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3 years ago

which method could you use to calculate the y-ordinate of the midpoint of the vertical line with end points (0, 0) and (0, -12)

Mathematics

2 answers:

frez [133]3 years ago

7 0

we can simply just draw them, notice it is a vertical line

Check the picture below.

miskamm [114]3 years ago

4 0

For this case we have that by definition, the midpoint is given by:

$(\frac{x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2})$

We have the following extreme points of a line:

$(x_ {1}, y_ {1}) :( 0,0)\\(x_ {2}, y_ {2}) :( 0, -12)$

Substituting in the formula we have:

$(\frac{0 + 0}{2}, \frac {0-12} {2})\\(\frac {0} {2},\frac {-12} {2})\\(0, -6)$

We have that the midpoint is (0, -6)

Answer:

(0, -6)

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kondor19780726 [428]

4,950×3=1650
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3 years ago

What does 5^6 equal?

lozanna [386]

Answer:

15625

Step-by-step explanation:

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3 years ago

You have $5600. The best interest rate you can find is 3%

EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

$A = P(1 + \frac{r}{n})^{nt}$

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

$\frac{A}{P} = (1 + \frac{r}{n})^{nt}$

Taking logs on both sides

$log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}$

This gives

$log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}$

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

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2 years ago

Joe’s annual income has been increasing each year by the same dollar amount the first year his income was 19,500. 8 years later

Anna007 [38]

Answer:

The question is either poorly constructed or it is a trick question. We do not know "In what year was his income 30,300" because the years correlating to his income are not disclosed. Even assuming the question was meant to be posed as "how many years later was his income 30,300" it is still flawed.

Step-by-step explanation:

To arrive at Joe's annual income increase, first subtract 19,500 from 27,900 to get 8400, which is his overall increase over the 8 years. Now divide 8400 by 8. You will get 1050. Beginning with his income of 27,900, add 1,050 to each successive income amount and you will get the following progression:

27,900, 28,950, 30,000, 31,050, 32,100, 33,150, 34,200, 35,250, 36,300.

Therefore, two years after his income was 27,900 it would be 30,000 and 6 years after that it would be 36,300. It would never be 30,300.

6 0

3 years ago

Please answer this now with correct answer

lana66690 [7]

Answer:

483.56 square milimeters

Step-by-step explanation:

In the above question, we obtain the following information:

Slant height = 15mm

Radius = 7mm

π = 3.14

Since we are given the slant height ,

the formula for surface area of a cone = πrl + πr²

= πr (l + r)

= 3.14 × 7(15 + 7)

= 3.14 × 7( 22)

= 21.98(22)

= 483.56 square milimeters

7 0

3 years ago