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malfutka [58]
3 years ago
13

The image of (4, 1) under the transformation T : (x, y) → (x + 3, y + 1) is

Mathematics
1 answer:
larisa [96]3 years ago
4 0
(4 + 3 , 1 + 1)
(7,2)
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A three-bedroom house in North Augusta sold for $190,000. If housing prices are expected to increase 1.8% annually in that town,
Ivahew [28]

Answer:

we know that the initial price of the house is $190,000.

We also know that the expected increase is 1.8%, this means that the year zero we have no increase; the price is $190,000.

one year after we have an increase of the 1.8% (or 0.018 in decimal form), this means that the new price is:

$190,000 + $190,000*0.018 = $190,000*(1.018)

another year after, we have:

$190,000*(1.018)*(1.018) = $190,000*(1.018)^2

and etc

The function that models the price as a function of the years, represented as y, is:

P(y) = $190,000*(1.018)^y

If we want to know the price in 5 years, we need to replace y = 5 in the equation:

p(5) = $190,000*(1.018)^5 = $207,726.80

Step-by-step explanation:

hope this helps you

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3 years ago
How does the length of the diameter of a circle relate to the length of the radius of that same circle
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The diameter is twice as big as the radius

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Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diag
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The answer is A. 21.14 m/s
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juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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2 years ago
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior out of all students in the
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20% = 1/5, so 5*5 = 25 students
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