True or False? Explain. The following systems are referenced in statements 1–7: (a) x + y − z = 2 − x − y + z = 4 x − 2 y + 3 z = 9 (b) x + y − z = 6 x + y + z = 4 x − y − z = 8 (c) x − y + z = 1 − x + y − z = − 1 2 x − 2 y + 2 z = 2 System (c) is dependent.
True or False? Explain. The following systems are referenced in statements 1–7: (a) x + y − z = 2 − x − y + z = 4 x − 2 y + 3 z = 9 (b) x + y − z = 6 x + y + z = 4 x − y − z = 8 (c) x − y + z = 1 − x + y − z = − 1 2 x − 2 y + 2 z = 2 System (c) is dependent.
Solution Summary: The author explains that a consistent system with infinitely many solutions is dependent. Since -x+y-z=-1 and 2x-2
The following systems are referenced in statements 1–7:
(a)
x
+
y
−
z
=
2
−
x
−
y
+
z
=
4
x
−
2
y
+
3
z
=
9
(b)
x
+
y
−
z
=
6
x
+
y
+
z
=
4
x
−
y
−
z
=
8
(c)
x
−
y
+
z
=
1
−
x
+
y
−
z
=
−
1
2
x
−
2
y
+
2
z
=
2
(z-
= (-2) (→
Use the FOIL Method to find (z —
· -
MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function $m$ represent the balance of your savings account after $t$ years. The table shows the total balance of the accounts over time. Year, $t$ Total balance 0 1 2 3 4 5 $2500 $2540 $2580.80 $2622.42 $2664.86 $2708.16 a. Write a function $B$ that represents the total balance after $t$ years. Round values to the nearest hundredth, if necessary. $B\left(t\right)=$ Question 2 b. Find $B\left(8\right)$ . About $ a Question 3 Interpret $B\left(8\right)$ . b represents the total balance checking and saving accounts after 8 years the balance would be 16 / 10000 Word Limit16 words written of 10000 allowed Question 4 c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. A = 11998.70 SINCE 9000 is the principal ( 1+0.036/12)12 times 8 gives me aproxtimately 1997 14 / 10000 Word Limit14 words written of 10000 allowed Skip to…
Listen
MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function m represent the balance of your savings account after t years. The table shows the total balance of the accounts over time.
Year, t Total
balance
0
$2500
1
$2540
2
$2580.80
3
$2622.42
4
$2664.86
5
$2708.16
a. Write a function B that represents the total balance after t years. Round values to the nearest hundredth, if necessary.
B(t) =
500 + 2000(1.02)*
b. Find B(8).
About $2843.32
Interpret B(8).
B I U
E T²
T₂
c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly.
B
I U E
E
T²
T₂
A = 11998.70 SINCE 9000 is the principal (1+0.036/12)12 times 8 gives me aproxtimately 1997
Chapter 5 Solutions
College Algebra Plus New Mymathlab With Pearson Etext Access Card
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.