Answer:
$7,000 was invested in Fund A
Explanation:
As per given Condition
A + B + C = $22,000 (1)
A5% + B8% = $750 (2)
As given
C = 2B
Placing C value in 1
A + B + 2B = $22,000
A +3B = $22,000 (3)
Multiplyin (2) by 20
A (0.05) x 20 + B (0.08) x 20 = $750 x 20
A + 1.6 B = $15,000 (4)
Subtracting (4) from (3)
A +3B - (A + 1.6 B ) = $22,000 - $15,000
A +3B - A - 1.6 B ) = $7,000
1.4 B = $7,000
B = $7,000 / 1.4
B = $5,000
As
C = 2B
C = 2 x $5000
C = $10,000
Placing value of B and C in (1)
A + $5000 + $10,000 = $22,000
A + $15,000 = $22,000
A = $22,000 - $15,000
A = $7,000
<u>CHECK</u>
A5% + B8% = $750
$7000 x 5% + $5,000 x 8% = $750
350 + $400 = $750
$750 = $750
An essential element of a formal email is a subject line.
Answer:
a. x3+x4<=1
Explanation:
We need a multiple choice constraint. Constraint x3+x4 <= 1 states that only one of the 2 options of landlord or contractor working on kitchen tiles can be used. (Assuming x3, x4 are binary variables)
Hence if x3 = 1, x4 is 0, and if x4=1, x3 becomes 0. Please note, there is no constraint in question specifying that kitchen tile has to be done. Hence, both x3 and x4 can be 0 depending on cost optimization, and x3+x4<=1 will still hold correct.
Answer:
Debit Cash for $1,050; Debit Cash over and short for $9; and Credit Sales for $1,059.
Explanation:
The journal entries will look as follows:
<u>Date Account Title Debit ($) Credit ($) </u>
Sept 1 Cash 1,050
Cash over and short (w.1) 9
Sales 1,059
<em><u> To record cash over and short for the day. </u></em>
Working:
w.1: Cash over and short = Cash recorded - Actual cash collected = $1,059 - $1,050 = $9
