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gogolik [260]
2 years ago
11

Given pre-image ABCDE. Which of the transformations resulted in image Point A'?

Mathematics
1 answer:
mihalych1998 [28]2 years ago
8 0
<span>A(x, y) → (x - 3, y + 1)</span>
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Nathaniel purchased a new car in 1997 for $20,300. The value of the car has been depreciating exponentially at a constant rate.
Tems11 [23]

Answer:

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the initial value of the car.

r represents rate of decay.

From the information given,

A = $2700

P = $20300

n = 2004 - 1997 = 7 years

Therefore,

20300 = 2700(1 - r)^7

20300/2700 = (1 - r)^7

7.519 = (1 - r)^7

Taking log of both sides, it becomes

Log 7.519 = 7 log(1 - r)

0.876 = 7 log(1 - r)

Log (1 - r) = 0.876/7 = 0.125

Taking inverse log of both sides, it becomes

10^log1 - r = 10^0.125

1 - r = 1.33

r = 1.33 - 1 = 0.33

The expression would be

A = 20300(1 - 0.33)^t

A = 20300(0.67)^t

Therefore, in 2007,

t = 2007 - 1997 = 10 years

The value would be

A = 20300(0.67)^10

A = $370

6 0
2 years ago
Steve stayed after school for extra activities 55% of the 180 school days this year. How many days did Steve stay after school?
musickatia [10]

Answer:

11/20 or 99/180 days

Step-by-step explanation:

55/100 converted to ?/180

180/100=1.8

so you would do the same on the numerator which is 55*1.8=99

99/180= 33/60=11/20

7 0
1 year ago
​You'd like to estimate the proportion of the 12,152 full-time undergraduate students at a university who are foreign students.
Minchanka [31]

Answer:

a) The data distribution consists of ( 7 )​1's (denoting a foreign ​student) and ( 43 )0's (denoting a student from the​ U.S.).

b) The population distribution consists of the​ x-values of the population of 12,152 full-time undergraduate students at the​university, ( 6 )​% of which are​ 1's (denoting a foreign​ student) and ( 94 )% of which are​ 0's (denoting a student from the​ U.S.).

c) The mean is ( 0.06 )

The standard deviation is ( 0.0336 )

The sampling distribution represents the probability distribution of the ( sample ) proportion of foreign students in a random sample of ( 50 ) students. In this​ case, the sampling distribution is approximately normal with a mean of ( 0.06 ) and a standard deviation of ( 0.0336 )

Step-by-step explanation:

5 0
2 years ago
The scatterplot below shows the shoe sizes of students and the number of books the students collected for the library book drive
ad-work [718]

Answer:

B. In general, the shoe size of a student does not affect the number of books collected.

Step-by-step explanation:

6 0
1 year ago
The conditional relative frequency table was generated using data that compared a student’s grade level and whether or not they
ruslelena [56]

Answer:

D. 0.57

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
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