Ask question

Ask question

All categories

3 years ago

13

Present Value of Money Flow Each function in Exercise represents the rate of flow of money (in dollars per year) over the given

time period, compounded continuously at the given annual interest rate. Find the present value in case.
f(t)=150e0.04t, 5 years, 6%.

1 answer:

kondaur [170]3 years ago

7 0

Answer:

0.3

Step-by-step explanation:

You might be interested in

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

2 years ago

When x^3 + kx^2 − 4x + 2 is divided by x + 2 the remainder is 26, find k.

Elis [28]

Answer:

k = 6

Step-by-step explanation:

3 0

2 years ago

3y +(-2) +48=180 solve for y

GalinKa [24]

Answer:

The answer to the problem is

y = 134/3

Step-by-step explanation

7 0

3 years ago

Suppose an experiment consists of tossing two fair coins. If the experiment were repeated 100 times, how many times would you pr

Tpy6a [65]

Why is the plot misleading?The plot shows that the data is skewed.There is not an equal number of data points for each stem.The plot shows duplicate data points.<span>The stem does not clearly show the outlier.</span>

7 0

3 years ago

Read 2 more answers

4.) What is the area of this shape?

Neporo4naja [7]

Answer:

Its blurry, can you take another picture?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers