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Ugo [173]
3 years ago
14

A line passes through the point (2, -4) and has a slope of -9. Find the equation of the line.

Mathematics
1 answer:
VladimirAG [237]3 years ago
3 0

Answer:

y = -9x + 14

Step-by-step explanation:

y + 4 = -9 (x -2)

y + 4 = -9x +18

y = -9x + 14

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Need answers for 1-9.
FinnZ [79.3K]
The answer is negative 8. Hope this Helps.
4 0
3 years ago
Paulo has won the lottery. He is offered a series of payments of $10,000 per year for 10 years. What is the present value of the
sergiy2304 [10]

The present value of the payments is $73,600.87.

Present value of a cash flow is the value of the cash flow today. This is determined by adding the discounted cash flows of the cash flows together.  

Discounted year 1 cash flow: 10,000 / (1.06) = 9,433.96

Discounted year 2 cash flow: 10,000 / (1.06)^2 = 8,899.96

Discounted year 3 cash flow: 10,000 / (1.06)^3 = 8,296.19

Discounted year 4 cash flow: 10,000 / (1.06)^4 = 7,920.94

Discounted year 5 cash flow: 10,000 / (1.06)^5 = 7,472.58

Discounted year 6 cash flow: 10,000 / (1.06)^6 = 7,049.61

Discounted year 7 cash flow: 10,000 / (1.06)^7 = 6,650.57

Discounted year 8 cash flow: 10,000 / (1.06)^8= 6,274.12

Discounted year 9 cash flow: 10,000 / (1.06)^9 = 5,918.98

Discounted year 10 cash flow: 10,000 / (1.06)^10 = 5,583.95

The sum of the discounted cash flows = $73,600.87

A similar question was solved here: brainly.com/question/9641711?referrer=searchResults

4 0
2 years ago
What is the area in cm^2 of the circle shown above
GaryK [48]

Answer:

21

Step-by-step explanation:

6 0
3 years ago
Leap years are years in which February has 29 days instead of 28. The device of leap year was invented to keep the calendar in s
goldenfox [79]

Answer:

As you know, a year has around 365 + 1/4 days.

This means that in two years, we have:

365 + 356 + 1/4 + 1/4 = 730 + 1/2

and so on.

adding this up, when we have 4 years we have a full day extra, this is:

1460 + 1

When we divide 1461 by 4, we have 365 with a surpass of 1.

The rule used to keep the calendar in sync with this extra day is adding an extra day to each fourth year.

So each fourth year, we have an extra day in Februray (the Februray 29th), this is called a bisiest year.

The "math rule" used to know if a year is leap or not is:

if a year is not divisible by 4, then it is a common year

else if the year is not divisible by 100 then it is a leap year,

else if the year is not divisible by 400, then it is a common year

if not, the year is a leap year.

Where "year" represents the number of the year.

8 0
2 years ago
The expressions given represent the measures of the acute angles of a right triangle Find the measure of each acute angle.
olasank [31]

Answer:

30, 60

Step-by-step explanation:

The sum of a triangles angles should be 180.

Subtract 90 because it's a right triangle.

180 - 90 = 90

Now we know the sum of the other angles should be 90.

x + 2x = 90

Solve for x.

3x = 90

x = 30

Now you substitute 30 for x.

(30), 2(30)

30, 60

4 0
2 years ago
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