2(7x + 13) - 16x = 3(x + 11) - 4x

Answer:

2 (n + 6) = - 24

Step-by-step explanation:

The product (the result from multiplying) of 2, and a number increased (add) by 6, is (equals) – 24.

We use "n" to represent the unknown number.

We multiply 2 by n + 6, and that equals - 24.

Answer:

The number is -15.

Step-by-step explanation:

2x+6=-24

2x=-24-6

2x=-30

x=-30/2

x=-15

He invested $ 2000 in Treasury bills, $ 1000 in corporate bonds and $ 17000 in Treasury bonds.

Given that a person has $ 20,000 to invest, and as the person's financial consultant, you recommend that the money be invested in Treasury bills that yield 3%, Treasury bonds that yield 6%, and corporate bonds that yield 9%, and the person wants to have an annual income of $ 1170, and the amount invested in corporate bonds must be half that invested in Treasury bills, to find the amount in each investment the following calculation must be performed:

Therefore, he invested $ 2000 in Treasury bills, $ 1000 in corporate bonds and $ 17000 in Treasury bonds.

Learn more about quantities in https://brainly.com/question/25789591

Answer:

8x+12+12x+8=0

20x+20=0

20x=-20

x=-1

Answer:

20

Answer:

The tree is 14 ft. tall.

Step-by-step explanation:

Height of the building/ Height of the tree  = Shadow of building/ Shadow of tree

30/x = 75/35           Cross multiply

75x = (30)(35)

75x = 1050

x = 1050/75

x = 14

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

5f+2p=90

-5f        -5f

[tex]\frac{2p}{2}[/tex]=[tex]\frac{-5f+90}{2}[/tex]

p=[tex]\frac{-5f+90}{2}[/tex]

Answer:

5n^3

Step-by-step explanation:

For this type of problem, you can do the numbers and the variables separately and then combine them at the end.

First, lets do the variables:

n^4 has the following factors: n^1, n^2, n^3, n^4

n^3 has the following factors: n^1, n^2, n^3

The greatest common factor is n^3

Now for the numbers.

5 has the following factors: 1,5

30 has the following factors: 1,2,3,5,6,10,15,30

The greatest common factor is 5

Put it all together and the answer is 5n^3

Answer:

the greatest common factor between those is 5n^3

Step-by-step explanation:

So if you factor out 5n^3 you would have,

5n^3(n+ 6)

Answer:

Step-by-step explanation:

Width = Area÷ length

         = 5 1/3 ÷ 2 1/3

         = 16/3 ÷ 7/3

        [tex]= \dfrac{16}{3}*\dfrac{3}{7}\\\\\\=\dfrac{16}{7}\\\\=2\dfrac{2}{7}[/tex]

Answer:

30 minutes!!!!

Answer:

(1/2) half an hour.

Step-by-step explanation:

1 1/2 x 1/3 = 3/2 x 1/3 = 3/6 = 1/2

Transformation involves changing the position of a graph

The equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]

A geometric function is represented as:

[tex]\mathbf{y =ab^x}[/tex]

The graph of g(x) passes through (-1,4) and (-2,2)

So, we have:

[tex]\mathbf{2 =ab^{-2}}[/tex]

[tex]\mathbf{4 =ab^{-1}}[/tex]

Divide both equations

[tex]\mathbf{\frac{4}{2} =\frac{ab^{-1}}{ab^{-2}}}[/tex]

Divide

[tex]\mathbf{2 =b}[/tex]

Rewrite as:

[tex]\mathbf{b =2}[/tex]

Substitute 2 for b in [tex]\mathbf{4 =ab^{-1}}[/tex]

[tex]\mathbf{4 = a2^{-1}}[/tex]

Multiply both sides by 2

[tex]\mathbf{8 = a}[/tex]

Rewrite as:

[tex]\mathbf{a = 8}[/tex]

Substitute 2 for b and 8 for a in [tex]\mathbf{y =ab^x}[/tex]

[tex]\mathbf{y = 8(2)^x}[/tex]

Express as a function

[tex]\mathbf{g(x) = 8(2)^x}[/tex]

Hence, the equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]

Read more about function transformation at:

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Answer:

g(x)=8(2)^x

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Add 7 to the right side and add 4x to the left side

