Consider the following sequence: 87; 84; 81... Find an expression for term n of the sequence​

Answer:

c

Step-by-step explanation:

to much working out but just as a summary section of working out

3*15=45

300+45=$345(1st year)

345+300=645

6.45*15=96.75

645+96.75=$741.75(2nd year)

keep on doing that until you beat 2 in list and use common sense to realise that (d) is too big, and (b, a) is too small so (c) is the correct amount. (this is quicker than actually doing all 20 years)

The total money with Lin after 20 years will be $4910.   

The formula for compound interest -

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

Given is that Lin is saving $300 per year in an account that pays 15% interest per year, compounded annually.

We can write the total money with Lin after 20 years as -

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

A = 300(1 + 0.15/1)²⁰

A = 300(1 + 0.15)²⁰

A = 300 x (1.15)²⁰

A = 300 x 16.37

A = 4910

Therefore, the total money with Lin after 20 years will be $4910.   

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Answer:

0.12 is the correct answer

the degree of the following polynomial : (6)

Answer:

WX = 38

Step-by-step explanation:

To get this, we are gong to use the cosine rule

We have the general form as;

a^2 = b^2 + c^2 - 2bc Cos A

Let WX be a

a^2 = 17^2 + 26^2 -2(17)(26) cos 123

a^2 = 1446.46

a = √1446.46

a = 38.03

Answer:

It is 512.85

Step-by-step explanation:

A = [tex]\frac{a+b}{2}[/tex]h = [tex]\frac{21 + 5.3}{2}[/tex].39 = 512.85

It is 512.85

21*5.3*39=512.85

Answer:

4

[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]

Answer: RVN

Step-by-step explanation:

Corresponding angles are angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

By that - the bottom angle RVN can be an example of corresponding angles.

Please give brainliest!

Answer:

∠ RVN

Step-by-step explanation:

∠ PUV and ∠ RVN are corresponding angles.

Each is in the same position (lower left hand corner ) in its group of 4 angles.

Answer:

r = C/(2π)

Step-by-step explanation:

C = 2πr

Divide both sides by 2π

C/(2π) = r

r = C/(2π)

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r equals StartFraction C Over 2 pi EndFraction is the correct answer.

A circle is simply a closed 2-dimensional curved shape with no corners or edges. The total length of the boundary of a circle is referred to as a circumference. It is expressed as;

C = 2πr

Where r is radius and π is constant pi ( π = 3.14 )

Now, if the circumference C = 2πr, lets make radius r the subject of the formula.

C = 2πr

Divide both sides by 2π

C/2π = 2πr/2π

C/2π = r

r = C/2π

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r = start fraction C over 2 pi end fraction is the correct answer.

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Answer:

55

Step-by-step explanation:

The values of the x are -6.59, and -9.42 if the  quadratic equation is (x + 8)² - 2 = 0.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Solve for x.

Enter the solutions from least to greatest. Round to two decimal places.

(x + 8)² - 2 = 0

It is given:

(x + 8)² - 2 = 0

Using (a + b)² = a² + 2ab + b²

x² + 16x + 64 - 2 = 0

x² + 16x + 62  = 0

Compare with the standard form of the equation:

a = 1

b = 16

c = 62

Plug the above values in the formula:

[tex]\rm x = \dfrac{-16 \pm\sqrt{16^2-4(1)(62)}}{2(1)}[/tex]

x = [-16 ±√8]/2

x = [-16 ±2.83]/2

Take + sign:

x = [-16 + 2.83]/2

x = -6.59

Take - sign:

x = [-16 - 2.83]/2

x = -9.42

Thus, the values of the x are -9.42, and -6.59 if the  quadratic equation is (x + 8)² - 2 = 0.

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Answer:

B

Step-by-step explanation:

In an artihmetic sequence, there is a constant difference between two consecutive terms.

So for instance:

[tex]-6 -(-3) = -3[/tex]

[tex]-3 -0 = -3[/tex]

[tex]0 - 3 = -3[/tex]

As you can see there is a difference of [tex]-3[/tex] from one term to the next

____________________________

You can also find the constant difference the other way around, for instance

[tex]3-0=3[/tex]

[tex]0-(-3) = 3[/tex]

[tex]-3-(-6) = 3[/tex]

In this example, you can see that each term is [tex]3[/tex] higher than the previous term

I hope this helps!!

