What is the answer if 202^2 base3 - 112^2 base3?

The values of BMW after 2, 4 and 8 years  according to the EXPONENTIAL FUNCTION are $33,462, $20,358.28 and $7,535.63 respectively.

Using the parameters given, we define an decreasing exponential function :

[tex]A = A_{0} (1 - r)^{t}[/tex]

Where,

[tex]A_{0}[/tex] = initial amount ; r = Rate ; t = time ; A = final amount

Value after 2 years :

t = 2

A = 55000(1 - 0.22)²

A = 55000(0.78)²

A = $33,462

Value after 4 years :

t = 4

A = 55000(1 - 0.22)^4

A = 55000(0.78)^4

A = $20,358.28

Value after 8 years :

t = 4

A = 55000(1 - 0.22)^8

A = 55000(0.78)^8

A = $7,535.63

Therefore, the value of BMW after 2, 4 and 8 years are $33,462, $20,358.28 and $7,535.63 respectively.

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Answer:

D. 16 years old

Step-by-step explanation:

Step 1: Let T be Tien's age and J as Jordan's age (today),

[tex]T=\frac{1}{4}J[/tex]

Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),

[tex]T+2=\frac{1}{3} (J+2)[/tex]

[tex]T=\frac{1}{3}(J+2)-2[/tex]

Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,

[tex]\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16[/tex]

Answer:

9.89949 or 9.9

Step-by-step explanation:

7^2 + 7^2 = c^2

49+49=98

square root of 98 = 9.89949

Answer:

.441320612

or

44.132%

Step-by-step explanation:

This is binomial

fewer than 3 is equal to p(0)+p(1)+p(2)

[tex]p(0)={19\choose0}*.15^0*(1-.15)^{19}=.045599448\\p(1)={19\choose1}*.15^1*(1-.15)^{18}=.152892268\\p(2)={19\choose2}*.15^2*(1-.15)^{17}=.242828896\\p(0)+p(1)+p(2)=.441320612[/tex]

Answer:

6/15

Step-by-step explanation:

add all the marbles up and you get 15

6 green ones out of 15 marbles

Answer:

2/5

Step-by-step explanation:

6 green+5 red+4 blue = 15 marbles

P(green) = number of green/ total

              = 6/15 = 2/5

Answer: 5 and 7

Step-by-step explanation:

Given

Sum of the integers is 12

Product of the integers is 35

Suppose the integers are [tex]x[/tex] and [tex]y[/tex]

[tex]\Rightarrow x+y=12\\\\\Rightarrow y=12-x\\\Rightarrow xy=35\\\text{Substitute y}\\\Rightarrow x(12-x)=35\\\Rightarrow 12x-x^2=35\\\Rightarrow x^2-12x+35=0\\\Rightarrow x^2-7x-5x+35=0\\\Rightarrow (x-7)(x-5)=0\\\Rightarrow x=5\ or\ 7[/tex]

[tex]\therefore \text{y can be }7\ or\ 5[/tex]

Hence, the numbers are 5 and 7.

Answer:

24 and 48

Today, the son is 24 years old, and the father is 48 years old.  

Step-by-step explanation:

(x - 10) + (2x - 10) = 52

3x + 20 = 52

3x = 72

x = 24

The father is 2 times his son's age.

2x

= 2(24)

= 48

So, the son is 24 and the father is 48.

10 years ago, son was 14 and father was 38, if added, this adds up to 52, so we know our calculations are correct.

Answer:

So the son’s age is 24 and the father’s is 48. Ten years ago, they were 14 and 38, which adds up to 52.

Step-by-step explanation:

If the son’s age is x, the father’s age is 2x.

Ten years ago:

(x - 10) + (2x - 10) = 52

3x + 20 = 52

3x = 72

x = 24

2x = 48

[tex]\\ \sf\longmapsto 2(4x-1)+3(3-2x)=0[/tex]

[tex]\\ \sf\longmapsto 8x-2+9-6x=0[/tex]

[tex]\\ \sf\longmapsto 8x-6x-2+9=0[/tex]

[tex]\\ \sf\longmapsto 2x+7=0[/tex]

[tex]\\ \sf\longmapsto 2x=-7[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7}{2}[/tex]

Answer:

linear increasing

Step-by-step explanation:

For the section labeled B, the line goes up as x increases.  This means the line is increasing

Answer:

Linear increasing

Step-by-step explanation:

The slope of interval B is constant since it's a straight line, which makes it linear. The line in interval B is pointing upward so it's increasing.