5x=40

divide by 5

Answer:

x=8

source=trust me bro

To find the interest rate on the investment for 8 years is equal to 0.7%

Given the following data:

To find the interest rate on the investment for 8 years:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + r)^{t}[/tex]

Where;

Substituting the given parameters into the formula, we have;

[tex]6872.74 = 4000(1 + r)^{8}\\\\(1 + r)^{8}=\frac{6872.74}{4000} \\\\(1 + r)^{8}=1.7182\\\\1+r=\sqrt[8]{1.7182} \\\\1+r =1.07\\\\r=1.07-1\\\\r=0.7[/tex]

Interest rate, r = 0.7%

Read more: https://brainly.com/question/22339845

Answer:

568+567899675433235+453dtu

Answer:

b

Step-by-step explanation:

b

The answer is. B.) 9 R53

I used long division

Answer:

40 on edge

Step-by-step explanation:

2021

Answer:

10

Step-by-step explanation:

60/6=10

Answer:

19/3 = 6.33333……

9 11/16 = 9.6875

a) 0.818

b) 0.8

c) 3.4

d) 0.55555……

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation              

57379/546863  is how it should be set

          also not sure about the step by step part sorry

Answer:

9 R 30,452

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the theorum you need for this is c^2 = a^2 + b^2, but because you have sides a and c, you need to work backwards.

Start by isolating b^2 in the equation.

c^2 = a^2 + b^2

        -a^2

c^2 - a^2 = b^2

b needs to not be squared, so take the square root of both sides

[tex]b = \sqrt{\sqrt{29}^{2} - 5^{2}[/tex]

Your answer should be 2.

Answer: The third option.

Step-by-step explanation:

This question requires knowledge of translation of equations.  It utilizes a very simple vertical shift, which can be found via f(x) = f'(x) + a, where the graph is moved up a units.  In this case, a is 0.5.

Hope it helps and let me know if you want me to elaborate.

Answer:

Third graph

Step-by-step explanation:

3rd graph is the right one. Top left corner one.

Reson:

Transformation in y coordinates is by up 0.5

Which is 3rd one

Answer:

n = ±i sqrt(5)

Step-by-step explanation:

2n^2-6=-16

Add 6 to each side

2n^2-6+6=-16+6

2n^2=-10

Divide by 2

2/2n^2 = -10/2

n^2 = -5

Take the square root of each side

sqrt(n^2) = sqrt(-5)

n = sqrt(-1) sqrt(5)

n = ±i sqrt(5)

1/3

本题已由中国数学会官方解答（现有会员：2人）

Answer:

To do this, just do 12 divided by 4.80 = 2.5 dollars per can at Corner Grocery, and at Max's Market 15 divided by 5.25 = 2.85 per can. So the Corner Grocery has a better unit price by 35 cents.

Thanks for your question.

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

n = 1141

Step-by-step explanation:

To find the value of n you add 732 and 409 giving you 1141.

Answer:

n = 323

Step-by-step explanation:

this one should be easy for u. all u have to do is take the given number which can be either the minuend or subtrahend and subtract it from the difference. (minuend-subtrahend=difference)

Step-by-step explanation:

that is easy : 6

let's write it a bit nicer and more readable :

k⁶ + 8k⁵ + 8k⁴ - 9k²

the highest exponent is 6 for k.

and that is the degree of the polynomial.

Answer:

13 1/2

Step-by-step explanation:

What we do is convert the mixed numbers into improper fractions

1 x 2 + 1 = 3

4 x 2 + 1 = 9

our new fractions are 3/2 and 9/2

multiply 3 x 9 = 27/2

simplify into mixed number =  13 1/2

Answer:

$8100

Step-by-step explanation:

There are 36 months in 3 years.

225 x 36 = $8100

Answer:

Final answer: The best deal is the 2 L bottles for $1.79 each. We'll need 12 of them, which will cost us $21.48

Step-by-step explanation:

Hope it's helpful

We need to convert 2L to mL

Now convert

[tex]\\ \tt\hookrightarrow 2L[/tex]

[tex]\\ \tt\hookrightarrow 2(1000)[/tex]

[tex]\\ \tt\hookrightarrow 2000mL[/tex]