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finlep [7]
3 years ago
13

A classmate is 22 years younger than your instructor. Write an equation that will determine your classmate’s age (y) if given yo

ur instructor’s age (x). Use this equation to determine your classmate’s age.
Mathematics
1 answer:
Dima020 [189]3 years ago
3 0

Hey there, we are given quite a lot of information in this problem. First of all, let's make an equation.


y = x - 22

where y = student's age

where x = instructor's age

this equation is correct because x(instructor) - 22 will yield the student's age (y).


If the instructor were 44 years old, the student would be 22 years old.

y = 44 - 22

y = 22


If the instructor were 66 years old, the student would be 44 years old.

y = 66 - 22

y = 44

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Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

P(t) = P(0)(1-r)^{t}

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15​% per year.

This means that r = 0.15

Component costs ​$60 ​today

So P(0) = 60. Then

P(t) = P(0)(1-r)^{t}

P(t) = 60(1-0.15)^{t}

P(t) = 60(0.85)^{t}

What will it cost in three​ years?

This is P(3).

P(t) = 60(0.85)^{t}

P(3) = 60(0.85)^{3} = 36.8475

The component will cost $36.8475 in three years.

6 0
3 years ago
If there is 15,000 gallons of water in your basement, how long will it take the 2,500 gph
Alex Ar [27]

Answer:

6 hours

Step-by-step explanation:

well we have 15000 gallons, divided by 2500 since its gallons per hour. we have 6 hours

have a good day

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Step-by-step explanation:

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3 years ago
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4 years ago
What is the beat estimate for the quotient? 591.3 device by 29
Sedbober [7]
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To estimate, we can round:

591.3 is approximately 600
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600 / 30 = 20

Hope this helps!
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4 years ago
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