Answer:

1st option

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here g(x) = [tex]\sqrt{x+3}[/tex]

The base graph f(x) has been shifted left 3 units

Answer:

12 lemons

Step-by-step explanation:

CP of 15 lemon = ₹ 1

Profit = 25 %

SP of 15 lemons = [tex]\frac{100+profit}{100}*CP[/tex]

    [tex]= \frac{125}{100}*1\\\\= \frac{5}{4}[/tex]

SP of 15 lemons =  ₹  [tex]\frac{5}{4}[/tex]

Number of lemon for  ₹  [tex]\frac{5}{4}[/tex]  = 15

Number of lemons for  ₹  1 = 15 ÷ [tex]\frac{5}{4}[/tex]

                                            [tex]= 15 *\frac{4}{5}\\\\= 3*4\\\\= 12[/tex]

Here, all we need to do is subtitute w = 2 and x = 2 into the expression, by multiplying and adding. First, we will muliply 9w:

9w

9 · w =

9 · 2 =

18

Now, all we have to do is use our answer for 9w, and subtract x from it:

9w - x

18 - (2) =

18 - 2 =

16

So, our answer is 16.

Let me know if you have any other questions! :)

Answer:

if Q={1,3,5,7,9}Express it in description methods

Answer: With the condition that age is 30 or under, the sample space is restricted to the first column. This simplifies the problem to:

P(uses mass transit |age is 30 or under) = 125/575=0.217

Step-by-step explanation:

edmentum

Answer:

Step-by-step explanation:

please make it a brainliest answer.

Answer:

-2<x<1

Step-by-step explanation:

-5 < 8x + 11 < 19

Subtract 11 from all sides

-5-11 < 8x + 11-11 < 19-11

-16 < 8x<8

Divide by 8

-16/8 < 8x/8 <8/8

-2<x<1

Answer:

Step-by-step explanation:

let tan 2x=y

y³-3y+2=0

y³-y-2y+2=0

y(y²-1)-2(y-1)=0

y(y+1)(y-1)-2(y-1)=0

(y-1)[y(y+1)-2]=0

(y-1)(y²+y-2)=0

(y-1)(y²+2y-y-2)=0

(y-1)[y(y+2)-1(y+2)]=0

(y-1)(y+2)(y-1)=0

y=1,1,-2

tan 2x=1=tanπ/4=tan (nπ+π/4)=tan π/4(n+1)

2x=π/4(n+1)

x=π/8(n+1)

where n is an integer.

tan 2x=-2

[tex]2x=tan^{-1}(-2)\\x=\frac{1}{2} tan^{-1}(-2)[/tex]

Answer:

36π inches which is 113.10 inches to the nearest hundredth

Step-by-step explanation:

The circumference = 12 * π

Rotating 3 times  the distance moved is 3 * 12π.

Answer:

it is an absolute function

or more precisely

y = - I x - 1 I + 8  (shown in the screenshot)

Answer:

-2x^4+x^3-5x+8

Step-by-step explanation:

8-5x+x^3-2x^4

Write the polynomial from highest powers of x to lowest

-2x^4+x^3-5x+8

Answer:

0 =-4.5X +49.5

x = 11

Step-by-step explanation:

x1 y1  x2 y2

1 45  3 36

(Y2-Y1) (36)-(45)=   -9  ΔY -9

(X2-X1) (3)-(1)=    2  ΔX 2

slope= -4  1/2    

B= 49  1/2    

Y =-4.5X +49.5    

Answer:

210 in³

Step-by-step explanation:

length = 10 in

Width = 7 in

Height = 3 in

Volume of rectangular prism = length * width * height

                                               = 10 * 7 * 3

                                                = 210 in³

Answer: Option D

210 in³

Volume of Rectangular prism = lwh

Height = 3in

Width = 7in

Length = 10in

Volume = 10(7)(3)

Volume = 210 in³

Must click thanks and mark brainliest

Answer:

halo

1. YW - chord

2. Q - center

3. WX - tangent line

4. W - point of tangency

5. ST - secant line

6. VQ - radius

7. TW - diameter

please mark brainliest???

