Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $109600. The company depreciates the bulldozer linearly over its useful life of 16 years. Its salvage value at the end of 16 years is $17600. A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. B) The value of the bulldozer after 7 years is $

Answer: the 10 people served .1 more cups per serving than the 12 people

Step-by-step explanation:

4.5/12=.375

4.75/10=.475

The difference between .375 and .475 is .1

Answer:

Part B:

5) She will have $4445.244256 in 3 years

Part C:

1) She will have $8081.130039 in 10 years

2) He will have $13360.55059 in 8 years

Step-by-step explanation:

The formula of the compound interest is A = P [tex](1+\frac{r}{n})^{nt}[/tex], where

Part B:

5)

∵ P = $4250

∵ r = 1.5% = 1.5 ÷ 100 = 0.015

∵ n = 4 ⇒ Compounded quartly

∵ t = 3 years

→ Substitute them in the formula above

∴ A = 4250 [tex](1+\frac{0.015}{4})^{4(3)}[/tex]

∴ A = 4250 [tex](1.00375)^{12}[/tex]

∴ A = 4445.244256

∴ She will have $4445.244256 in 3 years

Part C:

1)

∵ Grace deposits $6000

∴ P = 6000

∵ The account is compounded semi-annually at 3%

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 2 ⇒ compounded semi-annually

∵ The time is 10 years

∴ t = 10

→ Substitute them in the formula above

∴ A = 6000 [tex](1+\frac{0.03}{2})^{2(10)}[/tex]

∴ A = 6000 [tex](1.015)^{20}[/tex]

∴ A = 8081.130039

∴ She will have $8081.130039 in 10 years

2)

∵ Danial opens an account that is compounded semi-annually at 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∴ n = 2 ⇒ compounded semi-annually

∵ He deposits $9000

∴ P = 9000

∵ The time is 8 years

∴ t = 8

→ Substitute them in the formula above

∴ A = 9000 [tex](1+\frac{0.05}{2})^{2(8)}[/tex]

∴ A = 9000 [tex](1.025)^{16}[/tex]

∴ A = 13360.55059

∴ He will have $13360.55059 in 8 years

Answer: C

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Given function

We can find its factors:

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

Answer:

what numbers do you need answering??

Step-by-step explanation:

Answer:

l , k , j

Step-by-step explanation:

j is near to 1 so, j has greatest value

k has second great value

l has negative value

So,

l has least value also negative value.

Answer:

C. x > -3

Explanation:

The circle with no filling means it can not be equal

It goes ahead of -3 so it is greater than -3

9514 1404 393

Answer:

  (4x +5)

Step-by-step explanation:

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:

  √(16x²) = 4x

  √25 = 5

So, our first choice of side length for the square is ...

  s = (4x +5) . . . . . side length of the square

__

Using the above identity, we can verify that the square of this gives the right area:

  A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²

  A = 16x² +40x +25 . . . . . . as required

Answer:  [tex]=\frac{-1}{16}[/tex]

Step-by-step explanation:

given data:

number to be chosen from = 1,2,3,4.

Solution:

ways the number can show

[tex]2*3*1=6[/tex] ways for your number to appear once.

[tex]1*1=1[/tex] ways for your number to appear twice.

[tex]3*3=9[/tex] ways for your number not to appear at all

[tex]= \frac{6(1) + 1(2) - 9(1)}{16}[/tex]

[tex]= \frac{6+2-9}{16}[/tex]

[tex]=\frac{-1}{16}[/tex]

expected return of the player is [tex]=\frac{-1}{16}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

[tex]n=\frac{5\ln \left(\frac{q}{r}\right)}{\ln \left(q\right)}-2[/tex]

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

I guess you want the value of n

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

Since n is the index of q, you can simply

ignore all p and r stuff and make it

[tex]q^{2}[/tex]×[tex]q^{n}[/tex] = [tex]q^{5}[/tex]

[tex]q^{2+n}[/tex] = [tex]q^{5}[/tex]

2 + n = 5

n = 3

Answer:

98.91

Step-by-step explanation:

rounded to 2 decimal places

Answer:

sqrt(A/pi), -sqrt(A/pi)

Step-by-step explanation:

A=pi*r^2

r^2=A/pi

r=sqrt(A/pi), -sqrt(A/pi)

Answer:

somewhere around 38-44

Step-by-step explanation:

i would like brainliest plz, i know bad answer

Answer:

How do you solve it?

Step-by-step explanation:

Answer:hehdjjdjfhrjrg

Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr

Answer:

Then solution as long as n ≥ 56

Step-by-step explanation:

The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:

n*p₀ > 10

n*q₀ > 10

As  p₀ = 0,82      q₀ = 0,18       n  = 13      30     56    and  100

We test:

A) n = 13        n*q₀  =  13*0,18 = 2,34       2,34 < 10  

B) n = 30       n*q₀  =  30*0,18 = 5,4         5,4 < 10

C) n = 56       n*q₀  =  56 * 0,18 = 10,08

                      n*p₀  = 56 * 0,82 = 45,92

D) n = 100      n*q₀  = 18

                      n*p₀  = 82

If we test 55  we find that  55*0,18  =  9,9

Then solution as long as n ≥ 56

Answer:

we get [tex]x^2=12-6\sqrt{3}[/tex]

