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charle [14.2K]
3 years ago
6

A man has $34,000 to invest. He invests some of the money at 5% and the balance at 4%. His total annual interest income is $1545

. Find the amount invested at each rate
Business
1 answer:
notka56 [123]3 years ago
7 0

Answer:

Amount invested @ 5% = $18,500

Amount invested @ 4% = $34,000 - $18,500 = $15,500

Explanation:

Provided we have the following details,

Total investment = $34,000

Let amount invested @ 5% = x

Then, amount invested at 4% = $34,000 - x

Thus, (x \times 0.05) + (($34,000 - x) \times 0.04) = $1,545

0.05x + $1,360 - 0.04x = $1,545

0.01x = $1,545 - $1,360 = $185

x = $185/0.01 = $18,500

Thus, amount invested @ 5% = $18,500

Amount invested @ 4% = $34,000 - $18,500 = $15,500

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It’s A.little capital
8 0
2 years ago
Walters manufactures a specialty food product that can currently be sold for $21.20 per unit and has 19,200 units on hand. Alter
sdas [7]

Answer:

$37,760

Explanation:

The income for the current operation, without further processing, is given by:

I_1 = 19,200*\$21.20\\I_1=\$407,040

If the product is further processed at a cost of $11,200, the company would sell 11,200 units at $31,80 each and 5,200 at $19.20 each, for an income of:

I_2= 11,200*\$31.80+5,200*\$19.20-\$11,200\\I_2=\$444,800

Therefore, the incremental net income of processing further would be:

\Delta I=I_2-I_1=\$444,800-\$407,040\\\Delta I=\$37,760

The incremental net income would be $37,760.

5 0
3 years ago
An investment offers $5,900 per year for 15 years, with the first payment occurring one year from now. If the required return is
drek231 [11]

Answer:

Today, the investment is worth $31,997.29

Explanation:

Giving the following information:

An investment offers $5,900 per year for 15 years, with the first payment occurring one year from now. The required return is 6 percent

First, we need to calculate the final value, using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual pay= 5,900

n= 15

i= 0.06

FV= {5,900*[(1.06^15)-1]} / 0.06= $137,328.22

Now, we can determine the present value:

PV= FV/ (1+i)^n

PV= 137,328.22/ 1.06^25= $31,997.29

4 0
3 years ago
At the high and low levels of activity during the month, direct labor hours are 90,000 and 40,000, respectively. The related cos
andre [41]

Answer:

The fixed cost at any level of activity is $48,000 while the variable cost per unit at any level of activity is $1.30

Explanation:

The total cost is a function of the fixed and variable cost. Whilst the fixed cost does not change at a certain range of activities level, the variable cost changes as the level of activities(units produced or sold).

Using the high and low levels of activities given, let the variable cost per unit be v and the fixed cost F

for the high level,

F + 90,000v = 165,000

For the low level

F + 40,000v = 100,00

Solving both equations simultaneously,

50,000v = 65,000

v = $1.30

F + 40,000($1.30) = 100,000

F = 100,000 - 52,000

F = $48,000

5 0
3 years ago
Valutech Manufacturing uses job order costing for its production of MP3 players. The cost incurred for the current year for the
lyudmila [28]

Answer:

$65 per unit

Explanation:

For computing the cost per unit first we have to determine the cost of goods manufactured which is shown below:

Cost of goods manufactured = Opening work in process + direct material cost + direct labor cost + manufacturing overhead cost - ending work in process

= $10,000 + $12,000 + $6,000 + $4,000 - $6,000

= $26,000

And, there is a production of 400 MP3 players

So, the cost per unit is

= $26,000 ÷ 400 MP3 players

= $65 per unit

8 0
3 years ago
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