An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that
the value would increase by 10% every year. Which of the following functions can be used to model the
estimated dollar value of the chair years after purchase?
(A) f(t) = 500(0.1)
(B) f(t) = 500(0.9)
(C) f(t) = 500(1.1)
(D) f(t) = 500(10)
(E) f(t) = 510+

Answer:

[tex](a)\ f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)=0[/tex]

Step-by-step explanation:

Given

The attached table

[tex](a)\ f^{-1}(-15)[/tex]

This represents an inverse function.

So, we look into x row for its value.

i.e.

[tex]f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)[/tex]

Just like (a)

[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows

[tex]f(9) = 11[/tex]

So:

[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]

[tex]f^{-1}(4) + f(9)=0[/tex]

Answer:

[tex]area = (7 \times 1) + (5 \times 1) + (8 \times 1) \\ = 7 + 5 + 8 \\ = 20 \: {m}^{2} [/tex]

Answer:

E. 12 m

Step-by-step explanation:

b = 2×A/h

= 2×78/13

= 156/13

= 12 m

Hope this helps you out in your journey for the test

Answer:

the smallest circle one

center => (0,1)

radius = √3 = 1.73

Graph C  best represents the equation x² + (y-1)²=3². The given equation is compared by the standard equation to form a graph.

If a circle O has a radius of r units and its center is at (h, k) in the coordinate plane, then its equation is:

(x-h)^2 + (y-k)^2 = r^2

The given data equation is;

x² + (y-1)²=3²

Compare the standard equation with the given equation, we get;

h=0

k=1

r=3

Graph C  best represents the equation x² + (y-1)²=3².

Learn more about equation of a circle here:

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Answer:

88 units

Step-by-step explanation:

The required perimeter is 88 units.

Answer:

m∠G ≈ 41°

Step-by-step explanation:

The value of angle G will be approximately 41.4 °

The square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.

c² = a² + b² - 2ab cos[tex]\rm \gamma[/tex]

Here in triangle EFG ,

To find angle G

a = 12

b=10

c=8

8² = 12² + 10² - 2*12*10 cos[tex]\rm \gamma[/tex]

64 = 144 + 100 -240 cos    [tex]\rm \gamma[/tex]

64-244 = -240 cos[tex]\rm \gamma[/tex]

-180 = -240 cos[tex]\rm \gamma[/tex]

180/240 = cos [tex]\rm \gamma[/tex]

3/4 = cos [tex]\rm \gamma[/tex]

Therefore angle G will be approximately 41.4 °

To know more about law of cosine

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Answer:

24 units²

Step-by-step explanation:

Top triangle: 1/2x2x4=4

Main rectangle: 2x4=8

Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12

4+8+12=24

Answer:

2+2=4

Step-by-step explanation:

I don't even know why this is a question

Answer:

2+2  is 4 ok tell ur thecher it is four

Step-by-step explanation: lol

Step-by-step explanation:

This is a familiar conversion problem:

[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]

[tex] = 1.95 \times {10}^{15} \: miles[/tex]

Answer:

see below

Step-by-step explanation:

3.3 × 10^2  light years

one light year is 5.9 × 10^12 miles

you need to multiple these two values

3.3 × 10^2  light years  ×  5.9 × 10^12 miles/light year =

=     (3.3 × 5.9) × 10^2 × 10^12

=     19.47 × 10^(2 + 12)

=     1.947 × 10^1 × 10^14

=     1.947 × 10^15 miles

Answer:

4

Step-by-step explanation:

Answer:

12 = 2 × 2 × 3

32 = 2 × 2 × 2 × 2 × 2

Greater Common Factor = 2 × 2 = 4

Answer:

15

Step-by-step explanation:

To find the answer you multiply the length by the width.

5×3=15

Answer:

5

Step-by-step explanation:

Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.

Assuming this ratio is consistent, (1/4)*20 is 5.

In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.

Hope it helped, and have a beautiful day/night! <3

Answer:

68.7

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Slope = delta y/delta x

[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]

Slope = (-3-3)/(1-2)

Slope = -6/-1

Slope = 6

Answer:

6

Step-by-step explanation:

Given :-

And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.

Substituting the respective values :-

[tex]:\implies[/tex] m = y₁ - y₂/ x₁ - x ₂

[tex]:\implies[/tex] m = -3 -3 / 1 - 2

[tex]:\implies[/tex] m = -6/-1

[tex]:\implies[/tex] m = 6

Hence the slope of the line is 6.

Answer:

15

Step-by-step explanation:

Answer:

Plot a point at (0,5) the plot a point at (1,8) (2,11) etc...

Step-by-step explanation:

Answer:

For number one do 13+13 and then 21+21 and 8+8 so you would get 16 for 8+8 and 21+21 is 41 so 41+16 is 57 and then 13+13 is 26 so 57+26 and then your answer is going the be the volume

Answer: 352

Step-by-step explanation:

Answer:

8111.5

Step-by-step explanation:

Deduct for thousand eleven hundred and a half from twelve thousand twelve hundred and twelve

Rewriting the above question in figure :

4000 + 100 + 0.5 = 5100.5

12000 + 1200 + 12 = 13212

13212 - 5100.5 = 8111.5

= 8111.5

Answer:

Step-by-step explanation:

a = 3

b = 3

c  = 1

Discriminate = sqrt(b^2 - 4ac)

Discriminate = sqrt(9 - 4*3*1)

Discriminate = sqrt(9 - 12)

Discriminate = sqrt(-3)

What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.

You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.

Answer:

2584

Step-by-step explanation:

height of 19 inches,

a width of 8 inches, and a length of 17 inches

17 times 19 times 8

9514 1404 393

Answer:

Step-by-step explanation:

What to do:

__

When you plot 3 points, A, B, C, you can join them 3 ways: AB, AC, BC. The three line segments make a triangle

Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196

196 + 280 = 476

Final answer = 476

Given:

The equation is:

[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]

To find:

The value of y.

Solution:

We have,

[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]

On simplification, we get

[tex]192=6000\left(0.02\times 1.6-0.02\times 4y+0.08y\right)[/tex]

[tex]192=6000\left(0.032-0.08y+0.08y\right)[/tex]

[tex]192=6000\left(0.032\right)[/tex]

[tex]192=192[/tex]

Since LHS=RHS and the equation is free from the variable y, therefore the given equation is true for all real values of y.

Hence, all real values of y are solutions.