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Kruka [31]
3 years ago
13

$17,200 is invested, part at 6% and the rest at 2%. If the interest earned from the amount invested at 6% exceeds the interest e

arned from the amount invested at 2% by $441.00, how much is invested at each rate? (Round to two decimal places if necessary.)
Business
1 answer:
dezoksy [38]3 years ago
4 0

Solution:

Let x = amount invested at 6% and

let y = amount invested at 2%.

We can set up some equations that describe x and y:

 

"$17,200 is invested total" means

x + y = $17,200

 "The interest earned from the amount invested at 6% exceeds the interest earned from the amount invested at 2% by $441.00" means

0.06x = 0.02y + $441.00

 

Solve for x in the first equation to get x = 17,200 - y, then plug that into the second equation and solve for y:

 

0.05(17,200 - y) = 0.02y + 441.00

860 - 0.06y = 0.02y + 865.35

5.35 - 0.09y = 0.02y

154.80 = 0.11 y

1407 = y

 

So, $1407 was invested at 2%. Plug y = 1407 into the first equation and solve for x:

 

x + 1407 = 17,200

x = 15,793

 

So, $15,793 was invested at 6%.

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Answer:

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6 0
3 years ago
Calculate the present value of the after tax net returns to land in the 7th year if thereal pre-tax net returns to land today ar
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Answer:

PV(after-tax net return in 7th year) = 70.55 (Approx)

Explanation:

Given:

Number of year = 7

Pre-tax net returns (Fn) = $100

Growth rate = 4% = 0.04

Inflation = 3% = 0.03

Marginal tax rate = 30% = 0.3

Discount rate = 10% = 0.1

Computation:

Fn = Fo(1+g)ⁿ = 100(1.04)⁷

Fn = 131.6

Nominal net returns = 131.6(1.03)⁷

Nominal net returns = 161.85

After tax return = 161.85  (1 - 0.3)

After tax return = 113.30

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PV(after-tax net return in 7th year) = 70.55 (Approx)

8 0
3 years ago
Janes, Inc., is considering the purchase of a machine that would cost $410,000 and would last for 5 years, at the end of which,
ki77a [65]

Answer:

- $33,678.21

Explanation:

Cash flow Summary of the Project will be as follows

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Year 2 = $101,000

Year 3 = $101,000

Year 4 = $101,000

Year 5 = $101,000 + $41,000 + 3,000 =  $145,000

So the Net Present Value can now be calculated using the CFj function of a Financial calculator as follows :

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Answer and Explanation:

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Answer:

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