-
Tia deposited x dollars in a bank account that paid 4% interest. She also deposited y dollars in a bank account that paid 8% interest. The system below represents one year's interest on Tia's deposits.
{
0.04
x
+
0.08
y
=
240
0.04
x
=
0.08
y
left brace . table with 2 rows and 2 columns , row1 column 1 , 0.04 , x plus , 0.08 , y , column 2 equals 240 , row2 column 1 , 0.04 , x , column 2 equals , 0.08 , y , end table
Based on the solution of the system of equations, which of the following can you conclude?
- Tia deposited $3000 in each account, and the amounts of interest earned were $240 and $120.
- Tia deposited $3000 in each account, and the amount of interest earned in each account was $120.
- The deposit amounts were $3000 and $1500, and the amounts of interest earned in each account were $240 and $120.
- The deposit amounts were $3000 and $1500, and the amount of interest earned in each account was $120.
-
The total area of the parallelogram below is
4
x
4
+
3
x
3
−
14
x
2
+
33
x
−
35
.
4 x to the fourth , plus , 3 x cubed , minus , 14 x squared , plus 33 x minus 35 . Which of the following expressions best represents the length of the base of the parallelogram? (Hint:
A
=
b
h
eh equals b h )
-
x
3
+
2
x
2
−
x
+
7
x cubed , plus 2 , x squared , minus x plus 7
-
x
3
−
2
x
2
+
x
−
7
x cubed , minus , 2 x squared , plus x minus 7
-
4
x
4
+
3
x
3
−
14
x
2
+
33
x
−
7
4 x to the fourth , plus 3 , x cubed , minus , 14 x squared , plus 33 x minus 7
-
x
3
+
5
x
2
−
x
+
5
x cubed , plus 5 , x squared , minus x plus 5
- Which point corresponds to a zero of the function
f
(
x
)
=
x
2
+
2
x
−
15
?
f open x close equals , x squared , plus 2 x minus 15 question mark
-
(
0
,
−
15
)
open 0 comma negative 15 close
-
(
5
,
0
)
open 5 comma 0 close
-
(
−
5
,
0
)
open negative 5 comma 0 close
-
(
−
3
,
0
)
open negative 3 comma 0 close
-
Solve the equation
x
2
+
3
w
=
P
x squared , plus 3 w equals p for x.
-
x
=
P
−
3
w
x equals p minus 3 w
-
x
=
±
P
3
w
x equals plus minus , square root of fraction p , over 3 w end fraction end root
-
x
=
±
P
−
3
w
x equals plus minus . square root of p minus 3 w end root
-
x
=
±
P
+
3
w
x equals plus minus . square root of p plus 3 w end root
-
A bridge supported by a parabolic arch spans a stream of water 180 feet wide. There must be a clearance of at least 40 feet over a 100-foot channel in the middle of the stream. The origin is placed at water level directly below the center of the arch. Which equation best represents the situation?
-
y
=
140
(
x
+
180
)
(
x
−
180
)
y equals 140 open x plus 180 close open x minus 180 close
-
y
=
−
1
140
(
x
+
90
)
(
x
−
90
)
y equals negative , 1 over 140 . open , x plus 90 , close . open , x minus 90 , close
-
y
=
−
1
140
(
x
+
40
)
(
x
−
40
)
y equals negative , 1 over 140 . open , x plus 40 , close . open , x minus 40 , close
-
y
=
140
(
x
+
40
)
(
x
−
40
)
y equals 140 open x plus 40 close open x minus 40 close
-
Sofia has $25 in her savings account. She plans to deposit between $5 and $10 each week into her account. On the graph, line m represents a deposit of exactly $5 per week and line n represents a deposit of exactly $10 per week.
Image Long Description
If Sofia deposits between $5 and $10 per week, which region on the graph represents all possible balances in her account?
- A
- B
- C
- A and C combined