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
nikitadnepr [17]
3 years ago
9

Mr.rodriguez invests half money in land a tenth in stocks and a twentieth in bonds he puts the remaining 35,000 in his savings a

ccount what is the total amount of money that Mr Rodriguez saves and invests
Mathematics
2 answers:
anastassius [24]3 years ago
5 0

Answer:

100000

Step-by-step explanation:

Let total amount of money that Mr. Rodriguez saves and invests be x

Money invested in land = \frac{x}{2}

Money invested in stocks = \frac{x}{10}

Money invested in bonds = \frac{x}{20}

Money in savings account = 35,000

According to question ,

Money invested in land + Money invested in stocks + Money invested in bonds + Money in savings account = Total amount of money that Mr. Rodriguez saves and invests

\frac{x}{2}+\frac{x}{10}+\frac{x}{20}+35000=x\\\\35000=x-\frac{x}{2}-\frac{x}{10}-\frac{x}{20}\\\\35000=\frac{20x-10x-2x-x}{20}\\35000=\frac{7x}{20}\\\\\frac{35000\times 20}{7}=x\\5000\times 20=x\\100000=x

Elena-2011 [213]3 years ago
3 0

Answer:  $100,000

<u>Step-by-step explanation:</u>

   Land  +  Stocks  +  Bonds  +  Savings  =  100%

    \dfrac{1}{2}x    +    0.1x     +    \dfrac{1}{20}x       +  35,000   =  1.00x  

=  0.5x   +     0.1x   +     0.05x  +  35,000  =  1.00x

=                                    0.65x  +  35,000  =  1.00x

                                                     35,000  =  0.35x

                                                     \dfrac{35,000}{0.35}=\dfrac{0.35x}{0.35}

                                                    100,000  =  x  

You might be interested in
The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r ​
dusya [7]

Answer:

r=\frac{14}{3}

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r

7 0
2 years ago
Which transformations were used to create triangle A’B’C’?
zhenek [66]

hi

dilation by a scale factor of 2 and a reflection across the y-axis dilation by a scale factor of 2 and a rotation of 90 clockwise about the origin dilation by a scale factor of 1/2 and a reflection across the y-axis dilation by a scale factor of 1/2 and a rotation 90 counter-clockwise about the origin of.

5 0
2 years ago
Pete has 4 packs of gum balls. Each pack has 5 gum balls. If Pete gives the same number of gum balls to 6 friends, how many gum
hodyreva [135]

Answer:

3 1/3 gum balls per friend

Step-by-step explanation:

Packs of gum balls Pete has = 4

Each pack = 5 gum balls

Total gum balls Pete has = Number of packs of gum balls × Number of gum balls in each pack

= 4 × 5

= 20 gum balls

Pete gives the same number of gum balls to 6 friends.

Each friend gets = Total gum balls / number of friends

= 20 gum balls / 6 friends

= 3 2/6 gum balls per friend

= 3 1/3 gum balls per friend

7 0
3 years ago
Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld? federal
tangare [24]

Chuck has a gross pay of $815.70. His gross pay will be reduced by:

  • Federal tax of $56;
  • Social Security tax that is 6.2% of his gross pay;
  • Medicare tax that is 1.45% of his gross pay;
  • State tax that is 19% of his federal tax.

Let's count:

1. gross pay of $815.70 - 100%,

Social Security tax of $x - 6.2%.

Then

\dfrac{815.70}{x}=\dfrac{100}{6.2} ,\\ \\815.70\cdot 6.2=x\cdot 100,\\ \\x=\dfrac{815.70\cdot 6.2}{100} =50.5734.

2. gross pay of $815.70 - 100%,

Medicare tax of $y - 1.45%.

Then

\dfrac{815.70}{y}=\dfrac{100}{1.45} ,\\ \\815.70\cdot 1.45=y\cdot 100,\\ \\y=\dfrac{815.70\cdot 1.45}{100} =11.82765.

3. Federal tax of $56 - 100%,

State tax $z - 19%.

Then

\dfrac{56}{z}=\dfrac{100}{19} ,\\ \\56\cdot 19=z\cdot 100,\\ \\z=\dfrac{56\cdot 19}{100} =10.64.

4. Chuck’s gross pay will be reduced by

\$56+\$50.5734+\$11.82765+\$10.64=\$129.04105\approx \$129.04.

3 0
3 years ago
Read 2 more answers
Ms. Fox loves to eat cereal and she notices that she only has 1/3 of the box of cereal left. If she spread that amount across 5
IceJOKER [234]

Answer:

1/15

Step-by-step explanation:

Ms. Fox loves to eat cereal and she notices that she only has 1/3 of the box of cereal left. If she spread that amount across 5 days, how much cereal will she have for each day?

The amount of cereal she would have per day is calculated as:

5 days = 1/3 of the box

1 day = x

Cross Multiply

5 days × x = 1 day × 1/3 of the box

x = 1/3 ÷ 5

x = 1/3 × 1/5

x = 1/15 of the box

8 0
2 years ago
Other questions:
  • Change 4 3/5 to a improper fraction
    14·1 answer
  • Which of the following expressions is the conjugate of a complex number with 2 as the real part and 3i as the imaginary part?
    7·2 answers
  • What equation is graphed in this figure?
    12·2 answers
  • When combining like terms what is -9a + a?
    9·2 answers
  • The dimensions of a CD case are 14.2cm by 12.5cm. Each case is approxiomately 1cm deep. What would be the volume of this stack o
    6·1 answer
  • Help HELP HELP ME PLEASEEEE
    11·1 answer
  • In a particular week, Mary
    9·2 answers
  • Find the length. Round your answer to the nearest tenth
    5·1 answer
  • Trisha knit a total of 8 centimeters of scarf over 4 nights. How many nights will Trisha have to spend knitting in order to knit
    15·2 answers
  • Can someone help me with this area question
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!