Concept explainers
a.
To write the student loan debt in 2010 in scientific notation.
Given:
The table,
Time (years) | Student Loan Debt (Billions of $) |
2010 | 803.5 |
2011 | 866.3 |
2012 | 959.9 |
2013 | 1071.0 |
2014 | 1155.5 |
Concept Used:
- A number in scientific notation contains a nonzero integer followed by a decimal and some nonzero integer exponent over 10.
- If the decimal point moved to the left side, raise the exponent of 10 by the positive integer digit by which the decimal moved to left.
- If the decimal point moved to the right side, raise the exponent of 10 by the negative integer digit by which the decimal moved to left.
Calculation:
From the given table, note that the student loan debt in 2010 is
Thus, the student loan debt in 2010 in scientific notation is
b.
To write the student loan debt in 2011 in scientific notation.
Given:
The table,
Time (years) | Student Loan Debt (Billions of $) |
2010 | 803.5 |
2011 | 866.3 |
2012 | 959.9 |
2013 | 1071.0 |
2014 | 1155.5 |
Concept Used:
- A number in scientific notation contains a nonzero integer followed by a decimal and some nonzero integer exponent over 10.
- If the decimal point moved to the left side, raise the exponent of 10 by the positive integer digit by which the decimal moved to left.
- If the decimal point moved to the right side, raise the exponent of 10 by the negative integer digit by which the decimal moved to left.
Calculation:
From the given table, note that the student loan debt in 2011 is
Thus, the student loan debt in 2011 in scientific notation is
c.
To write the student loan debt in 2012 in scientific notation.
Given:
The table,
Time (years) | Student Loan Debt (Billions of $) |
2010 | 803.5 |
2011 | 866.3 |
2012 | 959.9 |
2013 | 1071.0 |
2014 | 1155.5 |
Concept Used:
- A number in scientific notation contains a nonzero integer followed by a decimal and some nonzero integer exponent over 10.
- If the decimal point moved to the left side, raise the exponent of 10 by the positive integer digit by which the decimal moved to left.
- If the decimal point moved to the right side, raise the exponent of 10 by the negative integer digit by which the decimal moved to left.
Calculation:
From the given table, note that the student loan debt in 2012 is
Thus, the student loan debt in 2012 in scientific notation is
d.
To write the student loan debt in 2013 in scientific notation.
Given:
The table,
Time (years) | Student Loan Debt (Billions of $) |
2010 | 803.5 |
2011 | 866.3 |
2012 | 959.9 |
2013 | 1071.0 |
2014 | 1155.5 |
Concept Used:
- A number in scientific notation contains a nonzero integer followed by a decimal and some nonzero integer exponent over 10.
- If the decimal point moved to the left side, raise the exponent of 10 by the positive integer digit by which the decimal moved to left.
- If the decimal point moved to the right side, raise the exponent of 10 by the negative integer digit by which the decimal moved to left.
Calculation:
From the given table, note that the student loan debt in 2013 is
Thus, the student loan debt in 2013 in scientific notation is
e.
To write the student loan debt in 2014 in scientific notation.
Given:
The table,
Time (years) | Student Loan Debt (Billions of $) |
2010 | 803.5 |
2011 | 866.3 |
2012 | 959.9 |
2013 | 1071.0 |
2014 | 1155.5 |
Concept Used:
- A number in scientific notation contains a nonzero integer followed by a decimal and some nonzero integer exponent over 10.
- If the decimal point moved to the left side, raise the exponent of 10 by the positive integer digit by which the decimal moved to left.
- If the decimal point moved to the right side, raise the exponent of 10 by the negative integer digit by which the decimal moved to left.
Calculation:
From the given table, note that the student loan debt in 2014 is
Thus, the student loan debt in 2014 in scientific notation is
Chapter P Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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- Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x)=4x-12; [2,6] The area between the x-axis and f(x) is (Type an integer or a simplified fraction.)arrow_forwardEvaluate the definite integral. 70 √5√2-6 3 dz 70 S 5√2-6 dz= 7 江 (Type an integer or decimal rounded to two decimal places as needed.)arrow_forwardFind the area between the following curves. 2 y=x³-x²+x+4; y=5x² -7x+4 The area between the curves is (Simplify your answer.) ...arrow_forward
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