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Citrus2011 [14]
3 years ago
12

Katie invested a total of ​$4000​, part at 2​% simple interest and part at 3​% simple interest. At the end of 1​ year, the inves

tments had earned ​$95 interest. How much was invested at each​ rate?
Business
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

$2,500; $1,500

Explanation:

Given that,

Total amount invested = $4,000

Let the amount invested at 2% be x,

and the amount invested at 3% be (4,000 - x)

Interest earned = $95

Time period = 1 year

Simple interest = Principle × Interest rate × Time period

$95 = (x × 0.02 × 1) + [(4,000 - x) × 0.03 × 1)

$95 = 0.02x + 120 - 0.03x

$95 = -0.01x + 120

0.01x = 120 - 95

0.01x = 25

x = 2,500

Therefore,

Amount invested at 2% = x = $2,500

Amount invested at 3% = (4,000 - x)

                                       = 4,000 - 2,500

                                       = $1,500

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Type the correct answer in the box. Spell all words correctly.
zubka84 [21]

Answer:

motivated to take action at the product purchase stage of advertising.

Explanation:

6 0
2 years ago
The Riteway Ad Agency provides cars for its sales staff. In the past, the company has always purchased its cars from a dealer an
Oksana_A [137]

Answer:

NPV = -$149,319.44

Explanation:

Ten cars will be needed, which can be purchased at a discounted price of $18,000 each. If this alternative is accepted, the following costs will be incurred on the fleet as a whole:

  • Annual cost of servicing, taxes and licensing    $5,100
  • Repairs, first year                                                $3,000
  • Repairs, second year                                        $5,500
  • Repairs, third year                                                $7,500

the required rate of return or discount rate for Riteway is 20%.

Cash flows:

CF₀ = -$180,000

CF₁ = -($5,100 +$3,000) = -$8,100

CF₂ = -($5,100 + $5,500) = -$10,600

CF₃ = ($9,000 X 10) - ($5,100 + $7,500) = $90,000 - $12,600 = $77,400

using an excel spreadsheet, we can calculate the NPV with r = 20%

NPV = -$180,000 + $30,680.56 = -$149,319.44

8 0
3 years ago
Larry Gaines, a single taxpayer, age 42, sells his personal residence on November 12, 2019, for $151,200. He lived in the house
damaskus [11]

Answer:

1. Recognized gain = $54300

2. Realized gain = $45228

3. Adjusted basis of new asset = $150,000

Explanation:

The adjusted basis is the net cost of an asset after it has had depreciation deductions and/or capital expenditure increments. In other words, its actual worth at that particular point in time.

The amount realized is the fair market value and the sum of any money received at the sale of an asset.

1. A recognized gain or loss is the difference between the amount realized from the sale of the asset and the asset's adjusted basis on the time of its sale. A positive figure proves to be a gain and a negative figure proves to be a loss. In other words, when an asset is sold for a price higher than what it is actually worth at the time of sale, it is a recognized gain whilst if it is sold for a price lower than what its net cost is, it is a recognized loss.

In the current scenario:

The amount realized from the sale of the asset is $151,200.

Adjusted basis = Cost basis + capital improvements

Hence, $86,750 + $10,150 = $96900

Recognized gain/loss = $151,200 - $96900 = $54300

Due to the fact that it is a positive figure, i.e. amount realized at sale of asset is higher than the adjusted basis, it is a recognized gain.

2. A realized gain is the amount of <em>actual money</em> earned at sale. It does not simply look at the income from sale, but also takes into account any expenses that were present at the time of sale and deducts these.

In this case, there was an expense of the sale of $9072.

Hence, amount realized from sale of asset is $151200 - $9072 = $142128

Realized gain = $142128 - $96900 = $45228

3. Adjusted basis of new residence

The new residence has not had any capital increments. Hence, the adjusted basis is the same as the cost i.e. $150,000.

3 0
3 years ago
A manager checked production records and found that a worker produced 160 units while working 40 hours. In the previous week, th
alukav5142 [94]

Answer:

A. 4; 3.83 units per hour

B. Increases by 4.44%.

Explanation:

Given that,

Current period:

Output = 160 units

Input = 40 hours

Previous period:

Output = 138 units

Input = 36 hours

A. Current period productivity:

= Current period output ÷ Current period input

= 160 units ÷ 40 hours

= 4 units per hour

Previous period productivity:

= Previous period output ÷ Previous period input

= 138 units ÷ 36 hours

= 3.83 units per hour

B. Percentage change in worker's productivity:

= [(change in productivity) ÷ Previous period productivity] × 100

= [(4 - 3.83) ÷ 3.83] × 100

= (0.17 ÷ 3.83) × 100

= 0.0444 × 100

= 4.44%

Therefore, the worker's productivity increases by 4.44%.

3 0
3 years ago
Gekko, Inc. reported the following balances (after adjustment) at the end of 2008 and 2007.
nevsk [136]

Answer:

Correct answer is D, P3,900

Explanation:

Begging Allowance for doubtful account is P1,500 (96,000 - 94,500). Ending balance of Allowance for doubtful account is P3,000 (P108,000 -P105,000). We can now work back the provision for doubtful accounts that the company has made during 2008.

Beginning P1,500

Add:

Collection of written off accounts 800

Total P2,300

Less:

Written off 3,200

Total (P900)

Therefore, in order for the company to have an ending inventory of P3,000, They must have set up a provision for doubtful accounts in the amount of P3,900. Attached herewith is the T-account of allowance for doubtful accounts

6 0
3 years ago
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