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Lapatulllka [165]
3 years ago
15

You invest $22,000 in 3 funds, fund A, fund B and fund C. You invest twice as much in fund C as fund B. Annually, fund A yields

5%, fund B yields 8% and fund C yields 4%. The annual interest from funds A and B alone yielded $750. How much was invested in the fund A
Business
1 answer:
zimovet [89]3 years ago
7 0

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

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At a price of $1.00, a local coffee shop is willing to supply 100 cinnamon rolls per day. At a price of $1.20, the coffee shop w
Julli [10]

Answer:

2.2

Explanation:

The formula for calculating price elasticity using the midpoint method is:

midpoint method = {(Q2 - Q1) / [(Q2 + Q1) / 2]} / {(P2 - P1) / [(P2 + P1) / 2]}

midpoint method = {(150 - 100) / [(150 + 100) / 2]} / {(1.20 - 1) / [(1.20 + 1) / 2]}

midpoint method = [50 / (250 / 2)] / [0.20 / (2.20 / 2)] = (50 / 125) / (0.20 / 1.1)  

midpoint method = 0.4 / 0.19 = 2.2

The advantage of using the midpoint method to calculate price elasticity is that we can calculate the price elasticity between two points, and it doesn't matter if the price increases or decreases.

If we calculate price elasticity using the single point formula:

price elasticity = % change in quantity supplied / % change in price = 50% / 20% = 2.5

7 0
3 years ago
Goodell Corporation just paid its annual dividend of $1.75, today. Dividends for the Goodell Corporation are expected to increas
AlekseyPX

Answer:

current price of Goodell Corporation stock is $48.26

Explanation:

given data

annual dividend = $1.75

expected to increase 1 year = 27.5 percent

expected to increase 2 year = 13.8 percent

expected to increase per year = 5 percent

required rate of return = 10 percent

solution

we get here first dividend that is

D1 = 1.75 × (1.275) = 2.23    ...............1

D2 = 2.23 × (1.138) = 2.54    ...............2

D3 = 2.54 × (1.05) = 2.67      ...............3

and

year 2 price will be

P2 = D3 ÷ (R – g)    ...............4

P2 = 2.67 ÷ (0.10 - 0.05)

P2 = 53.4     ...............5

so current price will be

P = 2.23 ÷ (1.10) + 2.54 ÷ (1.10)2 + 53.40 ÷ (1.10)2

P = $48.26

4 0
3 years ago
From 2001 to 2004, the U.S. government went from a budget surplus to a budget deficit. According to the open-economy macroeconom
notsponge [240]

Answer: Option (a) is correct.

Explanation:

Correct Option: The supply of loanable funds but not the supply of dollars in the market for foreign-currency exchange.

If the budget deficit increases, then U.S residents will want to purchase fewer foreign assets and foreign residents wants to buy more of U.S assets.

The budget deficit in the economy has to be financed either by borrowing or by increasing taxes. This budget deficit occurred because of the tax cuts and higher government spending.

If a country running a budget deficit, which lead to reduction in national saving. We all know that interest rate is determined in the loan market, where savers supply the loans to the private borrowers.

So, if there is a fall in the national saving, this will reduced the supply of loans from savers, which raises the interest rate in an economy.

This will attract the foreign flow of capital. This means that demand for domestic assets increases because of the higher interest rate.

Now, if foreign residents want to take an advantage of higher interest rate then they first have to acquire domestic currency.

Therefore, higher interest increases the demand for domestic currency in a market of foreign exchange.

4 0
3 years ago
You own a portfolio that has a total value of $215,000 and it is invested in Stock D with a beta of .86 and Stock E with a beta
babunello [35]

Answer:  BP = BD(WD) + BE(WE)

                   1 = 0.86(1-WE) + 1.39WE

                   1 = 0.86-0.86WE + 1.39WE

                   1 = 0.86 + 0.53WE

                 -0.53WE = -0.14

                  0.53WE  = 0.14

                         WE   = 0.14/0.53

                         WE   = 0.2641509434

                         WD = 1 - WE

                         WD = 1 - 0.2641509434

                         WD = 0.7358490566

The dollar amount of investment in stock D = 0.7358490566 x $215,000

                                                                         = $158,207.54

Explanation: The beta of the portfolio is 1, which corresponds to the beta of the market. The beta of the portfolio equals beta of each stock multiplied by the percentage of fund invested in each stock(weight). The weight of stock D is equal to 1 - weight of stock E. Therefore, we need to make weight of stock E the subject of the formula by solving the problem mathematically and collecting the like terms. The weight of stock E is 0.2641509434. The weight of stock E will be subtracted from 1 so as to obtain the weight of stock D, which is 0.7358490566. The dollar amount of stock D equal to $215,000 multiplied by 0.7358490566, which is $158,207.54.

4 0
3 years ago
Compare and contrast the risks and goals of entrepreneurs and inventors.
suter [353]

The difference between an inventor and an entrepreneur is that, an inventor develops new services and goods but he does not have them to the market. An entrepreneur risks resources may it be human, capital or natural in order to bring to the market improved and new products.

The risk which is incurred between entrepreneur and inventor is that, entrepreneur undergoes huge financial risks because a lot of money is being invested while inventor has low financial risk since there is no big investment which is being required.


4 0
3 years ago
Read 2 more answers
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