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maria [59]
3 years ago
9

Check out this cube: The figure presents a cube. The length of one edge is labeled as 4 units The figure presents a cube. The le

ngth of one edge is labeled as 4 units Find the surface area of the cube (above) using its net (below). The figure presents a surface net of a cube. The net consists of 4 squares connected in a row. The second square from the left is also connected to a square above it, and a square below it. The length of one side of one square is labeled as 4 units.
Business
1 answer:
Olenka [21]3 years ago
4 0

Answer:

The surface area of the cube is 96 squared unit.

Explanation:

The surface area of a cube is the addition of the area of each surfaces. The surface net of the cube illustrates that it has 6 squares of 4 unit length each.

So that,

 Area of a square = length × width

But, length = width

⇒ Area of a square  = (length)^{2}

                              = (4)^{2}

                              = 16

Area of one of the squares of the cube is 16 squared unit.

Surface area of the cube = number of squares × Area of one of the squares of the cube

                                          = 6 ×16

                                          = 96 squared unit

The surface area of the cube is 96 squared unit.

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Regina Henry deposited $20,000 in a money market certificates that provides interest of 10% compound and quarterly if the amount
Andrews [41]

Answer:

Regina: Final amount=$62,769

Will Smith: Present value:  $213,216

Explanation:

Regina:

Compound quarterly means that each quarter of the year ( every three months) she will receive a 10% interest rate of her deposit. To convert this periodic rate to an annual rate( because the problem ask you about years) you use this formula :

Annual rate= ((1+Periodic rate)^(# periods))-1

In this case the number of periods means the number of quarters a year have, which is 4

Annual rate= ((1+10%)^(4))-1= 46.41%

To find the final amount Regina has after 3 year we use this formula:

Final Capital (FC)= Initial Capital (IC)*[(1+interest(i))]^(number of periods(n))

FC= $20,000*[(1+46.41%)^3]

FC=$62,769 I attached an excel figure which shows a more detailed data.

Will Smith

Semiannually means that every 6 months Will Smith will receive a 12% interest rate of the initial investment. To convert this periodic rate to an annual rate you use the same above formula:

Annual rate= ((1+Periodic rate)^(# periods))-1

In each year Will will receive twice the interest rate over the initial investment

Annual rate = ((1+12%)^(2))-1

Annual rate= 25.44%

The present value of $80,000 from now to 5 years is calculated using the formula attached, but I used Excel. First you have to copy all the cash flows of the 5 years. Then, you set the interest rate that in this case is the one that you found above( 25.44%). Finally you use the financial formula "NPV" in this way:

"=NPV(25.44%;C4:C8)" I used C4:C8 because in those excel cells i copied the cash flows.

I got that the present value of this amount is $213,216

5 0
3 years ago
"You plan on saving money for retirement in 30 years (t=30) at which time, you wish to have saved $1,000,000. In order to do thi
MissTica

Answer:

<u>X= $15,692.9393</u>

Explanation:

Giving the following information:

Number of years= 30

Final value= 1,000,000

First, deposit $10000 for ten years (last deposit at t=10).

After ten years, you deposit X for 20 years until t=30.

i= 6%

First, we need to calculate the final value in t=10. We are going to use the following formula:

FV= {A*[(1+i)^t-1]}/i

FV= {10000*[(1.06^10)-1]}/0.06= $131807.9494

We can calculate the amount of money to input every year. We need to isolate A:

A= (FV*i)/[(1+i)^n-1]

First, we need to calculate the final value of the $131807.9494

FV= PV*[(1+i)^n]

FV= 131807.9494*1.06)^20= 422725.95

We need (1000000-4227725.95) $577274.05 to reache $1000000

A= (FV*i)/[(1+i)^n-1]

A= (577274.05*0.06)/[(1.06^20)-1]= 15692.9393

<u>X= $15,692.9393</u>

6 0
3 years ago
Cullumber Corporation purchased 37000 shares of common stock of the Sherman Corporation for $52 per share on January 2, 2020. Sh
yawa3891 [41]

Answer:

Revenue from investment = 229,400

Explanation:

Given:

Purchased shares = 37,000

Value per share = $52

Sherman Corporation total shares = 100,000

Cash dividends = $162000

Net income = $620000

Find:

Revenue from investment = ?

Computation:

Revenue from investment = Net income (Purchased shares / Sherman Corporation total shares)

Revenue from investment = $620000 (37,000 / 100,000)

Revenue from investment = 229,400

7 0
3 years ago
Morgan Clinical Practice is considering an investment in new imaging equipment that will cost $400,000. The equipment is expecte
Ainat [17]

Answer:

$33,091.95

Explanation:

The net present value is the present value of after tax cash flows from an investment less the amount invested.

NPV can be found using a financial calculator:

Cash flow in year 0 = $400,000

Cash flow each year from year 1 to 5 =$80,000

Cash flow in year 6 = $80,000 + $150,000 = $230,000

I = 10%

NPV = $33,091.95

To find the NPV using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute

I hope my answer helps you

8 0
3 years ago
Your neighbor Bob has two annuities. The first annuity will pay him $10,000 per month for the next 10 years. The second annuity
german

Answer:

$1,643,344.308

Explanation:

These are Ordinary annuities because if it is not mentioned that the payments are made at the <em>beginning </em>of the year which is the case for Annuity Due.

You can use a financial calculator to find the Present value of these two ordinary annuities.

<u> PV of Annuity 1 from (yr1-yr10)</u>

Recurring payment; PMT = 10,000

Total duration ; N = 10 *12 = 120 months

Monthly interest rate in this case ; I/Y = 6%/12 = 0.50%

Future value ; FV = 0 (use 0 if annuity variable is not given )

then CPT PV= $900,734.533

<u>PV of Annuity 1 from (yr11-yr20)</u>

This will happen in 2 steps sice it is a forward-starting annuity;

Recurring payment; PMT = 15,000

Total duration ; N = 10 *12 = 120 months

Monthly interest rate in this case ; I/Y = 6%/12 = 0.50%

Future value ; FV = 0 (use 0 if annuity variable is not given )

then CPT PV( at t=10)= $1,351,101.80

Next find the PV of $1,351,101.80  at t=0;

$1,351,101.80 /(1.005^120) = $742,609.7754

Next, find the sum of these two PVs to find the answer;

=$900,734.533 + $742,609.7754

PV = $1,643,344.308

6 0
3 years ago
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