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ExtremeBDS [4]
3 years ago
9

A business purchases a computer system for $5,300. The value of the system decreases at a rate of 12% per year. In how many year

s will the computer be less than $2200?​
Mathematics
1 answer:
N76 [4]3 years ago
6 0

Answer:

7

Step-by-step explanation:

If a system decreases by 12% it's the same as multiplying it by .12-1 or .88

This means we can create the following equation

computer value=5300(.88)^n

where n is the number of years

We can then plug in the value of the computer and solve for n

2200=5300(.88)^n

Divide by 5300 and get

.415=.88^n

Then put this into log form and get

\frac{log(.415)}{log.88}

Evaluate this into your calculator and get n=6.69 which I would probably just round to 7

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In 2012, Red Rose tea randomly began placing 1 of 12 English porcelain miniature figurines in a l00-bag box of the tea, selectin
Mandarinka [93]

Answer:

n = 144 bags

Step-by-step explanation:

Given:-

- English porcelain miniature figurines in total = 12

- 1 figurine is to be placed in a 100-bag box

Find:-

On the average, how many boxes of tea must be pur-chased by a customer to obtain a complete collection consisting of the 12 nautical figurines?

Solution:-

- We will denote a random variable (X) as the number of figurines in (n) number of bags purchased.

- The probability (p) of finding a figurine in a single bag is ( success ):

                                 p = 1 / 12

- The random variable (X) can follow a binomial distribution with parameters n = number of bags purchased, and p = probability of selecting a bag with a figurine.

                                X ~ B ( n , 1/12 )

- The average number of bag "n" that need to be purchased to find all 12 figurines available:

                               E ( X ) = 12

                               n*p = 12

                               n = 12 / p

                               n = 12 / ( 1 / 12) = 12^2

                               n = 144 bags

- A total of average n = 144 bags need to be purchased to find all the 12 figurines.

6 0
3 years ago
This is 210 dollars more than the static graders, but only 4/5 as much as the stactic graders. For every 60 dollars the teachers
lesya692 [45]

The teachers plan will raise money is 1.8 times the static graders plan.The teachers plan to raise a dollar is 5/6 times the static graders plan to raise a dollar.More dollars will be raised by the teachers plan compared to the static graders plan.

Step-by-step explanation:

In the question,

Let what the static graders plan to rise to be $x.

Let what the teachers plan to rise to be $ y

You understand that ;

y =210 +x ----------------(this is 210 dollars more than the static graders raise)

y=x+4/5 x -------------------(but only 4/5 as much as the static graders)

Solving the equations to get x and y

210+x=x+4/5x

5(210+x)=5*x+4x

1050+5x=5x+4x

1050=5x+4x-5x

1050=4x

1050/4=4x/4

x=$262.50

y=210+262.50=$472.50

Additionally, for every $60 raised in teachers plan, the static graders raise $50

This means in teachers plan 1$ raised equals 5/6$ raised in static plan

y=5/6x

Learn More

Fund raising comparison brainly.com/question/12421531

#LearnwithBrainly

8 0
3 years ago
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4vir4ik [10]
Tu tia tenia 21 años de wear despues de 9 años de edad.
5 0
3 years ago
What number would represent the outlier in the following set of data?
STatiana [176]

Answer:

An outlier is the number that is much smaller or larger than the other numbers.

In this case it is 29 :)

5 0
3 years ago
Read 2 more answers
What is the maximum value of Sinx+cosx
Harrizon [31]

The answer is 2 since both

\sin(x),\cos(x)\in[0,1]

The maximum value of \sin(x) is 1 and the same for cosine. The sum becomes 1 + 1 which evaluates to 2.

Hope this helps.

6 0
3 years ago
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