The value of a company's equipment is $35,000
and decreases at a rate of 6% per year. Write a
function to model this situation, then find the value
of the company's equipment after 3 years.

Answer:

Interesting... go on.

Step-by-step explanation:

Answer:

t + c = 623

t = c + 135

thomas has 379 songs downloaded, and carl has 244

Step-by-step explanation:

togheter they have 623 songs, aka the sum of thomas (t) and carl (c) is 623.

t + c = 623

thomas has 135 more than Carl. so Carl plus 135 is equal to thomas

t = c + 135

now you can solve it:

t + c = 623

(c+135) + c = 623

c + c = 488

2c = 488

c = 244

carl has 244 songs downloaded

t  + 244 = 623

t = 379

thomas has 379 songs downloaded

The system of equations represents t + c = 623 and t = c + 135 and Tomas has 379 while Carl has 244 downloaded.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

As per the given,

Together they have 623 songs downloaded.

t + c = 623

Tomas has 135 more songs downloaded than Carl.

t = c + 135

By substitution,

c + 135 + c = 623

2c = 488

c =244

And , t = 244 + 135 = 379

Hence "The equations in the system show that Tomas has 379 while Carl has 244 downloaded and that t + c = 623 and t = c + 135 are represented".

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Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

Answer:

y = 36x - 18

Step-by-step explanation:

(1,18) (2,54)

y2 - y1 / x2 - x1

54 - 18 / 2 - 1

36 / 1

= 36

y = 36x + b

18 = 36(1) + b

18 = 36 + b

-18 = b

Answer:

15

Step-by-step explanation:

miranda - 2x5=10

trudy - 5x5=25

25-10=15

Answer:

The answer is "[tex](x + 8)^2 = 58[/tex]"

Step-by-step explanation:

Let the equation is:[tex]x^2+16x=-6[/tex]

by adding and subtracting 64 then:

[tex]x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58[/tex]

Answer: y=3x

Step-by-step explanation:

Remember rise over run so go up until the next perfect cross and over. In this case you go up 3 and over 1

Hope this helps

Answer: x>9

Step-by-step explanation:

3 < x/2+1  

switch sides: x/2+1 > 3

Multiply sides by 3: 3x/2+1 > 3*3

Simplify: x>9

Answer:

It would be Choice B, since it divides to -1.5.

This is the same as when -3/2 is simplified.

Choice A would be wrong, since it would give you 1.5, due to a double negative = a postive, same with Choices C and D.

Answer:

3/-2 is the only correct solution!

Step-by-step explanation:

Answer:

E and F

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{m+n}[/tex] , then

[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = [tex]5^{4+x}[/tex]  → F

or

[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = 625 × [tex]5^{x}[/tex] → E

Answer:

See the steps below:)

Step-by-step explanation:

Expression is equivalent to (2x+3)(3x²−2x+5) is 6x³+5x²+4x+15.

An expression can be of many types numerical expressions, Algebraic expressions.We can also form these mathematical expressions from a given statement or by observing a real world scenario.

Equivalent expressions are same expressions in different forms.To check whether an expression is equivalent to another expression or not we just need to do some algebraic manipulations.Like distributing or taking common and other algebraic and arithmetic operations.

According to the given problem we have to write an expression which is equivalent to the expression (2x+3)(3x²-2x+5).

(2x+3)(3x²-2x+5)

= (2x+3)(3x²-2x+5)

=2x(3x²-2x+5)+3(3x²-2x+5)                                (now we will distribute)

=6x³-4x²+10x+9x²-6x+15

=6x³+5x²+4x+15.

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Answer:

Simplified it would be 11x^2y^2 - 4xy^

Answer:

11x²y³ - 4xy²

Step-by-step explanation:

is the answer if simplified.

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

Answer:

x= −3 and y= 4

not sure if this is what your looking for tho

Step-by-step explanation:

Answer:

The answer is 5.5 because half of 11 is 5.5 and diameter is half of circumference.

Answer:

5.5

Step-by-step explanation:

diameter=11

radius = diameter÷2

r=11÷2

radius=5.5

Answer:

4

Step-by-step explanation:

Number of brownies = 1 dozen

1 dozen = 12

Fraction of brownies that had nut = 2 /6

Hence, Number of brownies dad doesn't eat :

Fraction that had nuts * number of brownies

2/6 * 12

1/3 * 12

= 4

Answer: Therefore, the volume of cylinder is 1356.5 cubic inches.

Step-by-step explanation: First I took an ESTIMATE and then after I did my estimate I did the real deal, I took everything I knew and put it all together.

