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Phoenix [80]
3 years ago
14

PLEASE ANSWER

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

Answer:

Step-by-step explanation:

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Write a linear function whose slope is -4 and y intercept is -5. Explain what these values mean in the equation.
dsp73
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
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Walt grew 10 centimeters in one year. He is now 1.6 meters tall. How tall was Walt one year ago in centimeters?
kondor19780726 [428]

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

1.6 = 0.1 + x

x = 1.6 - 0.1

x = 1.5

His height last year was 1.5m.

In centimeters, that is 1.5*100 = 150 cm.

6 0
3 years ago
Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of rest
soldier1979 [14.2K]

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:

E = Pit

In this problem:

  • Deposit of $178,000, hence P = 178000.
  • Interest rate of 9.5% per year, hence i = 0.095.
  • 8 months, the time is in years, hence t = \frac{8}{12} = \frac{2}{3}

Item a:

E = Pit

E = 178000(0.095)\frac{2}{3} = 11272.33

The interest due after 8 months is $11,272.33.

Item b:

For the second interest, we consider P = 11272.33, hence:

E_2 = Pit

E_2 = 11272.33(0.095)\frac{2}{3} = 713.91

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:

T = 178000 + 11272.33 + 713.91 = 189986.24

The total value of the investment will be of $189,986.24.

A similar problem is given at brainly.com/question/13176347

3 0
3 years ago
In a certain computer, the probability of a memory failure is 0.01, while the probability of a hard disk failure is 0.02. If the
ratelena [41]

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:

P(A \cap B) = P(A) *P(B)

For this case we have that:

P(A) *P(B) = 0.01*0.02= 0.0002

And we see that 0.0002 \neq P(A \cap B)

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:

P(A) = 0.01 , P(B) = 0.02

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

P(A \cap B) = 0.0014

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:

P(A \cap B) = P(A) *P(B)

For this case we have that:

P(A) *P(B) = 0.01*0.02= 0.0002

And we see that 0.0002 \neq P(A \cap B)

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

8 0
3 years ago
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