Guided Practice


The value of a car depreciates every year. Suppose you buy a new car for $17,000, and each year its value is only 90% of what it was the previous year. Write an equation that represents the value of the car, y, after x years.


A.
y=0.90 · 17,000xy equals 0.90 times 17,000 superscript x baseline


B.
y=17,000 · 0.90xy equals 17,000 times 0.90 superscript x baseline


C.
y=17,000 · 0.10xy equals 17,000 times 0.10 superscript x baseline

9514 1404 393

Answer:

  1921/496

Step-by-step explanation:

There are many rational approximations to √15, some better than others.

A linear approximation is often used:

  √15 ≈ 3 +(15-3^2)/(4^2-3^2) = 3 6/7 = 27/7

That can be refined by one iteration of the Babylonian method of determining the root:

  √15 ≈ (27/7 +15/(27/7))/2 = (3 6/7 +3 8/9)/2 = 3 55/63 = 244/63

This value is equivalent to the root rounded to 4 decimal places.

__

Another iteration of the Babylonian method gives the approximation ...

  √15 ≈ 119071/30744, equivalent to the root rounded to 9 decimal places.

__

The approximation 1921/496 is the best approximation that has a denominator under 1000.

_____

Additional comment

Successive rational convergents of the continued fraction approximation of √15 can be found as ...

  a'/b' = (3a +15b)/(a +3b)

This method adds approximately one more good decimal place per iteration.

__

Successive rational approximations can be found using the Babylonian method (Newton's method iteration) as ...

  a'/b' = (a² +15b²)/(2ab)

This method has "quadratic" convergence. It approximately doubles the number of good decimal places with each iteration.

You can use 3/1, 4/1, or 27/7 to begin either of these iterations.

Answer:

The ratio of oranges to apples is 2:3.

Step-by-step explanation:

Answer:

If they spent the same amount of money, then an apple is $2 less then an orange.

Step-by-step explanation:

So, we already know that Lu has 12 apples and oranges. We also know the ratio: 3 apples:2 oranges.

So, in order to see the cost of one apple and one orange, we need to divide the number 12 by these numbers.

12 ÷ 3 = $4 per apple

12 ÷ 2 = $6 per orange

Therefore, if they spent the same amount of money, (which can only give them 3 apples for $12, or 2 oranges for $12), then an apple is $2 less then an orange.

Answer:

[tex]9.2[/tex]

Step-by-step explanation:

20 hundredths is 0.2 and 9 is 9. 9+0.2=9.2.

Side note:

All you had to do is change 9 and 20 tenths into decimals.

Answer:

Not Defined

Step-by-step explanation:

Anything divided by 0 is said to be infinity or not defined.

Answer:

8 thanks no se la respuesta

Answer:

x =  (2c - 3b + 5) / (c - b).

Step-by-step explanation:

c(x - 2) - 5 = b(x - 3)

cx - 2c - 5 = bx - 3b          Bring the terms in x to left side:-

cx - bx  - 2c - 5 = -3b        Bring  other terms to right side:-

cx - bx = 2c  - 3b  + 5

x(c - b) =  2c  - 3b  + 5         Divide both sides by c - b:-

x =  (2c - 3b + 5) / (c - b).

Answer:

g(f(x)) = 8x^2 + 6

Step-by-step explanation:

g(f(x)) = 4(2x^2 - 7 + 6) + 10

g(f(x)) = 8x^2 -28 + 24 + 10

g(f(x)) = 8x^2 + 6

Answer:

4y

Step-by-step explanation:

this is the answer. I am sure of it.

Answer: 225 square feet

Step-by-step explanation:

If 1 gallon of paint can paint a 300 square foot room to solve how much 3/4th of a gallon can paint lets divide the amount of paint we have and the amount of area 1 gallon paint can cover.

1/4 = 1/4th of a gallon of paint      300/4 = 75 square feet

now we know that 1/4th of a gallon of paint can cover 75 square feet lets multiply everything by 3 so that we can figure out how much 3/4th can cover.

1/4*3 = 3/4th of a gallon             75*3 = 225 square feet

Now we know that 3/4th of a gallon of paint can cover a 225 square feet room.

Answer:

C ( 8,-6)

Because you move the points according to the rule.

