Which equation best represents the line? (4 points)

a
y = 1 over 3.x − 1

b
y = 3x − 1

c
y = −x + 1 over 3.

d
y = 3x + 1

Answer:

John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?

The explanation of the answer is now given as follows:

Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:

a + b + c = 12,000 ……………………….. (1)

Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:

c = b + 4,000 ……………………………. (2)

The total amount of interest earned from each fund can be represented as follows:

0.03a + 0.04b + 0.07c = 670 ………………. (3)

Substituting equation (2) into equation (1), we have:

a + b + b + 4,000 = 12,000

a + 2b = 12,000 – 4,000

a + 2b = 8,000

a = 8,000 – 2b ……………………….. (4)

Also, substituting equation (2) into equation (3), we have:

0.03a + 0.04b + 0.07(b + 4,000) = 670

0.03a + 0.04b + 0.07b + 280 = 670

0.03a + 0.04b + 0.07b 0 = 670 – 280

0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)

Substituting equation (4) into equation (5) and solve for b, we have:

0.03(8,000 – 2b) + 0.11b = 390

240 – 0.06b + 0.11b = 390

240 + 0.05b = 390

0.05b = 390 – 240

0.05b = 150

b = 150 / 0.05

b = 3,000

Substituting b = 3,000 into equation (2), we have:

c = 3,000 + 4,000

c = 7,000

Also, substituting b = 3,000 into equation (4), we have:

a = 8,000 – (2 * 3,000)

a = 8,000 – 6,000

a = 2,000

Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Answer:

(x + 1)(x + 3)

Step-by-step explanation:

Given

x² + 4x + 3

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

The factors are + 1 and + 3, since

1 × 3 = 3 and 1 + 3 = 4, then

x² + 4x + 3 = (x + 1)(x + 3)

Answer:

[tex]f(x)\cdot g(x)=x^3-21x^2+135x-243[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2-12x+27\text{ and } g(x)=x-9[/tex]

And we want to find:

[tex]f(x)\cdot g(x)[/tex]

So, by substitution:

[tex]=(x^2-12x+27)\cdot (x-9)[/tex]

Distribute:

[tex]=(x^2-12x+27)(x)+(x^2-12x+27)(-9)[/tex]

Multiply:

[tex]=(x^3-12x^2+27x)+(-9x^2+108x-243)[/tex]

Rearrange:

[tex]=(x^3)+(-12x^2-9x^2)+(27x+108x)+(-243)[/tex]

Combine like terms:

[tex]=x^3-21x^2+135x-243[/tex]

Hence:

[tex]f(x)\cdot g(x)=x^3-21x^2+135x-243[/tex]

Answer:

5x + y = -48

Step-by-step explanation:

(y + 3)/(x + 9) =m

=> y + 3 = -5x -45

=> 5x + y + 48 = 0

Answer:

Yes... or no

Step-by-step explanation:

You simplify slope if you can simplify the numerator and denominator.

I hope this helped, please give brainliest if this is correct! Thank you!

Answer:

Give brainlist ti that person: )

Step-by-step explanation:

Step-by-step explanation:

Apply rule: 3x+3x =-1

Add similar elements: 6x=-1

Divide both sides by six

Simplify: x= -1/6

Answer: I gave both percentage and price.

10 years:

Coin A) is worth 25$ with 7%  $25.70  0.7%

Coin B) is worth 50$ with 5% $50.50  0.5%

Coin C) is worth 60$ with 4% $60.40 0.4%

20 years:

Coin A) $26.40  1.4%

Coin B) $51.00  1%

Coin C) $60.80  0.8%

30 years:

Coin A) $27.00  2%

Coin B) $51.50  1.5%

Coin C) $61.20  1.2%

60 years:

Coin A) $29.20  4.2%

Coin B) $53.00  3%

Coin C) $62.40  2.4%

Answer:

This is actually pretty easy.

13+3-11 is 5

1+0-2 is -1

8+5+6 is 19

0-3-4 is -7

So you add all of the solutions and then thats your answer D+C equals 24+-8

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

38-12-10=16

Answer:

16

Step-by-step explanation:

Answer:

B [tex](y-9)=5(x-1)[/tex]

Step-by-step explanation:

Formula of straight line in Point slope form

[tex](y-y_1)=m(x-x_1)[/tex]

Here

[tex]m=5 \ and \ (x_1, y_1)=(1, 9)[/tex]

therefore equation of line having slope 5 and passing through point )1, 9) is given as

[tex](y-9)=5(x-1)[/tex]

Answer:

Francine has just set up her Christmas tree.  40% of her ornaments are red.  If she has 30 ornaments, then how many are red?

