Please solve this question.​

Answer:

[tex]a_2=6[/tex]

Step-by-step explanation:

Geometric sequence general formula:  [tex]a_n=ar^{n-1}[/tex]

Given:

Therefore,

[tex]a_1=2 \implies a=2[/tex]

[tex]a_3=2 \cdot r^2=18[/tex]

[tex]a_5=2 \cdot r^4=162[/tex]

To find common ratio r, divide 5th and 3rd terms:

[tex]\dfrac{a_5}{a_3}=\dfrac{2 \cdot r^4}{2 \cdot r^2}=\dfrac{162}{18}[/tex]

[tex]\implies r^2=9[/tex]

[tex]\implies r=\sqrt{9}=3[/tex]

Therefore, geometric sequence formula:  [tex]a_n=2 \cdot 9^{n-1}[/tex]

So second term of sequence:

[tex]\implies a_2=2 \cdot 3^{2-1}=6[/tex]

The total amount paid by Kate as a portion of interest will be $12932.

The compound interest is the interest levied upon both the principal amount and the interest from the previous periods.

The formula for the calculation of the compound interest will be given as

[tex]A=P(1+\dfrac{r}{100^} )^n[/tex]

here,

A= Amount

P= priciple

r=Rate of interest

n=Time period

Now it is given that,

P=$9710

r=5.9%

n=5

Then putting the values in the formula we get

[tex]A=9710(1+\dfrac{5.9}{100})^5[/tex]

A=$12932

Hence the total amount paid by Kate as a portion of interest will be $12932.

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Answer:

the answer is C 1,526.22

Step-by-step explanation

2022 edge test

Answer:

5x^2+120x

Step-by-step explanation:

5x(x+24)

Step 1: Use distributive property to expand the expression. Multiply 5x separately  with all the terms inside the bracket.

Step 2: 5x(x) = 5x^2

5x(24) = 120x

Answer: 5x^2+120x

Note: If you need to further solve it, you can factor it.

To Factor;

5x^2+120x

Step 1: Factor out the common: 5x

Step 2: 5x times x = x^2

            5x times 24 = 120x

Therefore,

Factored answer: 5x(x+24)

Hope this helps.

Answer:x=6

Step-by-step explanation:

5x(x+24)=0

5x = x +24

5x - x = x - x + 24

4x = 24

X = 24/4

X = 6

Answer:

are they talking bout how much will you have left then its 0 if they talking but the check its positive

Answer:

sin = o/h = 5/13

cos = a/h = 12/13

tan = o/a = 5/12

o - opposite

a- adjacent

h - hypotenuse

Step-by-step explanation:

I guess method 1 means to deal with whole factors.

x + 5 = (x - 2)(x + 5)

for (x + 5) <> 0 we can divide both sides by this factor :

1 = x - 2

x = 3

for the second solution we deal with

x + 5 = 0

x = -5

so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.

method 2 : we multiply the expression out and solve it then

x + 5 = (x - 2)(x + 5)

x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10

0 = x² + 2x - 15

the general solution to such a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -15

x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =

= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =

= -1 ± 4

x1 = -1 + 4 = 3

x2 = -1 - 4 = -5

and you get the 2 solutions again. as expected, they are the same as with method 1, of course.

Answer:

10

Step-by-step explanation: You would have to multiply 2 by itself 50 times.

The value of the given expression is 32.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 2⁵

Evaluate using the Power rule:

mⁿ = m *m* m* m* m*m.......n times

Thus, the Value of the expression 2⁵ will be:

2⁵ = 2 * 2 * 2 * 2 * 2

2⁵ = 32

Therefore, The value of the given expression is 32.

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Answer:

$84.38

Step-by-step explanation:

i did 5.5% of 79.99=4.39

79.99+4.39=84.38

Answer: 21

Step-by-step explanation:

[tex] \alpha = \frac{3\pi}{4} r {}^{2}[/tex]

[tex] \alpha = \frac{3 \times 3.14}{4} \times (2) {}^{2} [/tex]

[tex] \alpha = 9.42[/tex]

Area=3π if you want it in radians :)

Answer:

a), b) and c) are correct.

d) 12g^4h^5

Step-by-step explanation:

Answer:

The common difference in this sequence is 16

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divide the opposite side into segments that are proportional to the other two sides, that is

[tex]\frac{x}{x+4}[/tex] = [tex]\frac{x+6}{2x+12}[/tex] = [tex]\frac{x+6}{2(x+6)}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = x + 4 ( subtract x from both sides )

x = 4

Answer:

A. 720

B. 120

Step-by-step explanation:

To do this you need to do permutation with your calculator

A.