Answer:

domain is where the line crosses the x-axis, and range is always all real numbers

Step-by-step explanation:

Answer:

[tex]\frac{1} {144}[/tex]

Step-by-step explanation:

The probability of picking 1 watermelon is 1 out of 12.

So [tex]\frac{1}{12}[/tex] × [tex]\frac{1}{12}[/tex] = [tex]\frac{1} {144}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

log ([tex]x^{6}[/tex][tex](x-8)^{5}[/tex]

Step-by-step explanation:

Using the rules of logarithms

log [tex]x^{n}[/tex] ⇔ nlog x

log x + log y = log(xy)

Given

6 log x + 5log(x - 8)

= log[tex]x^{6}[/tex] + log[tex](x-8)^{5}[/tex]

= log ([tex]x^{6}[/tex][tex](x-8)^{5}[/tex] )

Answer:

d) on edge

Step-by-step explanation:

have a nice day :)

The sales in 2007 will be $752.1 billion

The Midpoint Formula to estimate the sales (in billions of dollars) in 2017 will be calculated as the sales in both years divided by 2 and this will be:

= [2016 sales + 2018 sales} / 2

= [$483.9 billion + $536.4 billion] / 2

= $1020.3/2

= $752.1 billion

Therefore, the sales in 2017 is $752.1 billion.

Read related link on:

https://brainly.com/question/24446579

Answer:

A'(2, -5)

Step-by-step explanation:

we only need to focus on point a (0,4). The translation is moved 9 units down and 2 units to the right, so point (x,y) would become (x+2, y-9). plug 0 and 4 in for x and y respectively, and you get (0+2, 4-9) = (2, -5)

Answer:look below

Step-by-step explanation:Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.

Answer:

[tex]⚪ \: \: 16.5u + 9.8[/tex]

Step-by-step explanation:

[tex]7.9u + 8.5 + 8.6u + 1.3 \\ = (7.9 + 8.6)u + 8.5 + 1.3 \\ = 16.5u + 9.8[/tex]

Answer:

Profit = 20% = 360 Rs

So, Cost Price = 360 / 20 * 100 = 1800 Rs

And Sales Price = 1800 + 360 = 2160 Rs

Discount = 25% of marked price

So Sales Price = (100 - 25) % = 75 % of mark price.

=> 2160 = 75% of marked price.

=> marked price = 2160/75 * 100 = 2880 rs

Hope it helps you.

Example of function equation is

f ( x ) − f ( y ) = x − y f(x)-f(y)=x-y f(x)−f(y)=x−y

Example of non Function equation is

y=±√x and x2+y2=9

Answer and Step-by-step explanation:

This statement is false because it doesn't apply to all consecutive prime numbers.

Try it yourself.

Take any 2 consecutive numbers, add them together, and see if it is a prime number.

2 + 3 = 5 -- Prime Number

- Factors: 1, 5

3 + 5 = 8 -- Not a Prime Number

- Factors: 1, 2, 4, 8

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

0.05, 0.2, 0.48, 0.6

Hope it helps

Answer:

A

Step-by-step explanation:

0.05 < 0.2 < 0.48 < 0.6

Answer:

-8

Step-by-step explanation:

plz watch all steps in picture

The value of the composition function (f·g)(-64) is 1750329.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=(x+1)³ and g(x)=∛x+1.

We need to find (f·g)(-64).

We know that, (f·g)(x)=f(x)×g(x)

Here, f(-64)=(-64+1)³

= -63³

= -250047

g(x)=∛(-64)+1

= -8+1

= -7

Now, (f·g)(-64)=f(-64)×g(-64)

= -250047×(-7)

= 1750329

Therefore, the value of (f·g)(-64) is 1750329.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ7

Answer:

The answer is false.

26/3 is 8.66. 8.66 + 6 is 14.66 which doesn't equal 24

Answer:

the missing values is 5

I hope it's helps you to

Answer:

+5

Step-by-step explanation:

-5=-10+5

-5=-5

-+-=-

+-+=+

Answer:

Step-by-step explanation:

[tex]Tan 35 = \dfrac{opposite \ side}{adjacent \ side}\\\\0.7=\dfrac{12}{x}\\\\0.7*x=12\\\\x=\dfrac{12}{0.7}\\\\x=17.1[/tex]