Amanda bought a truck for $20,000. The value of the truck depreciates by 7 percent each year. Which of the following functions models this scenario, where x is the number of years

Which is correct:

A) ƒ(x) = x2 – 7x + 20,000
B) ƒ(x) = 20,000 – 7x
C) ƒ(x) = 20,000(1.07)x
D) ƒ(x) = 20,000(0.93)x

Answer:

5760+ 90π m³       or     ≈ 6042.74 m³

Step-by-step explanation:

V = πr²h + (l×w×h)

  = π3²10 + (20×16×18)

  = 90π + (5760)

  = 6042.7433388

Answer:

The triangles are Similar Triangles

Step-by-step explanation:

The corresponding angle are NOT proportional

The ratios of corresponding sides ARE equal.

The corresponding sides are NOT congruent.

The corresponding angle HAVE same measure

Two triangles are said to be similar triangle when they have the same shape but not necessarily the same size.

Which means that if two triangle have there corresponding angles congruent, and if there corresponding sides are in ratio, they are considered as Similar Triangle.

Corresponding angle:

∠H = ∠E

∠G = ∠F

∠I = ∠D

All angle are congruent

Ratio of Corresponding sides:

16/3.2 : 15/3 : 10/2

5:5:5

Hence Proved

Question: What can be concluded about these triangles? Check all that apply. Answer:  B,D,and E.

Answer:

The answer would be 33x - 15

Answer:

a) 2*a*b - a/b

b)  c² + d + 2*c*d

c)  c + c²

d) (1 + b)/(2*b)

e)  p*q - 3*(p+q)

f) n²/(n+5)³

Step-by-step explanation:

We can divide each statement into its parts, as follows:

a) The difference between:

b) The sum of:

c) The sum of:

d) The quotient of:

e)

f) The quotient of:

All the algebraic expressions are written as,

a) 2ab - (a/b)

b) c² + d + 2cd

c)  c + c²

d) (1 + b)/(2b)

e)  pq - 3(p+q)

f) n²/(n+5)³

Used the method of a mathematical expression,

Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, simplify all the expressions for mathematical form as,

a) The difference between twice the product of a and b and the quotient of these numbers.

Here, twice the product of a and b is,

2 × (ab)

And, the quotient of these numbers is,

a/b

Hence, it can be written as,

[tex]2ab - \dfrac{a}{b}[/tex]

b) The sum of squares of c and d increased by twice their product.

Here, d increased by twice their product is,

d + 2cd

And, The sum of squares of c and d increased by twice their product is,

c² + (d + 2cd)

c) The sum of a number c and its square is,

c + c²

d) Now, the number that is 1 greater than a number b is,

1 + b

And the number that is twice as large as b,

2b

So, The quotient of the numbers,

(1 + b)./2b

e) Now, The product of two numbers, p, and q is,

p × q

And, it is decreased by three times their sum:

p × q - 3 (p+q)

pq - 3 (p + q)

f) Now, the square of a number n is, n²

and the cube of n increased by 5 is, (n+5)³

So, The quotient is,

n² / (n + 5)³

To learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

B. (-9/2, -11/2)

Step-by-step explanation:

-12+3 / 2 = -9/2

-3+-8 / 2 = -11/2

Answer: 25%

Step-by-step explanation: So, I think we know it's 50% chance to get heads or tails. But what's the chance of getting heads two times in a row....let's see...

[tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex]

Let's turn [tex]\frac{1}{4}[/tex] into a decimal...

1 ÷ 4 = 0.25

0.25 * 100 = 25

= 25%

Thus, you have a 25% to get heads two times in a row...I hope this helps!

Answer: i say B is correct

Answer:

B  -->  y is 1/3 of x

Step-by-step explanation:

x:y is 3:1

=>  x is bigger than y

=>  x is 3x bigger than y

=>  x = 3 lots of y

=>  [tex]x = 3y[/tex]

=>  [tex]\frac{x}{3} = y[/tex]

=>  [tex]\frac{1}{3} x = y[/tex]

Therefore y is [tex]\frac{1}{3}[/tex] of x

This means that B is correct

Answer: The answer is 1296

Answer: the system of inequalities are

x + y ≤ 14

18x + 38y = 342

Step-by-step explanation:

Let x represent the number of iPad chargers sold.

Let y represent the number of keyboards sold.

At the end of the day, he knows he sold a maximum of 14 items. This is expressed as

x + y ≤ 14

If he

charged $18 for each iPad charger (x) and $38 for each keyboard (y) and earned a total of $342, the expression would be

18x + 38y = 342

Answer:

5-3x=-8

Step-by-step explanation:

1. 8

2. 1/2

4. 9

Answer:

the answer is C

Step-by-step explanation:

I got it right on time 4 learning

Answer:

8.75

Step-by-step explanation:

Find the difference of the prices.

31.25-22.50=8.75

That's how much it increased by

Answer:

350

Step-by-step explanation:

I took the test

Answer:

-7-(-4)= -3

Step-by-step explanation:

Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive.

