a house purchased for 170828 is worth $73828 after 12 years. assuming that the house's value depreciated the same amount from year to year, what was it worth at the end of the year 4? Round to the nearest cent.​

Step-by-step explanation:

If you divide 1,000 by 2 since there are £2, you get 500. Multiply 500 by 25 and you got it!

(the answer would be 12,500)

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Answer:

  (d)  y = 1/2sin(2x)

Step-by-step explanation:

The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.

For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...

  y = 1/2sin(2x)

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Answer:

  4) -ln(2)/3

  5) x = 9

  6) x = 2

  7) x = -6

Step-by-step explanation:

4) e^(-3x) = 2 . . . . given

  -3x = ln(2) . . . . . take the natural log

  x = -ln(2)/3 . . . . divide by the coefficient of x

__

5) ln(3x -5) = ln(11) +ln(2)

  3x -5 = 11·2 . . . . . take antilogs

  3x = 27 . . . . . . . . add 5

  x = 9 . . . . . . . . . . divide by 3

__

6) log4(x -1) +log4(x +2) = 1

  (x -1)(x +2) = 4 . . . . . take antilogs

  x^2 +x -2 = 4 . . . . . . eliminate parentheses

  x^2 +x +1/4 = 6 1/4 . . . add 2 1/4 to complete the square

  (x +0.5)^2 = 6.25 . . . . write as a square

  x +0.5 = ±2.5 . . . . . . . take the square root

  x = -0.5 ± 2.5 = {-3, +2} . . . . . . x = -3 is an extraneous solution

  x = 2

__

7) 8^x = 4^(x -3)

  2^(3x) = 2^(2(x -3)) . . . . write using a common base of 2

  3x = 2(x -3) . . . . . . . . . . take logarithms base 2

  x = -6 . . . . . . . . . . . . . . .subtract 2x

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Answer:

  a) 3.18 years

  b) 13.52 years

  c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

  A = Pe^(rt)

  A/P = e^(rt)

  ln(A/P) = rt

  t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years

Answer:

Y=2x+4

Step-by-step explanation:

Y=Mx+b is the slope intercept formula

subtract 2x so you get -y=-2x-4. Then divide everything by-1 .

Answer:

Step-by-step explanation:

Chanclas

Answer:

$110.94

Step-by-step explanation:

221.88 divided by 2 is 110.94

Answer:

48 ounces.

Step-by-step explanation:

:) have a good rest of your day.

Answer:

[tex]g(2) = 3[/tex]

Step-by-step explanation:

Given

See attachment

Required

[tex]g(2)[/tex]

To solve this, we make use of:

[tex]g(x) = |7 - x^2|[/tex]

Because [tex]x \le 2[/tex]

i.e. [tex]2 \le 2[/tex]

So, we have:

[tex]g(2) = |7 - 2^2|[/tex]

[tex]g(2) = |7 - 4|[/tex]

[tex]g(2) = |3|[/tex]

Remove absolute brackets

[tex]g(2) = 3[/tex]

Answer:

25

Step-by-step explanation:

Answer:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]\cos(x)\tan(x)=\cos(x)[/tex]

On the interval [0, 2π).

First, we can subtract cos(x) from both sides:

[tex]\cos(x)\tan(x)-\cos(x)=0[/tex]

Factor:

[tex]\cos(x)\left(\tan(x)-1\right)=0[/tex]

Zero Product Property:

[tex]\cos(x)=0\text{ or } \tan(x)-1=0[/tex]

Solve for each case:

[tex]\cos(x)=0\text{ or }\tan(x)=1[/tex]

Using the unit circle:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}, \frac{3\pi}{2}\right\}[/tex]

However, since tangent isn't defined for π/2 and 3π/2, we remove them from our solutions. Hence:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

Answer:

6.25 hours

Step-by-step explanation:

30.5 - 24.25 = 6.25 hrs.

Answer:

x=12

Step-by-step explanation:

Since the triangles are congruent, you can use either B or D to solve for x.

7x+10=94

7x=94-10

7x=84

x=84÷7

x=12

Answer:

Constant Force F= ?

