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rjkz [21]
1 year ago
12

Find the component form of the vector that translates p(-3,6) to p’ (-4,8)

Mathematics
1 answer:
garri49 [273]1 year ago
7 0

Answer:

see explanation

Step-by-step explanation:

p(- 3, 6 ) → p'(- 4, 8 )

Note that the x- coordinate of p' is 1 less than p and the y- coordinate of p' is 2 more than p, thus the translation is

\left[\begin{array}{ccc}-1\\2\\\end{array}\right]

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Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential fu
Marta_Voda [28]

Answer:

Option C. $6,012

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to

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

where  

V is the the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal

t is Number of Time Periods  

in this problem we have  

t = 7 years

P = $8,000

r = 0.04

substitute in the formula above

V = 8,000(1-0.04)^{7} = 6,012

Hope this helps :)

4 0
2 years ago
Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t
jeka57 [31]

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18  (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

7 0
2 years ago
Wendy opens a bank account with money she has saved. After this initial deposit, Wendy then deposits the same amount of money ea
Bess [88]

If the table is:


x | y

------

1 | 76

------

2 | 92

---------

3 | 108

-----------

4 | 124



-------------------------------------------------------------------------------------------------------------------


Find the change inbetween each amount per week


92 - 76 = 16

108 - 92 = 16


etc.


This means that her initial deposit should be subtracting 16 from her first deposit.


76 is the amount first deposited


76 - 16 = 60


A) $60 should be your answer


hope this helps

8 0
1 year ago
Read 2 more answers
If a piece of rope cost 20 cents per 2 feet, how many feet can you buy for 30 dollars?
katrin2010 [14]

Answer: 300\ feet

Step-by-step explanation:

Let be "x" the lenght in feet  of rope that you can buy with 30 dollars.

According to the information provided in the exercise, you can buy a piece of rope of 2 feet with 20 cents.

Remember that 20\ cents=0.2\ dollars

Knowing this, you can write the following proportion:

\frac{0.2}{2}=\frac{30}{x}

FInally, solving for "x", you get this result:

\frac{0.2}{2}=\frac{30}{x}\\\\x(\frac{0.2}{2})=30\\\\x=(30)(\frac{2}{0.20})\\\\x=300

6 0
2 years ago
What was the original price of the car? MUST SHOW ALL STEPS OF THE PROCESS.
Alex Ar [27]

Answer:

19219.48

Step-by-step explanation:

16540x0.162+16540

8 0
1 year ago
Read 2 more answers
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