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tankabanditka [31]
3 years ago
15

THe yearly profits of a company is $35,000, but they have been decreasing 6% per year. What will be the profit in 8 years?

Mathematics
1 answer:
Elenna [48]3 years ago
7 0

Answer:

The total money will be $113750(I think)

Just check other's answers.(or use a calculator.)

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Show that if X is a geometric random variable with parameter p, then
Lubov Fominskaja [6]

Answer:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

Step-by-step explanation:

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

In order to find the expected value E(1/X) we need to find this sum:

E(X)=\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}

Lets consider the following series:

\sum_{k=1}^{\infty} b^{k-1}

And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:

\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}   (a)

On the last step we assume that 0\leq r\leq b and \sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}, then the integral on the left part of equation (a) would be 1. And we have:

\int_{0}^b \frac{1}{1-r}dr=-ln(1-b)

And for the next step we have:

\sum_{k=1}^{\infty} \frac{b^{k-1}}{k}=\frac{1}{b}\sum_{k=1}^{\infty}\frac{b^k}{k}=-\frac{ln(1-b)}{b}

And with this we have the requiered proof.

And since b=1-p we have that:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

4 0
3 years ago
Teresa worked for 13 hours each day for 5 days. Then the next day she worked 9 hours. How many hours did Teresa work in all?
shtirl [24]

Answer:

74

Step-by-step explanation:

13 x 5 is 65. 65 + 9 is 74.

3 0
2 years ago
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I need help with this question
a_sh-v [17]

Answer:

12222

Step-by-step explanation:

3 0
3 years ago
How to find the surface area of a prism
Anuta_ua [19.1K]

Answer:

If you are talking about the rectangular prism the equation is  

2 × L × W + 2 × L × H + 2 × W × H

If you are talking about Triangular prism the equation is

B × H + L × S + L × B + L × C

5 0
3 years ago
A triangle has an area of 55 cm² and a base of 10 cm². What is the height? please help!!!!!!!!!!
AlekseyPX

Answer:

11cm2

Step-by-step explanation:

11cm2x10cm2/2 = 55cm2

3 0
3 years ago
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