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3 years ago

Simplify (27) 2/3 x (125) 1/3 step by step explanation plz

1 answer:

3 0

(27) 2/3 x (125) 1/3 <—Reduce 27 and 3 by finding the GCF which is 3

9 x 2 x 125 x 1/3 <—Again, reduce 9 and 3 by finding the GCF

3 x 2 x 125 <—Then multiply

=750

………
Hope this helps

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Southern California Publishing Company is trying to decide whether to revise its popular textbook, Financial Psychoanalysis Made

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Answer:

Present value of the cash inflow= $69,086.97

Explanation:

An annuity is a series of annual cash outflows or inflows which payable or receivable for a certain number of periods. If the annual cash flow is expected to increase by a certain percentage yearly, it is called a growing annuity.

To work out the the present value of a growing annuity, we use the formula:

PV = A/(r-g) × (1- (1+g/1+r)^n)

A- annual cash flow - 20,000

r- rate of return - 8%

g- growth rate - 3%

n- number of years- 4

I will break out the formula into two parts to make the workings very clear to follow. So applying this formula, we can work out the present value of the growing annuity (winnings) as follows.

A/(r-g) = 20,000/(0.08-0.03) = $400,000

(1- (1+g/1+r)^n) = 1 -(1.03/1.08)^4 =0.17271

PV = A/(r-g) × (1- (1+g/1+r)^n) =400,000 × 0.17271 =69,086.97

Present value of the cash inflow = $69,086.97

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3 years ago

Everdeen Inc. has a 90-day operating cycle. If its average age of inventory is 35 days, how long is its average collection perio

mart [117]

Answer:

8.6 days

Explanation:

The formula for average collection period

= Average received turnover ratio / 365 daya

= 90 × 35 / 365

= 8.6 days

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3 years ago

A University of Iowa basketball standout is offered a choice of contracts by the New York Liberty.

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Answer: The lowest interest rate at which the present value of the second contract exceeds that of the first is a. 7 percent.

Explanation:

Calculating present values is a useful way to compare cases where money is to be received in the future. The higher the present value (when comparing cases where you get money), the better. To calculate it, we make use of the next formula:

$PV=\frac{C}{(1+r)^{n}}$

Where PV: Present value,

C: Cash flow at a given period,

r: Interest rate, and

n: Number of periods that will have passed (in this case, we are talking about years).

Now, since we are getting money twice in each case (the first payment one year from today, and the final payment two years from today), we can restructure our present value formula to include these two payments. We will get something like this:

$PV=\frac{C_1}{1+r}+\frac{C_2}{(1+r)^{2}}$

Notice how each fraction represents one of the payments received, with one having an 'n' of 1 year, and the other one having an 'n' of 2 years. C₁ and C₂ represent the first and the second payment, respectively.

Now that we have our completed formula, let's review each contract's present value (PV) with the lowest interest rate (7%), just to see how it turns out. Remember that 7% equals 0.07 in any formula:

Contract A) This one gives her $100,000 one year from today and $100,000 two years from today.

$PV_{A,0.07}=\frac{100000}{1+0.07}+\frac{100000}{(1+0.07)^{2}}\\PV_{A,0.07}=93457.944+87343.873\\PV_{A,0.07}=180801.817dollars$

So Contract A's present value at 7% interest rate would be equal to $180801.817.

Contract B) The second one gives her $132,000 one year from today and $66,000 two years from today.

$PV_{B,0.07}=\frac{132000}{1+0.07}+\frac{66000}{(1+0.07)^{2}}\\PV_{B,0.07}=123364.486+57646.956\\PV_{B,0.07}=181011.442dollars$

So Contract B's present value at 7% interest rate would be equal to $181011.442, which exceeds that of Contract A.

Since among our options of interest rates, 7 percent is the lowest one, and, with this taken into account, the present value of the second contract (Contract B) exceeded that of the first (Contract A), the answer is a. 7 percent.

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3 years ago

Which statement below best captures the overall point and focus of the New York Times article, Document 3?

Artemon [7]

Answer:

Correct Answer:

C) The news story marks the historical event of the first black man being called up to play in the major leagues and expresses some concern over how Robinson will be treated by his major league peers.

Explanation:

Option C ıs the best statement which captures the overall point and focus of the given New York Times article, Document 3.

6 0

3 years ago

The assumption that is necessary for a linear programming model to be appropriate and that ensures that the value of the objecti

Elan Coil [88]

Answer:

A. Additivity

Explanation:

Additivity simply means that the values of an objective function and total resources used can be found by adding all the contributions made by the objective functions and the decision variables of all resources used. That is, it assumes that the overall of an objective function is found by adding the contribution of each objective function to the overall. In additivity, interaction between variables doesnt exist.

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3 years ago

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Simplify (27) 2/3 x (125) 1/3 step by step explanation plz​

Simplify (27) 2/3 x (125) 1/3 step by step explanation plz