The correct matches are,

1. YW - chord

2. Q - center

3. WX - tangent line

4. W - point of tangency

5. ST - secant line

6. VQ - radius

7. TW - diameter

In geometry, a diameter of a circle exists as any straight line segment that passes via the center of the circle and whose endpoints lie on the circle. It can also be described as the longest chord of the circle. Both descriptions exist also valid for the diameter of a sphere.

The correct matches are,

1. YW - chord

2. Q - center

3. WX - tangent line

4. W - point of tangency

5. ST - secant line

6. VQ - radius

7. TW - diameter

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Answer:

4

Step-by-step explanation:

2/5*3000 = 1200 seniors

then

3000 - 1200 = 1800 students not seniors

therefore

4/5* 1200 = 960 do not like rock climbing

and

9/10** 1800 = 1620 also do not like it:

"how many students are in favor of this idea?"

subtract the "don't likes" from 3000

3000 - (960+1620) = 420 like rock climbing:

3x-x+2=4

Step-by-step explanation:

here's the answer to your question

Answer:

3k + 0 = 3k

Step-by-step explanation:

Identity property of addition states that the sum of 0 and the term would result in the term.

∴ in this case, 3k + 0 will result in 3k.

~

Answer:

The side length is approximately 11.3 inches

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

128 = s^2

Take the square root of each side

sqrt(128) = sqrt(s^2)

11.3137085= s

The side length is approximately 11.3 inches

Answer:

11.3

Step-by-step explanation:

Formula for square: x^2 = A

Plug in:

x^2 = 128

√x^2 = √128

  x = 11.3

Hope this helped.

Answer:

c=6.31, a=50.28 degrees, B=75.72 degrees

Step-by-step explanation:

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The remaining parts of the triangle can be found as shown.

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ B}{\beta} =\dfrac{Sin\ C}{\gamma}[/tex]

where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,

Sin B is the angle and β is the length of the side of the triangle opposite to angle B,

Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

Given that the length of side a and b is 6 and 7.56, also, the measure of the angle γ is 54°.

Now, Using the law of cosine, we can write,

[tex]c =\sqrt{a^2 + b^2 -2ab\cdot \cos\gamma}[/tex]

[tex]c =\sqrt{(6)^2 + (7.56)^2 -2(6)(7.56)\cdot \cos(54^o)}[/tex]

c = √39.8297

c = 6.311

Now, using the sine law the ratio of the sides and angles can be written as,

[tex]\dfrac{\sin\alpha}{a} =\dfrac{\sin\beta}{b} =\dfrac{\sin\gamma}{c}[/tex]

[tex]\dfrac{\sin\alpha}{6} =\dfrac{\sin\beta}{7.56} =\dfrac{\sin (54^o)}{6.311}[/tex]

[tex]\dfrac{\sin\alpha}{6}=\dfrac{\sin (54^o)}{6.311}[/tex]

α = 50.2775°

[tex]\dfrac{\sin\beta}{7.56} =\dfrac{\sin (54^o)}{6.311}[/tex]

β = 75.726°

Hence, the remaining parts of the triangle can be found as shown.

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Answer:

1)9-7+x

2+x

2)8-2x+5x

8+3x

3)-x+3x-9

2x-9

4)4x-4x-6

-6

you have to group the like terms

I hope this helps and sorry if they are wrong

Answer:

452.16 cm²

Step-by-step explanation:

Given :-

To find :-

Solution :-

As we know that ,

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times {12}^{2} \\ = \pi \times 144 \\ = 3.14 \times 144 \\ = 452.16 {cm}^{2} \\ thank \: you[/tex]

Answer:

a reflection in the y axis followed by a translation 1 unit down

Step-by-step explanation:

Reflection over the y-axis then a unit down