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soldier1979 [14.2K]

4 years ago

14

How much would Howard Steele need to invest today so that he may withdraw $12,000 each year for the next 20 years, assuming a ra

te of 8% compounded annually?

1 answer:

morpeh [17]4 years ago

3 0

I think its <span>$117,817.20</span>

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Inveres laplace transform (3s-14)/s^2-4s+8

Olenka [21]

Complete the square in the denominator.

$s^2 - 4s + 8 = (s^2 - 4s + 4) + 4 = (s-2)^2 + 4$

Rewrite the given transform as

$\dfrac{3s-14}{s^2-4s+8} = \dfrac{3(s-2) - 8}{(s-2)^2+4} = 3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}$

Now take the inverse transform:

$L^{-1}_t\left\{3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3L^{-1}_t\left\{\dfrac{s-2}{(s-2)^2+2^2}\right\} - 4L^{-1}_t\left\{\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3e^{2t} L^{-1}_t\left\{\dfrac s{s^2+2^2}\right\} - 4e^{2t} L^{-1}_t\left\{\dfrac{2}{s^2+2^2}\right\} \\\\ \boxed{3e^{2t} \cos(2t) - 4e^{2t} \sin(2t)}$

5 0

3 years ago

My question is y = 4x + 1 and my options are<br>a. 4, 3 <br>b. 4,1<br>c. 1,4<br>d. 3,1

Akimi4 [234]

Answer:

B. 4,1

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Janko measures 162 cm and his father 180 cm.The father is abaut % higher than Janko

Vesnalui [34]

Answer:

10%

Step-by-step explanation:

180-162=18

180/18=10

=10%

3 0

3 years ago

Find x (x+13)(x-7)=0

alex41 [277]

So for this, we will be applying the <u>zero product property</u>, which is <u>"if a x b = 0, then either a = 0 or b = 0 or both a and b = 0"</u>. In this case, a = x + 13 and b = x - 7. Solve them separately:

$x+13=0\\ x=-13\\ \\ x-7=0\\ x=7$

<u>Your answer is x = -13 and 7.</u>

7 0

3 years ago

A state lottery sells instant-lottery scratch tickets. 12% of the tickets have prizes. Neil goes to the store and buys 10 ticket

Readme [11.4K]

Answer:

The probability of success is .12

The probability of failure is .88

According to the binomial theorem the probability of 3 success is

10! / (3! * 7!) * .12^3 * .88^7 = .085

5 0

3 years ago