15) A new BMW decreases in value exponentially after it is purchased. If a new BMW is valued at $55,000 and
depreciate at a rate of 22% a year, what is the value after 4 years? After 8 years)

Answer:

Step-by-step explanation:

Reference angle in quadrant I,

θ' = θ

Reference angle in quadrant II,

θ' = 180° - θ

Reference angle in quadrant III,

θ' = θ - 180°

Reference angle in quadrant IV,

θ' = 360° - θ

13). θ = 315°

Since, the given angle is in the 4th quadrant,

Reference angle θ' = 360° - 315°

                                 = 45°

14). θ' = (620° - 540°)

         = 80°

Reference angle = 80°

15). θ' = 630° - θ

          = 630° - 580°

          = 50°

Reference angle = 50°

Answer:

f(-3) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

Step 2: Evaluate

Answer:

A and D

Step-by-step explanation:

The two triangles that are congruent by ASA is discussed below.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. "Congruent" refers to things that are precisely the same size and shape.

Angle-Side-Angle refers to the ASA Congruence rule.

According to this rule, two triangles are said to be congruent if any two of their respective angles and the side that is included between them are equal to the corresponding angles and the included side of the other triangle.

For example, there are ABC and DEF in which ∠ B = ∠ E, ∠ C = ∠ F, and BC = EF

Then, the triangle that Δ ABC ≅ Δ DEF by ASA congruence rule.

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ5

Answer:

45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jocelyn was attempting to find out how much she will be charged per download. She has the fraction upside down. To find the amount of money per download, the fraction should be $12/3downloads to get $4/1download. That is the slope of the equation, the rate of change or, for us, the fact that your cost will go up $4 for every single video you download. The equation would then be

y = 4x

The way she has it, we are paying only a quarter for a download. If that be the case, for 3 downloads we would only be paying .75, but it says we pay $12, so we know something is wrong right there.

Answer:

The answer is A

Step-by-step explanation:

Answer:

66.4

Step-by-step explanation:

tan(39)=x/82

x=tan(39)×82

x=66.4 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

here's the answer to your question

Answer:

trueeeeeeeeeeeeeeeeeee

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Explanation:

1/2 = 4/8 after multiplying top and bottom by 8

So the mixed number 7  1/2 is the same as 7  4/8

We can convert to an improper fraction like so

7  4/8

7 + 4/8

7*(8/8) + 4/8

56/8 + 4/8

(56+4)/8

60/8

Notice how dividing 60 over 8 leads to 7 remainder 4. Think of it like having 60 cookies and you want to share them amongst 8 friends. Each friend gets 7 whole cookies (7*8 = 56 taken so far) and then we have 60-56 = 4 left over as the remainder.

Through similar steps, you should find that the mixed number 1  7/8 converts to the improper fraction 15/8.

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

To rephrase the problem with improper fractions would be to say:

"The electrician needs to buy 60/8 feet of wire. There are 15/8 feet of wire in each spool. How many spools should the electrician buy?"

Let x be the answer to that question.

We multiply the number of spools (x) by the amount of feet of wire per spool (15/8) to get the expression (15/8)x

Set this equal to the target 60/8 and solve for x

(15/8)x = 60/8

15x = 60 .... multiply both sides by 8 to clear out the fractions

x = 60/15

x = 4

The electrician needs to buy exactly 4 spools

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

A different approach could have us convert each mixed number into decimal form

7  1/2 = 7 + 1/2 = 7 + 0.5 = 7.5

1  7/8 = 1 + 7/8 = 1 + 0.875 = 1.875

So the electrician needs to buy 7.5 ft total and each spool has 1.875 ft of wire.

Using the same idea as before, we would then have,

1.875x = 7.5

x = (7.5)/(1.875)

x = 4

that's a point slope form so

y +5 = 2(x -4)

Answer:

A, [tex]{x | x<-2}[/tex]

Step-by-step explanation:

We have the inequality as

[tex]3x<-6[/tex]

We can simplify this inequality a little bit more by dividing 3 from both sides.

That gets us

[tex]x<-2[/tex]

We can see the only answer that has this is A.

Answer:

E:0.9744

Step-by-step explanation:

Answer: E) 0.9744

Explanation:

This is something you'll need a calculator for. As far as I know, there isn't a clean formula that will allow you to compute this by hand, and get something like sqrt(3)/2. There is a way to find the decimal value by hand, but it will require knowledge of Taylor polynomials and it will take a very long while to compute the value. So again, it's better to use a calculator. When using a calculator, make sure it's in degree mode. You can check by computing cos(60) and you should get 0.5

Answer:

−7d−8

Step-by-step explanation:

Subtract 8d from d.

Answer:

288*pi

Step-by-step explanation:

Area=2*pi*(24)^2*(90/360)=288*pi

Explanation in pictures.

Hope this helps!! Have a good day!

Answer:

yes please, ask the question

Answer:

wqhg

Step-by-step explanation:

its situated in u.s, in quahog , rhode island

Answer:

cost of a taco: $1.25

cost of a burrito: $2.50

Step-by-step explanation:

Let the cost of a taco be $t and the cost of a burrito be $b.

t +3b= 8.75 -----(1)

4t +2b= 10

Divide both sides by 2:

2t +b= 5

Making b the subject of formula:

b= 5 -2t -----(2)

Substitute (2) into (1):

t +3(5 -2t)= 8.75

Expand:

t +3(5) +3(-2t)= 8.75

t +15 -6t= 8.75

t -6t= 8.75 -15

-5t= -6.25

t= -6.25 ÷(-5)

t= 1.25

Substitute t= 1.25 into (2):

b= 5 -2(1.25)

b= 5 -2.5

b= 2.50

Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.

Answer:

X = 50; Y = 50

Answers are the same by following the correct order of operations.

Step-by-step explanation:

This problem deals with the correct order of operations. Multiplication is done before addition.

22 * 2 + 6 = X

44 + 6 = X

X = 50

6 + 22 * 2 = Y

6 + 44 = Y

Y = 50

The answers are the same despite the order in which the operations were written since by following the correct order of operations, you must do the multiplication first in each chase.

Answer: 19 yards

Step-by-step explanation: 9.5x2=19

Answer:

Sorry if i'm wrong.

=6x² + 16x - 2

Answer:

x³-7x-6

Step-by-step explanation:

Find the products of the factors

(x+1)(x+2)(x-3)

x²+3x+2(x-3)

x³+3x²+2x-3x²-9x-6

x³-7x-6

Answer:  Choice D

15(cos85° + i sin85°)

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

Explanation:

Let's say we had these two general complex numbers, which are in polar form.

[tex]z_1 = r_1*\left(\cos(\theta_1)+i*\sin(\theta_1)\right)\\\\z_2 = r_2*\left(\cos(\theta_2)+i*\sin(\theta_2)\right)\\\\[/tex]

We can abbreviate them into the shorthand form

[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\[/tex]

The notation "cis" stands for "cosine i sine".

Now that we have those complex numbers set up, multiplying them is as simple as saying this:

[tex]z_1*z_2 = (r_1*r_2)*\text{cis}(\theta_1+\theta_2)[/tex]

We do two basic things:

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

With all that in mind, let's tackle the problem your teacher gave you.

The given complex numbers

[tex]z_1 = 5*\left(\cos(15^{\circ})+i*\sin(15^{\circ})\right)\\\\z_2 = 3*\left(\cos(70^{\circ})+i*\sin(70^{\circ})\right)\\\\[/tex]

abbreviate into

[tex]z_1 = 5*\text{cis}(15^{\circ})\\\\z_2 = 3*\text{cis}(70^{\circ})\\\\[/tex]

then those multiply to

[tex]z_1*z_2 = (r_1*r_2)*\text{cis}(\theta_1+\theta_2)\\\\z_1*z_2 = (5*3)*\text{cis}(15+70)\\\\z_1*z_2 = 15\text{cis}(85^{\circ})\\\\z_1*z_2 = 15\left(\cos(85^{\circ})+i\sin(85^{\circ})\right)\\\\[/tex]

which is why choice D is the final answer.

Answer:

373.3333... in^3

Step-by-step explanation:

V = lwh / 3

V = 10 * 8 * 14 / 3

V = 1120 / 3

V = 373.3333... in^3

I'm probably wrong, I haven't done volume in a looong time.

Answer:

15-37 or -37+15

Step-by-step explanation:

Answer:

132.7 feet.

Step-by-step explanation:

tan 37 = height of cliff / distance of the ship

=  100/d

d = 100/tan37

= 132.7 feet.

Answer: B

Step-by-step explanation:

Acute isosceles: angle less than 90, 2 equal sides

Right scalene: right angle, different side lengths

RIght isosceles: right angle, 2 equal sides

Acute scalene: angle less than 90, different side lengths

Answer:

B)

Step-by-step explanation:

exponential function given by:

[tex] \displaystyle f(x )= a \cdot{b}^{x} [/tex]

where:

since the function crosses y-axis at (0,4) point

to find a we can consider (1,8) point it tells us when x is 1 then y is 8 thus:

[tex] \displaystyle 8= 4 \cdot{b}^{1} [/tex]

[tex] \displaystyle 8= 4 \cdot{b}^{} [/tex]

divide both sides by 4:

[tex] \displaystyle \boxed{b = 2}[/tex]

altogether substitute:

[tex] \displaystyle f(x)= 4 \cdot{2}^{x} [/tex]

hence our answer is B)

Answer:

Step-by-step explanation:

Let the number is x, then we have: