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3 years ago

The quadratic function f(x)=2x^2-24x+c has two zeros that differ by 18. Find the value of c.

1 answer:

7 0

For this case we have the following function:
f (x) = 2x ^ 2-24x + c
We set zero to find the roots of the function.
  We have then:
  2x ^ 2-24x + c = 0
  x ^ 2-12x + c / 2 = 0
  Factoring we have:
  (x - / + x1) (x - / + x2) = 0
  On the other hand we have:
  x2-x1 = 18
  x2 + x1 = -12
  Solving the system we have:
  x1 = -15
  x2 = 3
  Substituting we have:
  (x-15) (x + 3) = 0
  Rewriting:
  x ^ 2 -12x - 45 = 0
Therefore, the value of c is given by:
  c / 2 = -45
  c = -90
  Answer:
  the value of c is:
c = -90

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A corporate bond with a 6% coupon (paid semiannually) has a yield to maturity of 7.5%. The bond matures in 20 years but is calla

Zina [86]

Answer:

Yield to Call = 8.66%

Explanation:

The computation of the yield to call is shown below:

First determine Current Price of Bond,

PV = [FV = 1,000, PMT = 30, N = 40, I = 0.075 ÷2]

PV = $845.87

Callable Price = $1,050

Now

Calculating Yield to Call,

I = [PV = -845.87, FV = 1,050, N = 20, PMT = 30]

I = 8.66%

Yield to Call = 8.66%

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3 years ago

What is the simplified base for the function f(x) = 2(3/272x)?

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The answer to this is C

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3 years ago

The Rodriquez family is determined to purchase a $250,000 home without incurring any debt. The family plans to save $2,500 a qua

dexar [7]

Answer:

70years

Explanation:

The future value formula for compound interest, after n interest period is

$F=P(1+i)^n$

where i is the interest rate per period in decimal form and P is the principal or present value.

The Rodriquez family is determined to purchase a $250,000 home so

F=$ 250,000

The family plans to save $2,500 a quarter for this purpose and expects to earn 6.65 percent.

This implies that:

$i = \frac{0.0665}{4} = 0.0016625$

For t years, the number of compounding periods will be;

$n = 4t$

We fixed the values into the formula and solve for t.

$250000=2500(1+0.0066125)^ {4t}$

$\frac{250000}{2500} =(1.0066125)^ {4t}$

$100=(1.0066125)^ {4t}$

$100=(1.0682)^ {t}$

$t = log_{1.0682}(100)$

$t = 69.8$

It will take approximately 70years

3 0

2 years ago

Bens Corporation has three service departments (Repairs, HR, and IT) and two production departments (M1 and M2). The following u

DochEvi [55]

Answer:

Bens Corporation

Allocation of Service Departments' Direct Costs:

Repairs HR IT M1 M2 Total

Direct costs $36,000 $55,600 $81,000 $172,600

Step allocation:

HR direct costs 5,560 -55,600 11,120 19,460 19,460 0

IT costs 0 0 -92,120 20,471 71,649 0

Repairs costs -41,560 0 0 16,624 24,936 0

Total costs allocated 0 0 0 $56,555 $116,045 $172,600

Explanation:

a) Data and Calculations:

Usage data:

Repairs HR IT M1 M2

Repairs 0% 0% 40% 60%

HR 10% __ 20% 35% 35%

IT 0% 10% __ 20% 70%

HR Costs = $55,600:

Repairs = $5,560 ($55,600 * 10%)

IT = $11,120 ($55,600 * 20%)

M1 = $19,460 ($55,600 * 35%)

M2 = $19,460 ($55,600 * 35%)

IT costs = $92,120:

Repairs = $0 ($92,120 * 0%)

M1 = $20,471 ($92,120 * 20/90)

m2 = $71,649 ($92,120 * 70/90)

Repair costs = $41,560:

M1 = $16,624 ($41,560 * 40%)

M2 = $24,936 ($41,560 * 60%)

4 0

3 years ago

Read 2 more answers

Journalize the following transactions for Combs Company.

lions [1.4K]

Answer:

No Account Titles and Explanation Debit Credit

A. Raw material inventory $13,800

Direct material price variance $740

($13,800 - $13,060)

Account payable $13,060

(To record purchase of materials)

B. Work in process inventory $13,780

6,890 * ($13,800/6,900)

Direct material quantity variance $220

($13,780 - $13,560)

Raw materials inventory $13,560

6,780 * ($13,800/6900)

(To record materials issued to production)

8 0

3 years ago