Answer:

Option C is correct

Step-by-step explanation:

Given: inequality is [tex]50-3.50x>100-6x[/tex]

To find: situation that can be represented by the given inequality

Solution:

Cost of Dunkin Donuts gift card with Daniel = $50

Amount spent by Daniel per day = $3.50

Cost of Dunkin Donuts gift card with David = $100

Amount spent by David per day = $6

Amount left with Daniel after x days = [tex]\$(50-3.50x)[/tex]

Amount left with David after x days = [tex]\$(100-6x)[/tex]

According to question,

Amount left with Daniel after x days > Amount left with David after x days

[tex]50-3.50x>100-6x[/tex]

So, he inequality that satisfies the situation is [tex]50-3.50x>100-6x[/tex]

Option C is correct

Answer:

The three angles form a "linear triplet" ,  so their measures must add up to [tex]180^o[/tex]

Step-by-step explanation:

Notice that the three angles add up to cover half a circle (therefore 180 degrees of angle. Such type of angle combination is called a "linear triplet" since they add up to give a straight line.

Answer:

20

Step-by-step explanation:

Because this is a right triangle, you can use the Pythagorean Theorem, a^2 + b^2 = c^2.  a and b are your legs and c is your hypotenuse, so you have 21^2 + b^2 = 29^2. This equals to 441 + b^2 = 841. subtract 441 from both sides and you are left with b^2 = 400. take the square root of both sides to get your answer b = 20, or x = 20.

Answer:

x = 20

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve this:

[tex]a^2 +b^2=c^2[/tex]

→The "a," and "b," are the legs, 21 and x, while the "c," is the hypotenuse, 29. In this case, we are trying to find the value of a leg:

[tex]21^2+b^2=29^2[/tex]

[tex]441+b^2=841[/tex]

→Subtract 441 from both sides:

[tex]b^2=400[/tex]

→To get "b," by itself, you must take the square root of both sides, like so:

[tex]\sqrt{b^2} =\sqrt{400}[/tex]

[tex]b = 20[/tex]

ANSWER:

1.9

EXPLANATION:

Volume of a pyramid = V= lwh/3

V= Volume

L= Length

W= Width

to get length we divide 5 by 4 which is 1.25

therefore V= 1.25×1.25×3.6/3

V= 1.89

1.89 to the nearest tenth is 1.9

Answer:

5.627

Step-by-step explanation:

[tex]5 \times 1 + 6 \times \bigg( \frac{1}{10} \bigg) + 2 \times \bigg( \frac{1}{100} \bigg) + 7\times \bigg( \frac{1}{1000} \bigg) \\ \\ = 5 + 0.6 + 0.02 + 0.007 \\ \\ = 5.627[/tex]

Answer:

4096

Step-by-step explanation:

Simplify:

=((−4)3)2

=((−4)3)*((−4)3)

=((−4)*(−4)*(−4))*((−4)*(−4)*(−4))

=(−4)*(−4)*(−4)*(−4)*(−4)*(−4)

=(−4)6

Step by Step:

((−4)3)2

=(−64)2

=4096

Answer: 4096

Hope this helps.

Answer:

Step-by-step explanation:

3+√5 is a root.

so 3-√5 is also a root

or (x-(3-√5)) is also a factor of f(x)

Answer:

The mean is $5.70, the median is $5, and the mode is $5

Step-by-step explanation:

Answer:

the mean is $5.7, the median is $5, and the mode is $5

Step-by-step explanation:

Step-by-step explanation:

4x² + 11x - 3 = 0

(4x-1)(x+3) = 0

x = 1/4, -3

Answer:

x = -3 or x = 1/4

Step-by-step explanation:

Please see the graph in the attachment.

4 x^2 + 11 x - 3= 0

4 (x + 3) (x - (1/4)) = 0

(x + 3)= 0 or (x - (1/4))= 0

x = -3 or x = 1/4

Answer:

i think it is C

Step-by-step explanation:

The answer is 117 inches^3

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = 117 \: {in}^{3} \\ [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 4 \times 4 \frac{1}{2} \times 6 \frac{1}{2} \\ = 4 \times \frac{9}{2} \times \frac{13}{2} \\ = \frac{468}{4} \\ = 117 \: {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The second option you listed: x + y = 4 gives the same line as H, and therefore renders infinite number of solutions (as many as every point on the line)

Step-by-step explanation:

We need to look for the equation that exactly matches the given one :

2 x + 2 y = 8

notice dividing both sides of this equation by "2" we get:

x + y = 4

SO this equation represents exactly the same line as 2 x + 2 y = 8 does, and therefore their graphs overlap completely

Answer:

Step 1: 1,000, Step 2: 1,000, Step 3: 30,000

Step-by-step explanation:

For the first step all you have to do is find out what times 5 is equal to 5000.

[tex]5*x=5000\\[/tex]

Then for the second one all you have to do is keep the same 1000, because:

[tex](5*6)*1000=30*1000[/tex]

It's the same thing.

Afterwards you can just assume that you'll have 30000 as your answer because multiply 30 by 1000 will give, 30 thousands.

[tex]30*100=30000[/tex]

Answer:

Inequality is the opposite of equality and it is shown here in the line starting from -2 ends in a number of a value other than of -2 but 8 so it is inequality