:
- Notice that 5 is a common factor. Then, you need to choose the one with the lowest exponent:
Therefore, by dividing the numerator and the denominator by 5, you get:
Hence, the answer is: