You buy a new computer for $2000. The computer decreases value by 25% each year. Given the equation V(t)=2000(.75)t , where V represents the computer's value in dollars and t represents the time in years. After how many years will the computer be worth half the original value? Give your answer to 3 decimal places.

Answer:

The slope of the line is negative. The y-intercept is 5. The slope of the line is -2/3.

Step-by-step explanation:

With 2 given points on the line that are whole numbers, you can find the slope of the line with the equation [tex]m=\frac{y2-x2}{y1-x1}[/tex]. The answer will tell you whether it's negative or positive. For example, [tex]m=\frac{-2-1}{4-0} =\frac{-3}{4}[/tex]. The slope is negative for the example. The y-intercept would be the point with 0 as the x-value: (0, -5).

Answer: 5/2x-7-3/4x=3/4x+14-3/4x

7/4x-7=14

7/4x-7+7=14+7

7/4x=21

(4/7)*(7/4x)=(4/7)*(21)

x=12

Step-by-step explanation:

Yeh so simpliy it. I you do something to one side, do it to the other.

(5/2)x - 7 = (3/4)x + 14

first get rid of the smallest value of x which is 3/4.

We need to change the denominate for this

(10/4)x -(3/4)x -7 = (3/4)x - (3/4)x +14

which becomes

(7/4)x - 7 = 14

then get rid of -7 by adding on both side

= (7/4)x  = 21

=  x = 12

ASK IF YOU NEED MORE HELP! ALGEBRA IS IMPORTANT!

Answer:tossing two coins once

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

angles in a triangle add up to 180, so:

let x be the third angle

[tex]x+95+55=180\\x + 150 = 180\\x = 30[/tex]

Answer:

DE is congruent to AB

DF is congruent to AC

FE is congruent to CB

Answer:  x   = √28

Step-by-step explanation:

a² + b² = c²         Use Pythagorean Theorem to find the missing length.  

x² + 6² = 8²      

x²+ 36 = 64         [Subtract 36 from both side]  

        x²= 28        

     √x² = √28     [solve the square root from both side]

       x   = √28  

Answer:

6y^-1

Step-by-step explanation:

I had this question on Khan Academy

Answer:

6y^-1

Step-by-step explanation:

Answer:

the answer is 3.35×10

[tex]3.35 \times 10 { - 8}^{?} [/tex]

that the answer

Answer:

i believe the first and second one

Step-by-step explanation:

the general exponential function looks like this: y=bx y = b x, where the base b is any positive constant. the base b could be 1, but remember that 1 to any power is just 1, so it's a particularly boring exponential function!

good luck :)

hopefully, this helps

have a great day !!

Answer:

113.1cm aka 113

Step-by-step explanation:

9514 1404 393

Answer:

  52°, 40°, 88°

Step-by-step explanation:

Let x represent "one angle". This is 30% larger than "the other", so we have ...

  x = "the other" × (1 +30%)

  x/1.30 = "the other"

If x is 36° smaller than the third, then the third is x+36.

__

The sum of the angles is 180°.

  x + x/1.3 + (x +36) = 180

  x(2 +1/1.3) = 144

  x = 144/(2 +1/1.3) = 52

  x/1.3 = 52/1.3 = 40

  x +36 = 88

The angles of the triangle are 52°, 40°, and 88°.

Answer:

A

≈

50.27

ft²

Step-by-step explanation:

when the radius is 4 ft the area is 50.27 ft squared

Answer:

50.24

Step-by-step explanation:

Because i know

Answer:

the shape has ,9 edges,,,

Answer:

o         Identify some basic parts of a circle, such as the radius and diameter

o         Calculate the circumference of a circle

o         Calculate the area of a circle

In this article, we will consider a geometric figure that does not involve line segments, but is instead curved: the circle. We will apply what we know about algebra to the study of circles and thereby determine some of the properties of these figures.

Introduction to Circles

Imagine a point P having a specific location; next, imagine all the possible points that are some fixed distance r from point P. A few of these points are illustrated below. If we were to draw all of the (infinite number of) points that are a distance r from P, we would end up with a circle, which is shown below as a solid line.

Thus, a circle is simply the set of all points equidistant (that is, all the same distance) from a center point (P in the example above). The distance r from the center of the circle to the circle itself is called the radius; twice the radius (2r) is called the diameter. The radius and diameter are illustrated below.

The Circumference of a Circle

As with triangles and rectangles, we can attempt to derive formulas for the area and "perimeter" of a circle. Unlike triangles, rectangles, and other such figures, the distance around the outside of the circle is called the circumference rather than the perimeter-the concept, however, is essentially the same. Calculating the circumference of a circle is not as easy as calculating the perimeter of a rectangle or triangle, however. Given an object in real life having the shape of a circle, one approach might be to wrap a string exactly once around the object and then straighten the string and measure its length. Such a process is illustrated below.

