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Allushta [10]
3 years ago
11

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value. At this

rate, what can Dan expect the approximate value of the computer to be after 7 years?
Mathematics
1 answer:
lys-0071 [83]3 years ago
8 0

Answer:

$120.14

Step-by-step explanation:

This question is an example of a compound percentage decrease.

To work this out you would first need to convert the percentage of 25 into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.

The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.

The final step is to multiply the amount of 900 by 0.75 to the power of 7, this gives you $120.14.

1) Divide 25 by 100.

25/100=0.25

2) Minus 0.25 from 1.

1-025=0.75

3) Multiply 900 by 0.75 to the power of 7.

900*0.75^7=120.14

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<u><em>Answer: B. m=-23 and -23=m. *The answer should be the negative sign.*</em></u>

Step-by-step explanation:

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8 0
3 years ago
In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear
Sever21 [200]

Answer:

m= \frac{r_2 -r_1}{t_2 -t_1}= \frac{2000000-1000000}{14-4}=100000

And then we can use for example the first point (t_1, r_1) = (4, 1000000) to find the intercept:

1000000= 100000*4 + b

b=600000

So then the linear model for this case should be:

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Step-by-step explanation:

For this case we want to find a linear model given by:

r =mt+b

Where r = represent the number of readers , t= years after 2000

m = the slope for the model and b the intercept

For this case we can define the following points from the data given:

(t_1, r_1) = (4, 1000000) 4 years after 2000

(t_2, r_2) = (14, 2000000) 14 years after 2000

We can find the slope with the following formula:

m= \frac{r_2 -r_1}{t_2 -t_1}= \frac{2000000-1000000}{14-4}=100000

And then we can use for example the first point (t_1, r_1) = (4, 1000000) to find the intercept:

1000000= 100000*4 + b

b=600000

So then the linear model for this case should be:

r = 100000 t + 600000

8 0
3 years ago
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