A= 5m/s²

M=9kg

According to the Question

A

[tex] \alpha [/tex]

1/m

A=F/m

So F=ma

F=5×9

F=45N

we look for m using the formula A=F/m

m=F/A

where A=3

F=45

M=?

So M=45/3

M=15kg

Answer:

Each person should pay $6.00

Step-by-step explanation:

First, add everyone's cost

8 + 4 + 7 + 5 =  24

Then, divide by 4

24 ÷ 4 = 6

Lastly, have a great day! :)

Answer: The histogram is skewered to the right (right-skewered)

Step-by-step explanation:

The peak veers to the left and the tail is towards the right.

The histogram given is right-skewed.

A histogram is a representation of the distribution of data with intervals.

We have,

Right-skewed and left-skewed are terms used to describe the shape of a data distribution.

A right-skewed (or positively skewed) distribution is one in which the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

A left-skewed (or negatively skewed) distribution is the opposite of a right-skewed distribution.

In this case, the tail on the left-hand side of the graph is longer or fatter than the tail on the right-hand side.

Now,

We see that the histogram given is right-skewed because the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

Thus,

The histogram given is right-skewed.

Learn more about histograms here:

https://brainly.com/question/16819077

#SPJ3

Answer:

They are adjacent angles

Answer:

https://rr.noordstar.me/83819a0f

Answer: B

Step-by-step explanation:

I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:

A - If it's skewed Mean wouldn't be used

C - If it's Symmetric IQR wouldn't be used

D - If it's skewed Standard Deviation wouldn't be used

Answer:

6 inches

Step-by-step explanation:

the formula for the volume of a rectangular prism is width*length*height.

Here we are asked to find the height when given a volume. The resultant equation is:

volume = w * l * h

192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:

192 cu.in./32 sq.in.= h inches

6 inches = height

Answer:

[tex]9.5 \sqrt{?} [/tex]

Answer: 4.12 km

Step-by-step explanation:

Use the Pythagorean theorem.  Name the hypotenuse (longest side) c and the bottom side b.  Then, simplify and solve for a.

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

a^2 = 17

a = square root of 17 or approx. 4.12

Please give brainliest!

Answer:

A the answer is a because i was just working on that rn

Step-by-step explanation:

Answer:

$165.8 ;

$223.83 ;

Henry would pay less for the tablet on the website.

Step-by-step explanation:

Given :

Regular price = $829

On website :

80% discount off the regular price :

(100 - 80)% * regular price

20% * 829

0.2 * $829 = $165.8

At store :

70% off regular price :

(100 - 70)% * 829

0.3 * 829

= $248.7

10% off sale price :

(100 - 10)% * $248.7

0.9 * 248.7

= $223.83

Henry would pay less for the tablet on the website.

Answer:

1.3 liters

Step-by-step explanation:

4 x 150 is 600

4 x 175 is 700

700 + 600 = 1300 milliliters

1300 milliliters = 1.3 liters  

Answer:

1.3 liters

Step-by-step explanation:

So first off, lets find the amount of milileters of lotion there is.

To do this, take 8, and divide it in half:

8/2 = 4. So we know that 4 bottles of lotion each contain 150 militers of lotion.

We know that the other 4 bottles each contain 175 milileters of lotion.

Next, lets multiply the 150 and 175 by the four bottles:

150x4

=

600

175x4

=

700

Now lets add these two values together, to find the total amount of lotion:

700+600

=

1300

Remember, this problem asked for liters of lotion, not milileters. Lets recall that 1000 milileters are equivelent to 1 liter:

1300/1000

=

1.3

This is your answer!

Hope this helps! :)

The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

The points are given as:

A = 2

B = 17

Point = 3/5

The location of the point is then calculated as:

Point = A + 3/5(B - A)

So, we have:

Point = 2 + 3/5(17 - 2)

Evaluate the product

Point = 2 + 9

Evaluate the sum

Point = 11

Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

Read more about number lines at:

https://brainly.com/question/4727909

#SPJ1