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3 years ago

What is the equation of this line?

Mathematics

2 answers:

patriot [66]3 years ago

4 0

Answer:

The answer is y = -4x

Step-by-step explanation:

I took the test so im 100% sure

m_a_m_a [10]3 years ago

3 0

I think the answer would be the first one

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Find the circumference of this circle. 47cm 3.14 30cm 15cm

goldfiish [28.3K]

Answer:

47 cm im nnot sure

Step-by-step explanation:

8 0

2 years ago

Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year

kifflom [539]

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

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

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting $P=14000,r=0.10,n=2,t=11$ in the above formula, we get

$A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}$

$A=14000\left(1+0.05\right)^{22}$

$A=14000\left(1.05\right)^{22}$

$A\approx 40953.65$

Therefore, the accumulated value of the given investment is $40953.65.

8 0

2 years ago

Read 2 more answers

The volume of the cone shown below is 108pie cm^3. What is the value of H?

saw5 [17]

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

3 0

2 years ago

Read 2 more answers

Let a = {1, 2, 3, 4, 5} b = {1, 3, 5} c = {4, 6}. find the cardinality of the given set. 33. n(a) 34. n(b) 35. n(a ⋃

bearhunter [10]

1) n(a) = 5

The cardinality of a set is the number of elements in that set. So, you simply need to count how many elements belong to the set, and the answer is 5

2) n(b) = 3

Simlarly, in this case you need to count how many elements belong to the set, the answer is 3

3) n(a ⋃ c) = 6

The union of two set is a set composed by all the elements belonging to either one of the sets, with no repetitions. So, since the first set contains all numbers from 1 to 5, the second set contains a 4, which however already belonged to the first set, but also a 6, which is added in the union. So, a ⋃ c = {1,2,3,4,5,6}, and thus n(a ⋃ c)=6.

4) n(a ⋂ c) = 1

The intersection of two sets is a set composed by the elements belonging to both sets. So, 1,2,3 and 5 don't belong to the intersection, because they belong to the first set alone, while 6 doesn't belong to the intersection because they don't belong to the first one. So, a ⋂ c = {4}, and thus n(a ⋃ c)=1.

4 0

3 years ago

Read 2 more answers

Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0

zubka84 [21]

I just learned a short time ago how to convert a repeating decimal to a fraction.

-- Take the repeating part of the decimal. In this one, it's '764' .

-- Make a fraction out of it by writing it over the same number of 9s.

   The fraction here is 764/999 .

-- Simplify it if possible and if you feel like it.

   764/999 can't be simplified. (I think.)

So the rational expressions for this decimal are

   (5 and 764/999)   or   5759/999   .

3 0

3 years ago