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Kobotan [32]
3 years ago
6

What is the equation of the line that passes through the points (-9,-6) and (-9, -8)?​

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:

x=-9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-(-6))/(-9-(-9))

m=(-8+6)/(-9+9)

m=-2/0

undefined

x=-9

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What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?
svet-max [94.6K]

Answer:

y - 1 = - 4(x + 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 3, 1), thus

y - 1 = - 4(x - (- 3)), that is

y - 1 = - 4(x + 3)

7 0
3 years ago
Lincoln invested $49,000 in an account paying an interest rate of 6\tfrac{1}{8}6
Orlov [11]

Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

Hence, for Lincoln, we have that the parameters are as follows:

P = 49000, r = 0.06125, n = 365, t = 20.

Hence the amount will be of:

A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}

A_L(20) = 166787

<h3>What is continuous compounding?</h3>

The amount is given by:

A(t) = Pe^{rt}

For Eli, we have that r = 0.05625, hence the amount will be given by:

A(t) = Pe^{rt}

A_E(20) = 49000e^{0.05625 \times 20} = 150931

<h3>What is the difference?</h3>

It is given by:

D = A_L(20) - A_E(20) = 166787 - 150931 = 15856

Lincoln would have $15,856 more in his account than Eli.

More can be learned about compound interest at brainly.com/question/25781328

6 0
3 years ago
In ΔTUV, v = 87 inches, t = 12 inches and ∠U=112°. Find the length of u, to the nearest inch.
Tanzania [10]

Answer:

92

Step-by-step explanation:

tRUST ME LOL

4 0
3 years ago
A die is rolled 108 times. How many times can you expect to roll a 2?
Alekssandra [29.7K]
The die can land in 6 different ways.
Only one of them is a 2.
So the probability of rolling a 2 on any roll is  1/6 .
In a large number of rolls, you expect roughly 1/6 of them to be a 2.

In 108 rolls, you should expect a 2 somewhere around 

                                           (108/6) = 18 times. 
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4 years ago
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In which group of numbers is each number a multiple of 4?
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The answer is the first row 12, 24, 48, 96
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