Subtract m + 8 from 5m + 11.

2m/(2m 3)-(2m)/(2m-3)=1how many extraneous solutions does the equation have?

Slav-nsk [51]

$\frac{2m}{2m+3} - \frac{2m}{2m-3} =1 \\ \frac{2m(2m-3)-2m(2m+3)}{4m^2-9} =1 \\ \frac{4m^2-6m-4m^2-6m}{4m^2-9} =1 \\ \frac{-12m}{4m^2-9} =1 \\ -12m=4m^2-9 \\ 4m^2+12m-9=0 \\ m=0.6213 \ or \ m=-3.6213$
For m = 0.6213, $\frac{2(0.6213)}{2(0.6213)+3} - \frac{2(0.6213)}{2(0.6213)-3} \\ \frac{1.2426}{4.2426} - \frac{1.2426}{-1.7574} =0.2929+0.7071=1$
For m = -3.6213, $\frac{2(-3.6213)}{2(-3.6213)+3} - \frac{2(-3.6213)}{2(-3.6213)-3} \\ \frac{-7.2426}{-4.2426} - \frac{-7.2426}{-10.2426} =1.7071-0.7071=1$
Therefore, the equation has no extraneous solution.

4 0

4 years ago

The CFO of the company believes that an appropriate annual interest rate on this investment is 4%. What is the present value of

hodyreva [135]

Find attached the missing cash flow stream

Answer:

Present value = $1,685,334 (rounded to the nearest whole)

Explanation:

Since the cash flow stream is uneven, you must discount each stream individually and after you have discounted every stream you can add each preset value to find the net present value.

The formula for present value is:

$\text{Present Value} = \dfrac{\text{Future Value}}{(1+r)^n}\\\\\ Where:\\ \\ r = \text{Rate of return=interest rate}\\ \\ n = \text{Number of periods}$

1. Year 1:

Future value = $250,000
r = 4%
n = 1

$Present\text{ }value=\$250,000/(1+0.04)^1=\$240,384.62$

2. Year 2:

Future value = $20,000
r = 4%
n = 2

$Present\text{ }value=\$20,000/(1+0.04)^2=\$18,491.12$

3. Year 3:

Future value = $330,000
r = 4%
n = 3

$Present\text{ }value=\$330,000/(1+0.04)^3=\$293,368.80$

4. Year 4:

Future value = $450,000
r = 4%
n = 4

$Present\text{ }value=\$450,000/(1+0.04)^4=\$384,661.89$

5. Year 5:

Future value = $550,000
r = 4%
n = 5

$Present\text{ }value=\$550,000/(1+0.04)^5=\$452,059.91$

6. Year 6:

Future value = $375,000
r = 4%
n = 6

$Present\text{ }value=\$375,000/(1+0.04)^6=\$296,367.95$

Total present value = $240,384.62 + $18,491.12 + $293,368.80 + $384,661.89 + $452,059.91 + $296,367.95 + $ 296,367.95

Total present value = $1,685,334.29 = $ 1,685,334

6 0

3 years ago

Acceptance Sampling Random sampling from a large lot of manufactured items yields a number of defective items X with an approxim

AfilCa [17]

Answer:

Step-by-step explanation

Let β = np, n= 5 and p= 0, 0.1, 0.3, 0.5, 0.9 and 1

x > a, a= 0

The probability of an item inspected, P(x) = β∧x*e∧-β/x!

a) For x= 1: β = 5 X 0 = 0

P(x=1) = 0

For x = 2: β = 5 X 0.1 = 0.5

P(x=2) = 0.5²*e∧-0.5/2!

For x = 3: β = 5 X 0.3 = 1.5

P(x=3) = 1.5³*e∧-1.5/3!

For x =4: β = 5 X 0.5 = 2.5

P(x=4) = 2.5∧4*e∧-2.5/4!

For x = 5: β = 5 X 0.9 = 4.5

P(x=5) = 4.5∧5*e∧-4.5/5!

For x= 6: β = 5 X 1 = 5

P(x= 6) = 5∧6*e∧-5/6!

b) For plan1, x = 1: β + 10 X 0.1 = 1

P(x=1) = e∧-1/1! = 1/e = 1/2.718 = 0.368

For plan2, x=20: β = 100 X 0.1 = 10

P(x=20) = 10∧20*e∧-10/20!

Plan 2 is preferable because the probability of success is very small and the number of trial is comparatively large, hence, the poisson distribution will be suitable probability model.

d) Plan 1 is prefered instead, because the probability of success is larger and more profit is made.

e) Plen 2 is prefered, because it will be cheaper to afford.

8 0

3 years ago

PLEASE HELP ASAP IM BEHIND RIP

Jet001 [13]

Answer:6

Step-by-step explanation:

6 0

3 years ago

What is 7,491,001 rounded to the nearest hundrer thousand

VladimirAG [237]

Answer:

7,491,001 --> 7,500,000

Step-by-step explanation:

This is because rounding happens like this:

The rounding rule is: 5 and above rounds up, and 4 and under rounds down.

Here is a little rhyme for the rule: 5 and above rounds up like a dove. 4 and below, get down low!

7,491,001 --> you want to round the underlined digit. You round using the next digit to the right. The next digit over is the 9. Remember our rounding rule. Since 9 is above 5, the 4 would round up. Note - the digits after the rounded number always become zeros, even if you round up or down. So our new number is 7,500,000.

I hope I helped!

<h2>PLEASE MARK BRAINLIEST!</h2>

8 0

3 years ago

Subtract m + 8 ​​from​ 5m + 11.

Subtract m + 8 from 5m + 11.