The bar graph shows the average cost of tuition and fees at private four-year colleges in the United States Source: The College Board The formula T = 21 x 2 + 862 x + 15 , 552 models the average cost of tuition and fees, T, at private U.S. colleges for the school year ending t years after 2000. Use this information to solve Exercises 131 132. a. Use the formula to find the average cost of tuition and fees at private U.S. colleges for the school year ending in 2014. b. By how much docs the formula underestimate or overestimate the actual cost shown by the graph for the school year ending in 2014? c. Use the formula to project the average cost of tuition and fees at private U.S. colleges for the school year ending in 2020.
The bar graph shows the average cost of tuition and fees at private four-year colleges in the United States Source: The College Board The formula T = 21 x 2 + 862 x + 15 , 552 models the average cost of tuition and fees, T, at private U.S. colleges for the school year ending t years after 2000. Use this information to solve Exercises 131 132. a. Use the formula to find the average cost of tuition and fees at private U.S. colleges for the school year ending in 2014. b. By how much docs the formula underestimate or overestimate the actual cost shown by the graph for the school year ending in 2014? c. Use the formula to project the average cost of tuition and fees at private U.S. colleges for the school year ending in 2020.
The bar graph shows the average cost of tuition and fees at private four-year colleges in the United States
Source: The College Board
The formula
T
=
21
x
2
+
862
x
+
15
,
552
models the average cost of tuition and fees, T, at private U.S. colleges for the school year ending t years after 2000. Use this information to solve Exercises 131 132.
a. Use the formula to find the average cost of tuition and fees at private U.S. colleges for the school year ending in 2014.
b. By how much docs the formula underestimate or overestimate the actual cost shown by the graph for the school year ending in 2014?
c. Use the formula to project the average cost of tuition and fees at private U.S. colleges for the school year ending in 2020.
Sara would like to go on a vacation in 5 years and she expects her total costs to be $3000. If she invests $2500 into a savings account for those 5 years at 8% interest, compounding semi-annually, how much money will she have? Round your answer to the nearest cent. Show you work. Will she be able to go on vacation? Why or why not?
If $8000 is deposited into an account earning simple interest at an annual interest rate of 4% for 10 years, howmuch interest was earned? Show you work.
10-2
Let A =
02-4
and b =
4
Denote the columns of A by a₁, a2, a3, and let W = Span {a1, a2, a̸3}.
-4 6
5
- 35
a. Is b in {a1, a2, a3}? How many vectors are in {a₁, a₂, a3}?
b. Is b in W? How many vectors are in W?
c. Show that a2 is in W. [Hint: Row operations are unnecessary.]
a. Is b in {a₁, a2, a3}? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your
choice.
○ A. No, b is not in {a₁, a2, 3} since it cannot be generated by a linear combination of a₁, a2, and a3.
B. No, b is not in (a1, a2, a3}
since b is not equal to a₁, a2, or a3.
C. Yes, b is in (a1, a2, a3} since b = a
(Type a whole number.)
D. Yes, b is in (a1, a2, 3} since, although b is not equal to a₁, a2, or a3, it can be expressed as a linear
combination of them. In particular, b =
+
+
☐ az.
(Simplify your answers.)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY