College Tuition Nikki and Joe take classes at a community college, LCCC, and a local university, SIUE. The number of credit hours taken and the cost per credit hour ( 2018 − 2019 academic year, tuition and approximate fees) are as follws: LCCC SIUE Nikki 6 9 Joe 3 12 Cost per Credit Hour LCCC $ 148.00 SIUE $ 404.40 Write a matrix A for the credit hours taken by each student and a matrix B for the cost per credit hour. Compute A B and interpret the results.
College Tuition Nikki and Joe take classes at a community college, LCCC, and a local university, SIUE. The number of credit hours taken and the cost per credit hour ( 2018 − 2019 academic year, tuition and approximate fees) are as follws: LCCC SIUE Nikki 6 9 Joe 3 12 Cost per Credit Hour LCCC $ 148.00 SIUE $ 404.40 Write a matrix A for the credit hours taken by each student and a matrix B for the cost per credit hour. Compute A B and interpret the results.
Solution Summary: The author determines the matrix for the credit hours taken by each student and the cost per credit hour for Nikki and Joe.
College Tuition Nikki and Joe take classes at a community college, LCCC, and a local university, SIUE. The number of credit hours taken and the cost per credit hour (
2018
−
2019
academic year, tuition and approximate fees) are as follws:
LCCC
SIUE
Nikki
6
9
Joe
3
12
Cost
per
Credit
Hour
LCCC
$
148.00
SIUE
$
404.40
Write a matrix
A
for the credit hours taken by each student and a matrix
B
for the cost per credit hour.
Find the area of the shaded region.
(a)
5-
y
3
2-
(1,4)
(5,0)
1
3
4
5
6
(b)
3 y
2
Decide whether the problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to
estimate the solution.
STEP 1: Consider the figure in part (a). Since this region is simply a triangle, you may use precalculus methods to solve this part of the problem. First determine the height of the triangle and the length of the triangle's base.
height 4
units
units
base
5
STEP 2: Compute the area of the triangle by employing a formula from precalculus, thus finding the area of the shaded region in part (a).
10
square units
STEP 3: Consider the figure in part (b). Since this region is defined by a complicated curve, the problem seems to require calculus. Find an approximation of the shaded region by using a graphical approach. (Hint: Treat the shaded regi
as…
Solve this differential equation:
dy
0.05y(900 - y)
dt
y(0) = 2
y(t) =
Suppose that you are holding your toy submarine under the water. You release it and it begins to ascend. The
graph models the depth of the submarine as a function of time.
What is the domain and range of the function in the graph?
1-
t (time)
1 2
4/5 6 7
8
-2
-3
456700
-4
-5
-6
-7
d (depth)
-8
D: 00 t≤
R:
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Introduction: MARKOV PROCESS And MARKOV CHAINS // Short Lecture // Linear Algebra; Author: AfterMath;https://www.youtube.com/watch?v=qK-PUTuUSpw;License: Standard Youtube License
Stochastic process and Markov Chain Model | Transition Probability Matrix (TPM); Author: Dr. Harish Garg;https://www.youtube.com/watch?v=sb4jo4P4ZLI;License: Standard YouTube License, CC-BY