Answer:

12*8.49*8.49 = 8649612in^3

Step-by-step explanation:

Answer:

w=31.5

Step-by-step explanation:

w proportional to y

w=ky

k is a constant

k=w/y

w1/y1=w2/y2

w1=14,w2=?,y1=4,y2=9

14/4=w/9

cross multiply and divide by 4

w=14×9/4

w=31.5

1,873

Step-by-step explanation:

Answer:

1) 69 2) 69 3) 60 4) 60 5) 51

Step-by-step explanation:

Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.

For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.

Hope this helps you in some way. if not, sorry i failed you.

Answers

Be sure to use the actual degree symbol instead of typing in "degrees" after each number.

========================================================

Explanation:

To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees

The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)

------------------------

Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary

(angle1)+(angle2) = 180

(111)+(angle2) = 180

angle2 = 180-111

angle 2 = 69 degrees

This method is used to prove the vertical angles theorem is always true.

-------------------------

Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3

y+82 = 142

y = 142-82

y = 60

angle 3 = 60 degrees

Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.

---------------------------

Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees

---------------------------

Let z = measure of angle 5

Focusing on the smaller triangle in the middle, we can say,

(angle2)+(angle4)+(angle5) = 180

(69) + (60) + (z) = 180

z+129 = 180

z = 180-129

z = 51

angle 5 = 51 degrees

Answer: The ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]

Step-by-step explanation:

Given, In right triangle ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29.

To find: The  ratio represents the cosine of ∠H.

According to trigonometry, the cosine of x = [tex]\frac{\text{side adjacent to x}}{\text{Hypotenuse}}[/tex]

So cosine of [tex]\angle H=\frac{HI}{HJ}[/tex]

Cosine of [tex]\angle H=\frac{21}{29}[/tex]

hence, the ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]

Answer:

Over time, the function is DECREASING. Cho ran at a faster rate during segment K.

Step-by-step explanation:

Answer:

7.33 * 10^-11 s

Step-by-step explanation:

Period, T = 1 / f

c = fλ

λ = 2.20 × 10^–2 m

c = speed of light = 3 * 10^8 m

f = c / λ

f = 3 * 10^8 ÷ 2.20 × 10^–2 m

f = (3/2.2) * 10^(8-(-2))

f = 1.364 * 10^10

T = 1/f

T = 1 / 1.364 * 10^10

T = 7.33 * 10^-11 s

Answer:

No, It is not.

Step-by-step explanation:

Step 1: Divide the 2.45 by 4 (We are doing this to find the difference between them so we can find out what to do next.)

[tex]2.45 \div 4\\\\= 0.6125[/tex]

Step 2: Multiply 0.6125 to 6 (Now, that we've found what 1 magazine cost according to the first data, we are multiplying it by 6 because if you multiply that to 4 the answer will be 2.45. So, if we multiply 6, it will show us if they are both proportional, the same.)

[tex]0.6125 \times 6\\\\= 3.675[/tex]

Therefore, these two prices are not proportional.

Answer:

y<-1

Step-by-step explanation:

This exponential function will never approach y=-1, but it goes "under" the line of -1, so it is y<-1

Answer:

Step-by-step explanation:

The length of the ladder is the length of the hypotenuse of the right triangle formed. Since the height up the building is based on the distance the ladder is from the base of the building, and that distance is x, then the height up the building is x + 7. So what we have is a right triangle with one leg measuring x, the other leg measuring x + 7, and the hypotenuse measuring 13. Set up using Pythagorean's Theorem:

[tex]13^2=(x+7)^2+x^2[/tex] and do some simplifying. The left side is easy since 13-squared is 169; the right side not so much. We first have to expand that set of parenthesis by multiplying x + 7 by itself twice to get a second degree polynomial:

[tex](x+7)(x+7)=x^2+14x+49[/tex] and now we have:

[tex]169=x^2+14x+49+x^2[/tex] which simplifies down a bit to

[tex]169=2x^2+14x+49[/tex]

The only way to solve this for x, the height up the side of the building, is to factor. In order to do that, everything has to be on one side of the equals sign, setting the whole messy thing equal to 0:

[tex]2x^2+14x+49-169=0[/tex] and

[tex]2x^2+14x-120=0[/tex]. Begin by factoring out a 2:

[tex]2(x^2+7x-60)=0[/tex] and then factor the remaining quadratic using whatever method you are currently using in class to solve for x. Doing this will give that

x = -12 and 5. Since a side length will never be negative, we determine that x = 5 which is the distance between the bases of the buildings, and the height up the building where the ladder hits it is 12.

Answer:

f(-4) is basically just saying that you need to use the function given while x = -4.

The function given:

f(x) = -8(5-x)

We see that f(-4) means that x has to be -4, so we can substitute it in:

f(-4) = -8(5-(-4))

f(-4) = -8(9)

f(-4) = -72

Therefore, f(-4) is -72.