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Galina-37 [17]
3 years ago
15

Which method can you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at(0,0) and (0,

-12)
Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

(0, - 6)

Step-by-step explanation:

Since this is a vertical line then the midpoint of the y- coordinates is

\frac{1}{2}(0 - 12) = - 6

⇒ midpoint = (0, - 6 )


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Theodore invests a total of $17,500 in two accounts paying 2% and 12% annual interest, respectively. How much was invested in ea
iVinArrow [24]

Answer:

11,500 at 2% and $6,000 at 12%.

Step-by-step explanation:

Let x represent amount invested at 2% and y represent amount invested at 12%.

We have been given that Theodore invests a total of $17,500 in two accounts. We can represent this information in an equation as:

x+y=17500...(1)

x=17500-y...(1)

We are also told that he invested $17,500 in two accounts paying 2% and 12% annual interest, respectively. After one year, the total interest was $950.00.

Interest earned at 2% in one year would be 0.02x.

Interest earned at 12% in one year would be 0.12y

0.02x+0.12y=950...(1)

Upon substituting equation (1) in equation (2), we will get:    

0.02(17500-y)+0.12y=950

350-0.02y+0.12y=950

350+0.10y=950

350-350+0.10y=950-350

0.10y=600

\frac{0.10y}{0.10}=\frac{600}{0.10}

y=6000

Therefore, Theodore invested $6,000 at 12%.

Upon substituting y=6000 in equation (1), we will get:

x=17500-6000

x=11500

Therefore, Theodore invested $11,500 at 2%.

5 0
3 years ago
Problem page the sum of two numbers is 67 and the difference is 11 . what are the numbers?
pav-90 [236]
Try this:
1. sum of numbers is x+y=67, the difference between them is x-y=11
2. it is possible to make up and resolve the system:
\left \{ {{x+y=67} \atop {x-y=11}} \right. \ =\ \textgreater \  \  \left \{ {{x=39} \atop {y=28}} \right.
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Consider the dot plot which shows the distribution of data collected on the amount of time Marty spends playing video games each
Marta_Voda [28]

Answer:

the correct answer is b.mean is greater than median

Step-by-step explanation:

i got the answer on usatestprep hope it helps:)

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There are 1920 fence post used in a 12 kilometer stretch of fence how many fence post are used in 1 kilometer of fence
Nonamiya [84]
160 posts are used per 1 km
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3 years ago
A bakery sold a total of 500 cupcakes in a day, and 360 of them were mocha flavored.
GREYUIT [131]

Answer:

72%

Hope this Helps! :)

7 0
3 years ago
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