Answer:

p(x) = -4*x^4  - 2*x^3 + 3*x^2 + 1*x - 2

Step-by-step explanation:

We want to find a polynomial p(x), such that if we add that polynomial to:

f(x) = 4*x^4 + 2*x^3 - 2*x^2 + x - 1

we get:

g(x) = x^2 + 2*x - 3

This is:

f(x) + p(x) = g(x)

Notice that f(x) is a polynomial of degree 4 and g(x) is a polinomial of degree 2, so p(x) must be also a polynomial of degree 4.

p(x) = a*x^4 + b*x^3 + c*x^2 + d*x + e

Then we get:

(4*x^4 + 2*x^3 - 2*x^2 + x - 1) + (a*x^4 + b*x^3 + c*x^2 + d*x + e) = x^2 + 2*x - 3

We can simplify the left side to:

(4 + a)*x^4 + (2 + b)*x^3 + (-2 + c)*x^2 + (1 + d)*x + (-1 + e) =  x^2 + 2*x - 3

Because in the right side we do not have terms with exponent 4 and 3, we must have that:

4 + a = 0

2 + b = 0

and for the other exponents of x we just match the exponent in the left side with the correspondent one in the right side:

(-2 + c) = 1

(1 + d) = 2

(-1 + e) = -3

Solving the 5 equations we get:

a = -4

b = -2

c = 1 + 2 = 3

d = 2 - 1 = 1

e = -3 + 1 = -2

Then the equation for p(x) is:

p(x) = -4*x^4  - 2*x^3 + 3*x^2 + 1*x - 2

Answer:3.53

Step-by-step explanation:

I found it on a quiz game got it right

Answer:

Step-by-step explanation:

Given angles are central angles and the measure of central angles are equal to the measure of the ark they see so the measure of arc BD is equal to angle <A and A is equal to 360 - 150 - 97 (since the sum of these angles equal to 360)

ark BD = 113 and the measure of arc DCB

150 + 97 = 113

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+2y=10

6y=-3x+30

~~~~~~~~~~~~~~~~

x =10 -2y

substitution

6y=-3x+30

6y=-3(10 -2y)+30

6y = -30 + 6y + 30

6y = 6y

everything disappears.... that means the lines are "the same line"

"co-incident" ... "infinite solutions"

Note" if you ended up with something like 3=0 then the lines are parallel

Answer:

146⁰ + x = 180

x = 34⁰ is AC ..a..a.

Answer:

66.5cm²

Step-by-step explanation:

Area of trapezium = [tex]\frac{1}{2}[/tex] (sum of parallel sides) × height

Let parallel side 1 = 12cm

parallel side 2 = 7cm

height = 7cm

Area = [tex]\frac{12 + 7}{2}[/tex] × 7 = 66.5cm²

Answer:

A. 27 sq. units

Step-by-step explanation:

A = 1/2 · b · h

A = 1/2 · 3 · 18

A = 1/2 · 54

A = 27 sq. units

Answer:A-27

Step-by-step explanation:

A=1/2 18*3=27

Answer:

1.4

Step-by-step explanation:

Given the probability distribution :

X _____ 0 ____1 ____ 2 ____ 3 ____4

P(x) _ 0.16 _ 0.41 _ 0.32 __ 0.09 __ 0.02

Expected number of people waiting in line :

E(X) = Σ(x * p(x))

E(X) = (0*0.16) + (1*0.41) + (2*0.32) + (3*0.09) + (4*0.02)

E(X) = 1.4

Answer:

1.4

Step-by-step explanation:

Answer:

Median :

P = 2 ; Q = 3.5

Variability :

P = 1.5 ; Q = 1.5

Step-by-step explanation:

The measure of center we can infer from the box plot is the median, which is the point marked by the vertical line in between the box ;

For Group P:

Median = 2 inches

For Group Q :

Median = 3.5 inches

To infer the variability :

We calculate the interquartile range (IQR) :

IQR = Q3 - Q1

Q3 = Upper quartile (end point of box) ; Q1 = lower quartile (start point of box) in the plot

Locate QI and Q3

Group P:

IQR = Q3 - Q1 = 3 - 1.5 = 1.5

Group Q :

IQR = Q3 - Q1 = 4.5 - 3 = 1.5

Answer:

The answer is (0,19) or (0,-5).

By distance formula,

after squaring on both sides we and solving we get,

so, y=19 or -5

Step-by-step explanation:

you get the idea, but i don't think this is the answer yet?

Answer:

116

Step-by-step explanation:

x-2 take -2 to the other side which will be +2 thus sub +2 into the quotient and calculate

Answer:

[tex]1066[/tex]

Step-by-step explanation:

[tex]( - 26) \times ( - 41)[/tex]

[tex]26 - 41[/tex]

[tex]1066[/tex]

B is 4 inches i think

hope that helps

Answer:

1. Combination

2. Permutation

Step-by-step explanation:

Permutations occur in cases where the order of something changes the arrangement (e.g. Choosing letters of a password). Combinations occur when the order of something does not matter (e.g. choosing three donut flavors).

1. Since the order of which you choose and invite your friends does not change who you've invited, this is a combination (order does not matter).

2. When ranking a top-10 list, the order of your ranking affects the ranking itself and makes a difference (order matters). Therefore, this situation is a permutation.

Answer:

it would be 0.7 got it right when i done it

Step-by-step explanation:

Answer: real answer is 0.278

Step-by-step explanation: