In y = mx + b form, the slope is in the m position and the y int is in the b position.
y = mx + b
slope(m) = -4
y int (b) = -5
y = -4x - 5
or
f(x) = -4x - 5
Answer:
One year ago, he had height of 150 cm.
Step-by-step explanation:
We have to model this situation.
The first step is having everything as the same unit. I am going to work in meters initially.
Each m is 100 cm. So 10cm = 10/100 = 0.1m.
I am also going to say that his height one year ago was x.
His height is now 1.6m, which is 10cm = 0.1m above his height last year, which was x. So



His height last year was 1.5m.
In centimeters, that is 1.5*100 = 150 cm.
Using simple interest, we have that:
A) The interest due after 8 months is $11,272.33.
B) The total value of the investment will be of $189,986.24.
The amount of interest earning using <em>simple interest</em>, after <u>t years</u>, with an <u>yearly interest rate of i</u> and an <u>initial investment of P</u> is given by:

In this problem:
- Deposit of $178,000, hence
. - Interest rate of 9.5% per year, hence
. - 8 months, the time is in years, hence

Item a:


The interest due after 8 months is $11,272.33.
Item b:
For the second interest, we consider
, hence:


The total value will be composed by:
- The initial deposit of $178,000.
- The first interest of $11,272.33.
- The second interest of $713,91.
Hence, it will be:

The total value of the investment will be of $189,986.24.
A similar problem is given at brainly.com/question/13176347
Answer:
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

For this case we have that:

And we see that 
So then we can conclude that the two events given are not independent and have a relationship or dependence.
Step-by-step explanation:
For this case we can define the following events:
A= In a certain computer a memory failure
B= In a certain computer a hard disk failure
We have the probability for the two events given on this case:

We also know the probability that the memory and the hard drive fail simultaneously given by:

And we want to check if the two events are independent.
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

For this case we have that:

And we see that 
So then we can conclude that the two events given are not independent and have a relationship or dependence.