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3 years ago

What is the slope of a line that passes through the points (-2,4) and (-6,12)?

Mathematics

2 answers:

muminat3 years ago

6 0

Answer:

-2

Step-by-step explanation:

As we move right from (-6,12) to (-2,4), x increases by 4 and y decreases by 8. Thus, the slope of the line thru these 2 pts is m = rise / run = -8/4 = -2.

The first answer choice is the correct one: The slope is -2.

mariarad [96]3 years ago

5 0

Answer:

2.5

you multiply it

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S (SOA) An annuity pays 1 at then end of each year for n years. Using an annual effective interest rate of i, the accumulated va

Reptile [31]

Answer:

Step-by-step explanation:

Given:

Annuity at time (n + 1) = 13.776

(1 + i)ⁿ = 2.476

Now,

$S_{n/i}=\frac{(1+i)^n-1}{d}$

here, d = $\frac{i}{1-i}$

thus,

$13.776=\frac{2.476-1}{d}$

d = 0.1071

therefore,

d = $\frac{i}{1+i}$

0.1071 = $\frac{i}{1+i}$

0.1071 + 0.1071i = i

i = 0.1199

now,

(1 + i)ⁿ = 2.476

(1 + 0.1199)ⁿ = 2.476

1.1199ⁿ = 2.476

taking log both sides

n × log(1.1199) = log(2.476)

n = 8.006 ≈ 8

hence,

the answer is 8

7 0

3 years ago

What is 5 multiplied by 2

OleMash [197]

10.

5 multiplied by 2 "5 x 2" = 10

6 0

3 years ago

Bluepoint's current population is 7,353 residents, which is 14% smaller than at the time of its founding. What was the populatio

valina [46]

Answer:

8,382.42

Step-by-step explanation:

4 0

2 years ago

The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of t

svetlana [45]

The given radius is = 60 feet

The volume of the sphere is given by = $\frac{4}{3} \pi r^{3}$

So we will find the volume of the sphere using radius as 60 and pi as 3.14

Volume = $\frac{4}{3}*3.14*60*60*60$ = 902059.20 cubic feet

As quarter of anything is defined as its one-fourth part, so here the volume of the quarter of sphere can be calculated by finding one fourth of the calculated volume.

So volume of quarter sphere = $\frac{902059.20}{4}$