Step-by-step explanation:

We are given: [tex]x=3-\sqrt{3}[/tex]

We need to find [tex]x^2[/tex]

Note: Since question is not clear, I am assuming that we need to find [tex]x^2[/tex]

Solving:

[tex]x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\[/tex]

We know that [tex](a-b)^2= a^2-2ab+b^2[/tex]

Using formula and simplifying

[tex]x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\[/tex]

So, we get [tex]x^2=12-6\sqrt{3}[/tex]

Answer:

(2xy)⁴/x²y⁵

(4x)²/y

(4x)²y¯¹

Step-by-step explanation:

From the question given above, we obtained:

16x²/y

Thus, we can obtain the equivalent of the above expression as follow:

For Option 1:

(2x)⁴/x²y¯¹ = 2⁴x⁴/x²y¯¹

(2x)⁴/x²y¯¹ = 16x⁴/x²y¯¹

Recall:

1/A¯¹ = A

Therefore,

16x⁴/x²y¯¹ = 16x⁴y/x²

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

Therefore,

16x⁴y/x² = 16x⁴¯²y = 16x²y

(2x)⁴/x²y¯¹ = 16x²y

Thus, (2x)⁴/x²y¯¹ is not equivalent to 16x²/y

For Option 2:

(2xy)⁴/x²y⁵ = 2⁴x⁴y⁴/x²y⁵

(2xy)⁴/x²y⁵ = 16x⁴y⁴/x²y⁵

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

16x⁴¯² y⁴¯⁵ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(2xy)⁴/x²y⁵ = 16x²/y

Thus, (2xy)⁴/x²y⁵ is equivalent to 16x²/y

For Option 3:

(4x)²/y = 4²x²/y

(4x)²/y = 16x²/y

Thus, (4x)²/y is equivalent to 16x²/y

For Option 4:

(4x)²y¯¹ = 4²x²y¯¹

(4x)²y¯¹ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(4x)²y¯¹ = 16x²/y

Thus, (4x)²y¯¹ is equivalent to 16x²/y

For Option 5:

(4x/y)²

Recall:

(A/B)ⁿ = Aⁿ / Bⁿ

(4x/y)² = (4x)²/y²

(4x/y)² = 4²x²/y²

(4x/y)² = 16x²/y²

Thus, (4x/y)² is not equivalent to 16x²/y

SUMMARY:

(2x)⁴/x²y¯¹ is not equivalent to 16x²/y

(2xy)⁴/x²y⁵ is equivalent to 16x²/y

(4x)²/y is equivalent to 16x²/y

(4x)²y¯¹ is equivalent to 16x²/y

(4x/y)² is not equivalent to 16x²/y

Answer:

thanks for free points

Answer:

32 degrees

Step-by-step explanation:

One straight line equals 180 degrees

if one angle from one side is 148, then 180-148=32

Step-by-step explanation:

A(-4, 5) => A'(-4+2, -5) = A'(-2, -5)

B(-6, -4) => B'(-6+2, -(-4)) = B'(-4, 4)

C(4, -4) => C'(4+2, -(-4)) = C'(6, 4)

Hence the new coordinates are A'(-2, -5), B'(-4, 4) and C'(6, 4).

Answer:

B

Step-by-step explanation:

First we find the vertex, which is the bottom of the "V" shape visually, you see it is -3, 4

That means answer is A or B. The x intercepts are where the line crosses the x axis, with is -5,0 and -1,0, so it has to be B!

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Answer:

15

Step-by-step explanation:

Expected value =prob(age)

(13*0.01)+(14*0.25)+(15*0.27)+(16*0.30)+(17*0.16)+(18*0.01)=15.38

round off to get 15

The expected value for the age of a randomly chosen student is 15.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

Total number of students, n = 1500,

Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Calculate the expected value as shown below,

[tex]E = x_1P_1 + x_2P_2+x_3P_3+x_4P_4+x_5P_5+x_6P_6[/tex]

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38 ≈ 15

Therefore, the expected value for the age of a randomly chosen student is 15.

To know more about probability:

https://brainly.com/question/743546

#SPJ2

Answer:

LCD = 24

Step-by-step explanation:

Equivalent Fractions with the LCD

1 1/2 = 36/24

3/8 = 9/24

5/6 = 20/24

3 = 72/24

Hope this Helped! :}

Answer:

0.357

Step-by-step explanation:

The computation of the probability of sale for the last book that the bookstore should purchase for sale to a student is shown below

Probability is

= 1 - ((Cs ) ÷ (Cs + co))

= 1 - (($225 - $105) ÷ ($117 + ($105 - $40)))

= 1 - 0.6428

= 0.357

Here Cs represent the notional loss in the case when the demand is underestimated

And Co represent the notional loss in the case when the demand is overestimated

Answer:

The answers are:

Step-by-step explanation:

Given vectors are:

u = <5,1>

v = <6,2>

The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs

Now,

[tex]2u = 2(5,1) = (10,2)[/tex]

[tex]-3v = -3(6,2) = (-18,-6)[/tex]

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

[tex]u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)[/tex]

And

[tex]3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)[/tex]

Hence,

The answers are:

Answer:

24.09 am I smart or what lol

Step-by-step explanation:

22 +2.09

Answer: x = 28

Step-by-step explanation:  

Trust me :)