Answer:
The new account balance is $40000
Step-by-step explanation:
<em>The number line is not given. However, the question can be solved without it.</em>
Given


Required
Determine the new balance



Hence:
<em>The new account balance is $40000</em>
−
2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.
−
2
3
(
x
+
3
5
)
=
1
2
(
−
2
3
)
(
x
)
+
(
−
2
3
)
(
3
5
)
=
1
2
(Distribute)
−
2
3
x
+
−
2
5
=
1
2
Step 2: Add 2/5 to both sides.
−
2
3
x
+
−
2
5
+
2
5
=
1
2
+
2
5
−
2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3
−
2
)
*
(
−
2
3
x
)
=
(
3
−
2
)
*
(
9
10
)
x
=
−
27
20
Answer:
x
=
−
27
20
The polynomial is the expansion of (x-3)(x-1)(x+4)²
Answer:
11 1/12
Step-by-step explanation:
6 1/3 = 19/3
7 1/4 = 29/4
2 1/2 = 5/2
19/3 + 29/4 - 5/2
We must find the LCM of 3, 4, and 2. This happens to be 12
3*4 = 12
4*3 = 12
2*6 = 12
Multiply each fraction by the factor that'll get it to 12.
19/3 * 4/4 = 76/12
29/4 * 3/3 = 87/12
5/2 * 6/6 = 30/12
Now go through the problem
76/12 + 87/12 - 30/12
76 + 87 = 163
163/12 - 30/12
163 - 30 = 133
133/12
Simplify
133/12 = 11.0833... or 11 1/12
Hope this helps.