Step-by-step explanation:

Answer:

hi can u pls enter the right question

Answer:

∠ F ≈ 78°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosF = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{1.5}{7.5}[/tex] , then

∠ F = [tex]cos^{-1}[/tex] ([tex]\frac{1.5}{7.5}[/tex] ) ≈ 78° ( to the nearest degree )

Answer:

10

Step-by-step explanation:

2+2+6

Answer:

10

Step-by-step explanation:

The right side of the graph shows the sum of the cars. 2 black Impala's + 6 white Impala's + 2 red Impala's = 10 total Impala's (that is, if all of the Impala's are one solid color)

Answer:

x=y-3

Step-by-step explanation:

okay, so first, we have to understand what the words mean.

PRODUCT: means the answer to a multiplication question

DECREASED: taken away or to make smaller

AND: addition or add

We can use X for "product" and Y for "a number"

now we can write it out:  

x=y+5-3

OR

y+5-3=x

Answer:

A solution that results in a false statement when substituted back into the original  equation.

Step-by-step explanation:

An extraneous solution is one that arises in a solution of equations, but which on closer inspection is not a solution to the original equation. Therefore, they imply an error in the development of the solution of the equation, so they cannot be taken as a valid solution since, when replacing the result with the missing variable, the equation does not obtain the desired result.

Answer:poster 10 hours ago

Step-by-step explanation:

me reads it is due in 10 min

Answer:

-[tex]\frac{y}{2.5}[/tex] < 10.5

Step-by-step explanation:

Answer:

any number under 4 so 3 2 1 -1 -2 -3 -4 -5 -6 -7 etc

Step-by-step explanation:

Answer: oh kay then....

Answer:

2%

Step-by-step explanation:

thank u for Ur question:)

Answer: 1/2

Step-by-step explanation:U need to simplify 2/4 by divide both 2 and 4 by 2 which gives u 1 over 2 (1/2).

Hope it helps :)

Answer:

-45

Step-by-step explanation:

inside the parentheses: 2*-8= -16

                                        -16+1=-15

3 (-15)= -45

Answer:

-45

Step-by-step explanation:

hello

Answer:

3 I did it already..................

Step-by-step explanation:

3

Answer:

3

Step-by-step explanation:

observe the choices and choose the closest choices. MR/MP=RQ/NP THE HINT IS "NP".

Answer:

$68.85

Step-by-step explanation:

19% of $85 is $16.15

$85 - $16.15 = $68.85

Answer:

0.0158730159

Explanation:

Answer:

24(2y-1)

Step-by-step explanation:

(pls mark me brainliest)

Answer:

Step-by-step explanation:

Expanding double brackets is easy. Let me give u an example :

(x+5)(x+1)

so the way i do it is

1.Write the second bracket (x+1) twice :

(x+1) (x+1)

2. split the first bracket (x+5) like this :

x(x+1) +5(x+1)

3. Simplify

x*x = x²

x*1 = 1x

5*x = 5x

5*1 = 5

x² + 1x + 5x + 5 = x² + 6x + 5

so the final answer is gonna be x² + 6x + 5

in order to factorize it, u basically do the following :

1. Find two numbers, that multiply to give the last number (a.k.a 5 ) and add to give the middle number (a.k.a 6) The middle number is the sum, and the last number is the product.

so u write all the combo's that make the number 5 :

1 x 5

The two number's are gonna be 1 & 5, because 1 + 5 = 6 (the sum) and 1 x 5 = 5 (the product)

This example is easy since it doesn't include any negative numbers, so u just do = (x+1) (x+5) or (x+5) (x+1) same thing ;-;

I think u should just ask a teacher or watch a tutorial or smthn, this is like the worst explanation ever. But yeah once u know the method, you'll find expanding double brackets rly easy.

Answer:

natural numbers, rational numbers, integers, whole numbers, real numbers

-16 belongs to the set of the integers and rational numbers.

Given that,
To discuss to which subsets of the real number system -16 belong.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
Number -16 is an integer and rational number, also primarily it is a real number,
So real number is set an integer and a rational number is subsets for the number -16

Thus, -16 belongs to the set of integers and rational numbers.

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ2

Answer:

37 hours

Step-by-step explanation:

to find out how many hours it will take the ship to get to the bahamas, we must take the distance that needs to be traveled and divide it by the distance traveled every hour (m/h)

859 / 23 = 37.3478261

now, rounded to the nearest hour, that would be 37 hours

Answer:

x=10-6

x=4

Step-by-step explanation:

for which level