All categories

3 years ago

Factorize the following algebraic expressions.m²-64n⁴

Business

1 answer:

qaws [65]3 years ago

5 0

Answer:

Factorization of the expression = [m - 8n²][m + 8n²]

Explanation:

Given expression;

m²- 64n⁴

Find:

Factorization of the expression

Computation:

m²- 64n⁴

m²- [(8n²)]²

Using formula;

a² - b² = (a + b)(a - b)

By putting value in above formula;

So,

Factorization of the expression = m²- [(8n²)]²

Factorization of the expression = (m)²- [(8n²)]²

Factorization of the expression = [m - 8n²][m + 8n²]

You might be interested in

The records of Lohse Stores included the following data:

Orlov [11]

Answer:

$9,360

Explanation:

Cost Retail Ratio

Inventory, May 1 $10,440 $14,500 .72

Purchases 31,550 42,900

Freight-in 2,000

Purchase discounts (250)

Net markups 3,400

Net markdowns (1,300)

Totals excluding

beginning inventory 33,300 45,000 .74

Goods available $43,740 59,500

Sales (46,500)

Inventory, May 31 $13,000

Estimated inventory,

May 31 ($13,000 × .72) $ 9,360

8 0

4 years ago

An investor is contemplating the purchase of a 20-year bond that pays $50 interest every six months. the investor plans to hold

irinina [24]

Answer: The investor should be willing to pay <u>$927.68 </u>for the bond today.

We in need to compute the price at which the investor can sell the bond in year 10 (Y10).

The price of the bond in year 10 will be the present value of the coupons over the remaining life of the bond and the maturity value of the bond after 20 years.

We have

Coupon Value (C ) $50.00

No. of coupons remaining (n) 20

Expected YTM in year 10 0.08

Expected semi annual YTM in year 10 $\frac{0.08}{2} =0.04$

Face (Maturity) Value of the bond (MV) $1,000.00

The bond price in year 10 will be

$\mathbf{Bond Price_{Y10}=C*\left ( \frac{1-(1+r)^{-n}}{r}\right )+\frac{MV}{(1+r)^{n}}}$

Substituting the values we get,

$Bond Price_{Y10}=50*\left ( \frac{1-(1+0.04)^{-20}}{0.04}\right )+\frac{1000}{(1+0.04)^{20}}$

$Bond Price_{Y10}=50*\left (13.59\right )+\frac{1000}{2.19}$

$\mathbf{Bond Price_{Y10}= 679.52+ 456.39 = 1,135.90}$

<u>Hence the investor can expect to sell the bond in year 10 at $1,135.90.</u>

Now, we'll calculate the price the investor is willing to pay for the bond. The investor can expected to pay the Present Value of the coupons she'll receive over 10 years and the selling price of the bond 10 years from now. We discount the cash flows at the rate of return the investor expects.

We have

Coupon Value (C ) $50.00

No. of coupons remaining (n) 20

Expected rate of return 0.12

Expected semi annual rate of return $\frac{0.12}{2} =0.06$

Selling Price of the bond (SP) $1,135.90

$\mathbf{Bond Price=C*\left ( \frac{1-(1+r)^{-n}}{r}\right )+\frac{SP}{(1+r)^{n}}}$

Substituting the values we get,

$Bond Price=50*\left ( \frac{1-(1+0.06)^{-20}}{0.06}\right )+\frac{1000}{(1+0.06)^{20}}$

$Bond Price=50*\left (11.47\right )+\frac{1000}{3.21}$

$\mathbf{Bond Price= 573.50+ 354.18 = 927.80}$

4 0

3 years ago

Hi guys, i need urgently some help with this question

klasskru [66]

Answer:

Accounting rate of return, also known as the Average rate of return, or ARR is a financial ratio used in capital budgeting. The ratio does not take into account the concept of time value of money. ARR calculates the return, generated from net income of the proposed capital investment. The ARR is a percentage return. Say, if ARR = 7%, then it means that the project is expected to earn seven cents out of each dollar invested (yearly). If the ARR is equal to or greater than the required rate of return, the project is acceptable. If it is less than the desired rate, it should be rejected. When comparing investments, the higher the ARR, the more attractive the investment. More than half of large firms calculate ARR when appraising projects.

Explanation:

hope this helps

4 0

2 years ago

In the value chain, what is the term of the activities that are required but not directly add value to the company's products or

Darya [45]

Answer:

In the value chain analysis, the term of the activities that are required but not directly add value to the company's products or services sold to the customers is:

Support or Secondary Activities.

Explanation:

Support or secondary activities are the indirect services that improve the primary activities of the value chain. The secondary or support activities include procurement of input resources, human resources management, infrastructure (accounting, legal, and administrative), and research and development (technology). These support the primary value chain activities, according to Porter's Value Chain, including In-bound logistics, Operations, Outbound logistics, Marketing and Sales, and Customer Services.

6 0

3 years ago

Jam Company had P5,000,000 note payable that is due on March 1, 2014. The entity borrowed P3,500,000 on February 1, 2014 which h

maria [59]

The amount of Jam's Note Payable that should be classified as non-current on December 31, 2013 is P0.

The non-current liability is the payable that is not due within the next 12 months.

Since the P5,000,000 note is due within 2014 (precisely on March 1, 2014), on Jam Company's Balance Sheet as of December 31, 2013, the total amount will be classified as a current liability and not non-current.

Thus, the amount of Jam's note payable classified as non-current on December 31, 2013 is equal to zero.

Learn more: brainly.com/question/14921529

3 0

3 years ago

Factorize the following algebraic expressions.m²-64n⁴​

Factorize the following algebraic expressions.m²-64n⁴