1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexandra [31]
3 years ago
12

Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. Call t

he amount that Henri invested in stocks s and the amount he invested in bonds b.
Mathematics
2 answers:
Pie3 years ago
6 0

Answer:

Bonds: $4,500

Stocks: $19,500

Step-by-step explanation:

In order to solve this you just need to create a litte equation, to represent the bonds we will use "x" so Bonds equals "x" and the stocks are three times the amount of bonds plus 6,000 that is 3x+6,000, if you add both the result will be $24,000

So the equation would be:

x+ (3x+6,000)=24,000\\4x+6,000=24,000\\4x=24,000-6,000\\4x=18,000\\x=4,500

makvit [3.9K]3 years ago
4 0

Answer:

The solve of that problem is that Hernry invested $18.000 in stocks and $6.000 in bonds.

Step-by-step explanation:

First, to explain you have to do a multiplication about 6 on three. Like three times more than bonds, the result is 18. Then you have to do a  subtraction on $24.000 less $18.000, and the result is $6.000, so six is the amount on bonds. And is three times less than stocks, like the questions ask.

You might be interested in
if on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?
kirill115 [55]

Answer:

7/40 feet

Step-by-step explanation:

Solve using proportions:

\frac{25in}{35ft} =\frac{1/8 in}{?ft}

Find the scale factor by dividing the numerators 25 by 1/8.

25 ÷ 1/8 = 200   This is the common ratio

To get from the top left number to the top right number, you divide 25 by 200.

To get from the bottom left number to the bottom right number, you divide 35 by 200.

35 ÷ 200 = 0.175

1/8 of an inch represents 0.175 feet.

To find 0.175 in fraction form, reduce 35/200 to its lowest terms.

35/200 = 7/40

1/8 of an inch represents 7/40 feet.

8 0
3 years ago
Determine the value of a, b, and c for the quadratic equation: 4x2- 8x = 3
Rufina [12.5K]

Answer:

B. a = 4, b = -8, c = -3

Step-by-step explanation:

The quadratic equation given is:

4x^2- 8x = 3

The general form of a quadratic equation is given as:

ax^2 + bx +c = 0

Let us put the given equation in this form and then compare with the general form of the quadratic equation.

4x^2- 8x = 3\\\\4x^2 - 8x - 3 = 0

Therefore, by comparing:

a = 4

b = -8

c = -3

The correct option is B

4 0
3 years ago
What is the value of a cube if the length of one side is 9 inches
sp2606 [1]

Answer:

729 in ^3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinat
tensa zangetsu [6.8K]

Answer:

The volume of the largest rectangular box (V) = 81/4

Step-by-step explanation:

<u>Step 1</u>:-

Given volume of the largest rectangular box in the first octant

V = l b h

let (x ,y, z) be the one vertex in the given plane

V = f(x, y, z) = x y z

given plane.   Ф (x, y, z) = x + 9y + 4z = 27 ........(1)

<u>Step( ii):</u>

By using  Lagrange multipliers

Suppose it is required to find the extreme for the function f(x, y, z) subject to the condition Ф (x, y, z) =0

Form Lagrange function F(x, y, z) = f(x, y, z) + λ  Ф (x, y, z) where λ is called the Lagrange multipliers

F(x, y, z) = x y z+ λ ( x + 9y + 4z - 27) ......(2)

Obtain the equations are δ F / δ x = 0

                                  δ f / δ x +λ  δ Ф  / δ x =0

                           ⇒ y z + λ ( 1) = 0

                          ⇒ y z = - λ ......(a)

Obtain the equations are δ F / δ y = 0

                            δ f / δ x +λ  δ Ф  / δ x =0

                        ⇒ x z + λ ( 9) = 0

                        ⇒ \frac{xz}{9} = - λ .......(b)

Obtain the equations are δ F / δ z = 0

                                  δ f / δ x +λ  δ Ф  / δ z =0

                                   x y + λ ( 4) = 0

                                    ⇒ \frac{xy}{4} = - λ .......(c)

<u>Step (iii):-</u>

Equating (a) and (b) equations

we get         y z = \frac{xz}{9}

cancel 'z' value we get  x = 9y  .......(d)

Equating (b) and (c) equations

we get     \frac{xy}{4}  = \frac{xz}{9}

cancel 'x' value on both sides , we get

              4z =9y  ......(e)

substitute (d) (e) values in equation (1)  we get

x + 9y + 4z -27 = 0

9y + 9y + 9y -27 =0

27y -27 =0

<u> y = 1</u>

substitute y =1 in x = 9y

<u>x = 9</u>

substitute y =1 in 4z =9y

<u>z = 9 /4</u>

therefore the dimensions are x =9 , y=1 and z = 9 /4

<u>Conclusion</u>:-

The largest volume of the rectangular box V = x y z

substitute x =9 , y=1 and z = 9 /4

V = 9(1)(9/4) =81/4

The largest volume of the rectangular box (V) = 81/4

Verification :-

Given plane x + 9y + 4z = 27

substitute x =9 , y=1 and z = 9 /4

              9 + 9 + 4(9/4) = 27

           27 =27

so satisfied equation

     

3 0
3 years ago
Please help I am so confused
Ede4ka [16]

The total cost when 881 minutes is used is $477.50.

<h3>What are the equation that model the question?</h3>

a + 480b = 277 equation 1

a + 990b = 532 equation 2

Where:

  • a = flat fee
  • b = variable fee

<h3>What is the flat fee and the variable fee?</h3>

Subtract equation 1 from equation 2

510b = 255

b = 255 / 510

b = $0.50

In order to determine the flat fee, substitute for b in equation 1

a + 480(0.5) = 277

a + 240 = 277

a = 277 - 240

a = $37

<h3>What is the total cost when 881 minutes is used?</h3>

Total cost = flat fee + (variable cost x number of minutes spoken)

$37 + (881 x 0.5) = $477.50

To learn more about simultaneous equations, please check: brainly.com/question/25875552

#SPJ1

7 0
1 year ago
Other questions:
  • Foster’s answer to the question he wrote for Ranger was 7x + (–3), while Ranger’s answer was 7x – 3. They both checked their wor
    11·2 answers
  • Compare the mean of the population with the mean of a sample.
    14·2 answers
  • The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
    6·1 answer
  • Our car has a 15-gallon gas tank. A lower grade of gasoline costs $2.96 per gallon. The premium grade gasoline costs $3.15 per g
    6·2 answers
  • What is <br><br>r+15=36<br><img src="https://tex.z-dn.net/?f=r%20%2B%2015%20%3D%2036" id="TexFormula1" title="r + 15 = 36" alt="
    12·1 answer
  • Can someone help me :(
    6·2 answers
  • Which fraction has a terminating decimal as a decimal expansion <br> 1/3<br> 1/5<br> 1/7 <br> 1/9
    14·1 answer
  • Plz help IT HARD WILL MARK BRAIN
    5·2 answers
  • What is
    13·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!