Obviously, as we increase the diameter (or radius) of a circle, the circle gets bigger, and hence, the circumference of the circle also gets bigger. We are led to think that there is therefore some relationship between the circumference and the diameter. As it turns out, if we measure the circumference and the diameter of any circle, we always find that the circumference is slightly more than three times the diameter. The two example circles below illustrate this point, where D is the diameter and C the circumference of each circle.

Again, in each case, the circumference is slightly more than three times the diameter of the circle. If we divide the circumference of any circle by its diameter, we end up with a constant number. This constant, which we label with the Greek symbol π (pi), is approximately 3.141593. The exact value of π is unknown, and it is suspected that pi is an irrational number (a non-repeating decimal, which therefore cannot be expressed as a fraction with an integer numerator and integer denominator). Let's write out the relationship mentioned above: the quotient of the circumference (C) divided by the diameter (D) is the constant number π.

We can derive an expression for the circumference in terms of the diameter by multiplying both sides of the expression above by D, thereby isolating C.

Because the diameter is twice the radius (in other words, D = 2r), we can substitute 2r for D in the above expression.

Thus, we can calculate the circumference of a circle if we know the circle's radius (or, consequently, its diameter). For most calculations that require a decimal answer, estimating π as 3.14 is often sufficient. For instance, if a circle has a radius of 3 meters, then its circumference C is the following.

The answer above is exact (even though it is written in terms of the symbol π). If we need an approximate numerical answer, we can estimate π as 3.14. Then,

Interested in learning more? Why not take an online class in Pre-Algebra?

The symbol ≈ simply means "approximately equal to."

Practice Problem: A circle has a radius of 15 inches. What is its circumference?

Solution: Let's start by drawing a diagram of the situation. This approach can be very helpful, especially in situations involving circles, where the radius and diameter can easily be confused.

Step-by-step explanation:

Answer:

56cm

Step-by-step explanation:

The radius is half the diameter so times the radius by two to find the width of the diameter. 28 x 2 = 56cm

Answer:

Oh yes, wait a minute Mister Postman

Step-by-step explanation:

oh yes, wait a minute Mister Postman yes, waiT yes, wait a minute Mister Postman a  Mister Postman yes, wait a minute Mister Postman Dixie Normus

Answer:

$29

Step-by-step explanation:

8x9=71

100-71=29

Answer:

28

Step-by-step explanation:

It's 28 because 9 x 8 = 72

So 100 - 72 = 28

Answer:

$15

Step-by-step explanation:

Answer:

She will save $14.

Step-by-step explanation:

Because the dress is 35% off, the savings value will be 40*0.35. That will give you a savings total of 14 dollars.  

Answer:8n

Step-by-step explanation:

Answer:

in fraction form it is -4/9 and in decimal form it is -0.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{The shaded area is the area of the square minus the area of the circle.}\\ \\ A=28^2-\pi 14^2\\ \\ A=784-196\pi\\ \\ A=784-196(3.14)\\ \\ A=168.56in^2[/tex]

Answer:

16.6 in

Step-by-step explanation:

182^2﹣72^2≈ 16.58312 round it and you get 16.6 in

Answer:

One

Step-by-step explanation:

An equilateral triangle has equal side lengths.

With the given information, you can construct one equilateral triangle, with the sides measuring 7cm each.

The sides of the equilateral triangle can't be mixed up, they must stay the same.

Hope this helps.

Answer:

PQ = 20

Step-by-step explanation:

Theorem:  The length of the median of a trapezoid is the average of the base lengths.

[tex]\frac{PQ + 12}{2} = 16[/tex]

PQ + 12 = 32

PQ = 20

See how easy that is if you know the theorem!

I don't know the answer please

Answer:

Both slopes are as follows 1. 2 2. 2/5

Both equations are like

1.

16-12= 4

-----------=2

4-2=    2

=====

2.

10-4=  6

------------=2/5

20-5= 15

The Y intercept for both is as follows

1. 8

2. 2

I may be wrong on something but likely not and if I am sorry

Answer:

S = 2D - 5

S + D = 43

D = 16, S = 27

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

8*3=24

Answer:

uh line o

Step-by-step explanation: can you provide an image?

Step-by-step explanation:

2x^2+6x=36

x^2+3x=12

x^2+3x-12=0

x=(-3+(57)^0.5)/2 or x=(-3-(57)^0.5)/2