Frank purchased an air cooler for $3,000 in the year 2000. Its value depreciates by 8% each year. What is the value of the air cooler in 2003?

Answer:

g. 92*

h. 88*

m. 89*

k. 91*

Step-by-step explanation:

To find h and m: All of the angles on a straight line added up equals 180*. So if there are two angles, the sum of them must equal 180* (angle A + angle B = 180*)

So in this case we have angle h + 92* = 180* using algebra, we subtract 92 from both sides and we get angle h = 88*

If you want to check, add 92 + 88 = 180.

Also angle m + 91* = 180*. Same thing as above, subtract 91 from both sides and we get angle m = 89*

If you want to check, add 91 + 89 = 180.

When you have two straight lines intersecting (crossing), the opposing angles at that crossing are going to be equal. So in this case angle g is opposite from the anbgle that we know is 92*, so angle g is also 92*. Same thing for angle k, we know the angle opposite angle k is 91*, so we know that angle k is also 91*.

Answer:

[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Derivative Notation

Derivative of a constant is a 0

Basic Power Rule:

Derivative Rule [Quotient Rule]:                                                                               [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]

[tex]\displaystyle x = -3[/tex]

Step 2: Differentiate

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

[tex]Area = 93.21in^2[/tex]

Step-by-step explanation:

Given

[tex]\theta \to[/tex] vertex angle

[tex]\alpha \to[/tex] base angle

[tex]\theta = 3\alpha[/tex]

[tex]l = 14in[/tex] -- congruent sides

Required

The area of the triangle

First, calculate the angles

[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle

Substitute [tex]\theta = 3\alpha[/tex]

[tex]3\alpha + \alpha + \alpha = 180^o[/tex]

[tex]5\alpha = 180^o[/tex]

Divide both sides by 5

[tex]\alpha = 36^o[/tex]

Recall that: [tex]\theta = 3\alpha[/tex]

[tex]\theta = 3 * 36^o[/tex]

[tex]\theta = 108^o[/tex]

The area is then calculated as:

[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]

[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]

[tex]Area = \frac{1}{2}*196 *0.9511[/tex]

[tex]Area = 93.21in^2[/tex]

Answer:

answer 1/2

Step-by-step explanation:

y-3=-2(x-4)

y-3=-2x+8

y=-2x+11

y=mx+c

m= slope which is -2

because it perpendicular It became 1/2

Answer:

1 is the answer

Step-by-step explanation:

10^0 on the calculator is 1

Step-by-step explanation:

cos F = HF/FG

cos 52° = x/(4.3)

0.6 = x/4.3

=> x = 4.3 × 0.6

x = 2.58

so the length of HF = 2.58 = 2.6 ft

Answer:

[tex]\frac{2}{5}[/tex] of the jar contains red gumballs

Step-by-step explanation:

Hi there!

What we know:

To find the fraction of red gumballs in the whole jar, multiply the fractions:

Red gumball fraction × Total gumball fraction

[tex]= \frac{3}{5}*\frac{2}{3}\\= \frac{2}{5}[/tex]

Therefore, red gumballs contain [tex]\frac{2}{5}[/tex] of the whole jar.

I hope this helps!

Answer:

52ft

Step-by-step explanation:

For the Bots:

NO LINKS

Question:

What is the area of the

rectangle?

(rectangle is 5/7 ft wide and 3 1/2 ft long)

Enter your answer as a mixed number in simplest form in the box.

Answer:

2 1/5

Step-by-step explanation:

Because we are finding the area we are multiplying and the formal is L x W = Area so the Length is 3 1/2 and the width is 5/7 so we multiply them and we get: 2.5

3 1/2 x 5/7 = 2.5 let make it a mixed number  5/2 let simplify it now 5 divided by 2 = 2 1/5

is the answer

Answer:

b = 5

Step-by-step explanation:

This triangle is a 30 - 60 - 90 special right triangle

As you can see in the image provided below the longer leg is equal to the short leg times √3

This means that the short leg is equal to the long leg divided by √3

Thus, b = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex] which is equivalent to 5

Answer:

60%

Step-by-step explanation:

Im almost positive this is right if not sorry have a blessed day :)

Answer:

y = -27.6

Step-by-step explanation:

To solve for y, you need to isolate the variable on one side of the equation. [tex]5(y+25)=-13[/tex] ⇒ [tex]y + 25 = -2.6[/tex] ⇒ [tex]y = -27.6[/tex].

Answer:

-27.6

Step-by-step explanation:

[tex]5(y + 25) = -13[/tex]

First, distribute the problem.

[tex]5y + 125 = -13[/tex]

Secondly, subtract 125 from -13 and 125.

[tex]125 - 125 = 0[/tex]

[tex]-13 - 125 = -138[/tex]

Now, we are left with 5y = -138.

Lastly, we divide -138 by 5.

[tex]-138 / 5 = -27.6[/tex]

Therefore, y is -27.6.

Here's an attachment to make this explanation clearer.

Answer:

The answer to your question is 26.75

Step-by-step explanation:

Top triangle = 3.5 x 9 = 31.5. Since it is a triangle, it has to be split in half (15.75).

Bottom left triangle = 2 x 2 = 4. Since this is also a triangle: 4 split in half is 2.

Bottom square = 2 x 2 = 4.

Bottom right triangle = 5 x 2 = 10. Since it is a triangle, 10 / 2 = 5.

After you get the area of each individual shape, add them together to get 26.75.

.

Answer:

exponential

Step-by-step explanation:

This is exponential because each time the y value is being multiplied by 5 (consistent ratio)

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Answer: 28.6

Step-by-step explanation:

Answer: √ 4A /π or  13.996450848446

Step-by-step explanation:

D = 2R

C = 2πR

A = πR2

where:

R: Radius

D: Diameter

C: Circumference

A: Area

π: 3.14159

Answer:

76

Step-by-step explanation:

n a competitive exam of 40 questions, +3 is awarded for a correct answer and -1 for every wrong answer. Find the total score if a student had 11 wrong answers in his attempt of all questions.

Answers gotten wrong = 11

answers gotten right = 40 - 11 = 29

total score = (point for correct answer x number of correct answer) +  (point for wrong answer x number of wrong answer)

(+3 x 29) + (-1 x 11) = 76

Answer:

64

Step-by-step explanation:

Dababy approved.

Answer:

Step-by-step explanation:

39.53 + 90 + x = 180

129.53 + x =180

x = 180 - 129.53

x = 50.47

Answer: the savings account one is linear, the enrollment of students is linear, the investment is exponential as well as the cars value, the speed of the truck is neither (not fully sure) and the temperature outside is linear

Step-by-step explanation: linear means in a straight line without curves meaning if the question mentions percentages it’s automatically not linear as percentages tend to curve. Exponential means it curves which has direct connections to percentages and getting multiplied by

Hope this helps you

Answer:

18

Step-by-step explanation:

cos 49=x/27

27 cos 49= x

x = 17.7

approximately 18

[tex]\text{State Income Tax Rate: }6.65\%, \\\text{Deduction: }\$7,702.03[/tex]

Answer:

State income tax: [tex]6.65\%[/tex]

Step-by-step explanation:

Based on the interface, it seems like you have chosen lawyer as a career with the given salary of $115,820.

The chart given for state income tax is broken into two categories:

$21,400-$80,650 => 6.45%

$80,651-$215,400 => 6.65%

Since the chosen career's salary is $115,820, the career falls into the second range of 6.65% state income tax.

The deduction is simply the amount of money taxed. For a 6.65% state income tax, the deduction can be found from:

[tex]115,820\cdot 0.0665=\boxed{\$7,702.03}[/tex]

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