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2 years ago

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$100 compounded annually for two years at 3% interest would provide the investor with how much of a return?

1 answer:

Rom4ik [11]2 years ago

5 0

I think the answer is B

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Select the correct answer from each drop-down menu,

Alik [6]

Answer:

C) property

A) direct tax

Explanation:

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2 years ago

Argo, a firm organizing adventure travel, has returns that vary with the economy. Argo predicts that there is a 20% probability

nexus9112 [7]

Answer: 8%

Explanation:

The expected return is a weighted average of the returns given the probability of certain states of the economy:

= (Prob. of boom * return if boom) + (Prob. of normal * return if normal) + (Prob. of weak * return if weak)

= (20% * 35%) + (50% * 14%) + (30% * -20%)

= 0.07 + 0.07 - 0.06

= 8%

5 0

2 years ago

If the reserve ratio is 15 percent, and banks do not hold excess reserves, and people hold only deposits and no currency, then w

11111nata11111 [884]

Answer:

The money supply decreases by $25.5 million and money supply decreases by $170 million.

Explanation:

The reserve ratio is 15%.

The reserve sells bonds worth $25.5 million to the public.

This will cause a reduction of $25.5 million reserves as banks will need to pay Fed for the bonds.

The money supply will change by

= $\frac{1}{reserve\ ratio} \times\ change\ in\ reserves$

= $\frac{1}{0.15}\ \times\ -\$ 25.5\ million$

= $6.67\ \times\ -\$ 25.5\ million$

= - $170 milion

So, the money supply will decrease by $170 million.

3 0

2 years ago

Which diagram arranges the types of business organizations from the most complicated to start to the least complicated to start?

skelet666 [1.2K]

Answer:

C. Corporation- partnership - Sole Proprietorship

Explanation:

6 0

2 years ago

Read 2 more answers

A rectangular storage container with an open top is to have a volume of 10 m^3. The length of its base is twice the width. Mater

DiKsa [7]

Answer:

The dimension that minimizes the container is width = 1; base = 2 and height = 5

The minimum cost is $36

Explanation:

Let the width be x

So:

$Width = x$

$Base = 2 * Width$

$Base = 2 * x$

$Base = 2x$

$Height = h$

Volume of the box is:

$Volume = 10m^3$ ---- Given

Volume is calculated as:

$Volume = Base * Width * Height$

$Volume = 2x * x * h$

$Volume = 2x^2h$

Substitute 10 for Volume

$10 = 2x^2h$

Make h the subject

$h = \frac{10}{2x^2}$

$h = \frac{5}{x^2}$

Next, we calculate area of the sides.

$Area = Base + Sides$

Because it has an open top, the area is:

$Base\ Area = Base * Width$

$Sides\ Area = 2[(Width * Height) + (Base * Height)]$

$Base\ Area = 2x * x$

$Base\ Area = 2x^2$

$Sides\ Area = 2[(Width * Height) + (Base * Height)]$

$Side\ Area = 2[(x * h) + (2x * h)]$

$Side\ Area = 2[(xh) + (2xh)]$

$Side\ Area = 2[3xh]$

$Side\ Area = 6xh$

The base area costs $6 per m²

So, the cost of 2x² would be:

$Cost = 6 * 2x^2$

$Cost = 12x^2$

The side cost area costs $0.8 per m²

So, 6xh would cost

$Cost = 0.8 * 6xh$

$Cost = 4.8xh$

Total Cost (C) is:

$C = 12x^2 + 4.8xh$

Recall that $h = \frac{5}{x^2}$

So:

$C = 12x^2 + 4.8x *\frac{5}{x^2}$

$C = 12x^2 + 4.8 *\frac{5}{x}$

$C = 12x^2 + \frac{4.8 *5}{x}$

$C = 12x^2 + \frac{24}{x}$

Take derivative of C

$C^{-1} = 24x - \frac{24}{x^2}$

Take LCM

$C^{-1} = \frac{24x^3 - 24}{x^2}$

Equate $C^{-1}$ to 0

$0 = \frac{24x^3 - 24}{x^2}$

Cross multiply

$24x^3 - 24 = 0 * x^2$

$24x^3 - 24 = 0$

Add 24 to both sides

$24x^3 = 24$

Divide through by 24

$x^3 = 1$

Take cube roots of both sides

$x = 1$

Recall that

$Width = x$

$Base = 2x$

$Height = h$ and $h = \frac{5}{x^2}$

Solve for these dimensions:

$Width = 1$

$Base = 2 * 1$

$Base = 2$

$h = \frac{5}{1^2}$

$h = \frac{5}{1}$

$h = 5$

i.e.

$Height = 5$

<em>Hence, the dimension that minimizes the container is width = 1; base = 2 and height = 5</em>

<em></em>

Recall that

$C = 12x^2 + \frac{24}{x}$

Substitute 1 for x

$C = 12(1^2) + \frac{24}{1}$

$C = 12 + 24$

$C = 36$

<em>The minimum cost is $36</em>

8 0

3 years ago