KINDLY has 6 letters

an easy way to do this is by

6 x 5 x 4 x 3 x 2 x 1 = 720

or 6! = 720

B.

6 nPr 3 = 120

or

                n!               6!             6 x 5 x 4 x 3 x 2 x 1             720

P(n, r) = --------   =   ----------   =   -------------------------------   =   -----------   =   120

              (n - r)!        (6 - 3)!                3 x 2 x 1                          6

I hope this helps!

Answer: 13.8

Step-by-step explanation:

Answer:

13.8

Step-by-step explanation:

Answer:

66cm

Step-by-step explanation:

i kniw

Answer:

The correct answer is 360 - 150 = x

5 ori 5 fac 25 și cu 25 egal 14 și cu 14 egal 100 și cu 100 egal 12

Step-by-step explanation:

sper ca team ajutat

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and 45° are vertically opposite angles and are congruent , so

∠ 6 = 45°

Answer:

3 i think

Step-by-step explanation:

so we substitute -5 to g(x)

g(x) = -4(-5) + 3

= 20 + 3

= 23

now we substitute it to f(x)

f(x) = -2x + 49

= -2(23) + 49

= -46 + 49

= 3

Answer:

3

Step-by-step explanation:

f(x) = -2x + 49

g(x) = -4x + 3

(fºg)(x) = f(g(x)) = -2(-4x + 3) + 49

(fºg)(x) = 8x - 6 + 49

(fºg)(x) = 8x + 43

(fºg)(-5) = 8(-5) + 43

(fºg)(-5) = 3

.

Answer:

x³ - 12x² + 43x - 40

Step-by-step explanation:

f(x) × g(x)

= (x - 5)(x² - 7x + 8)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 7x + 8) - 5(x² - 7x + 8) ← distribute both parenthesis

= x³ - 7x² + 8x - 5x² + 35x - 40 ← collect like terms

= x³ - 12x² + 43x - 40

Answer:

It would be cheaper to use the online store

Step-by-step explanation:

the physical store added up to $129.04 and the online store was $128.82.

It would cost less to purchase the items from the physical store.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

To calculate the total cost for each store, we need to take into account the discounts, taxes, and shipping fees.

For the physical store:

Batteries: 2 packs x $5.99/pack = $11.98

Stereo: 1 system x $100.00/system = $100.00

CDs: 3 CDs x $7.95/CD = $23.85

Subtotal: $135.83

After the 10% discount: $135.83 - 10% = $122.25

Sales tax: $122.25 x 5% = $6.11

Total cost: $122.25 + $6.11 = $128.36

For the online store:

Batteries: 2 packs x $4.99/pack = $9.98

Stereo: 1 system x $90.00/system = $90.00

CDs: 3 CDs x $8.95/CD = $26.85

Subtotal: $126.83

After the $5.00 discount: $126.83 - $5.00 = $121.83

Shipping fee: $6.99

Total cost: $121.83 + $6.99 = $128.82

Therefore, it would cost less to purchase the items from the physical store.

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Answer:

t= 33

Step-by-step explanation:

4(8) +t = 65

32+t=65

t=33

Hope this helps!

Step-by-step explanation:

T = hourly pay (8$)

Y = hours worked

T • Y = 32

65-32 = 33$ in tips

Answer:

x=14

y=7

Step-by-step explanation:

this is a 30-60-90 triangle -- u can tell bc there is a right angle marker (90 degrees) and one angle is 30, so the other angle is 60

in a 30-60-90 triangle,,

the long leg = x√3

short leg = x

hypotenuse (the side opposite the right angle marker) = 2x

since u know the long leg is 7√3, the short leg = 7

and since the hypotenuse is 2x (twice the short leg), 7 times 2 = 14

Answer:

Yes! Because they are in proportion: 1x9 = 9, 2x9 = 18 therefore, 1:2 and 9:18 are equivalent. Similar to equivalent fractions - you need to multiply both numbers by the same number. Hope this helped!

Step-by-step explanation:

If you need further help, let me know!

- profparis

The value of q is 16.

Collinear points are the points which are formed on a straight line, whether they are close or far away.

If three or more points are collinear, then they form on the same line.

The slope of each pair of points will be same.

Here if A, B and C are collinear,

Slope of AB = Slope of BC

(4 - 0) / (7 - 9) = (q - 4) / (1 - 7)

-2 = (q - 4) / -6

q - 4 = 12

q = 16

Hence the value of q is 16.

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Answer:

You times them, its easy.

Step-by-step explanation:

1 times 2 times 3, it will multiply in 6 hours

Answer: The answer is B:)))

Step-by-step explanation:

It can be the line of best fit because it is close to most data points. 

Answer: The answer is 3211000 :^

Step-by-step explanation: hope this helps