On his last credit card bill, Frank paid a variable finance rate of 1.5 percent on the first $500, and 1 percent
1 answer:
Answer:
- $ 9.91
Explanation:
The amount that Frank paid on his last credit card bill shows how piecewise functions work.
Taking into account that:
- 1.5 percent = 1.5/100 = 0.015,
- 1 percent = 1 / 100 = 0.01, and
- 0.015 × 500 = 7.50,
You can model the amount paid using the piecewise function p(x):
Thus, your calculation is:
- x = $741.23
- p(x) = $7.50 + $ 0.01 × (741.23 - 500) = $ 9.91
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Answer:
1.
- Degree: 2
- Number of terms: 3
2.
- Degree: 3
- Number of terms: 2
3.
- Degree: 4
- Number of terms: 2
Step-by-step explanation:
For this exercise you need to remember the multiplication of signs:
1. Given:
Apply the Distributive property:
Add the like terms:
You can idenfity that:
- Degree: 2
- Number of terms: 3
2. Given:
Add the like terms:
You can idenfity that:
- Degree: 3
- Number of terms: 2
3. Given:
Apply Distributive property:
Add the like terms:
You can idenfity that:
- Degree: 4
- Number of terms: 2
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:
How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.
Multiplying by (-1)
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
So
Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.