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
Find the first four terms of the sequence<br> An=2a n-1,where a1=3
yKpoI14uk [10]

The first four terms of the sequence are 3 , 6 , 12 , 24

Step-by-step explanation:

We need to find the first four terms of the sequence a_{n}=2a_{n-1}

where a_{1}=3 to find them do that

  • Substitute n by 2 in the rule to find a_{2}
  • Substitute n by 3 in the rule to find a_{3}
  • Substitute n by 4 in the rule to find a_{4}

∵ a_{n}=2a_{n-1}

- Substitute n by 2 to find the 2nd term

∴ a_{2}=2a_{2-1}

∴ a_{2}=2a_{1}

∵ a_{1}=3

∴ a_{2}=2(3)

∴ a_{2}=6

- Substitute n by 3 to find the 3rd term

∴ a_{3}=2a_{3-1}

∴ a_{3}=2a_{2}

∵ a_{2}=6

∴ a_{3}=2(6)

∴ a_{3}=12

- Substitute n by 4 to find the 4th term

∴ a_{4}=2a_{4-1}

∴ a_{4}=2a_{3}

∵ a_{3}=12

∴ a_{4}=2(12)

∴ a_{4}=24

The first four terms of the sequence are 3 , 6 , 12 , 24

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

3 0
3 years ago
On any given day, the probability that a large local river is polluted by carbon tetrachloride is 0.12. Each day, a test is cond
babymother [125]

Answer:

a) 0.2416

b) 0.4172

c) 0.0253

Step-by-step explanation:

Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .

denoting event a A=the test proves correct and B=the river is polluted

a) the test indicates pollution when

- the river is polluted and the test is correct

- the river is not polluted and the test fails

then

P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416

b) according to Bayes

P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)

then

P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172

c) since

P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+  0.16*0.12 = 0.7584

the rate of false positives is

P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253

4 0
3 years ago
I will mark you brainliest if you help me im not lying
aksik [14]

Answer:

60 miles

I hope this helps.

5 0
3 years ago
Read 2 more answers
Simply this algebraic expression y-3/3+12
kondaur [170]

Answer:

add 12 +9 because i had that same answer on my quiz last week

3 0
3 years ago
Read 2 more answers
Find the area of a parallelogram with base b and height h b=74 cm h=14.8 cm
dexar [7]

The answer is A. 88.8 cm2

Work:

74 x 2 = 148

14.8 = 29.6

Add them = 177.6

then \frac{177.6}{2} = 88.8

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the vertex of the graph of y=3(x-1)2+2
    6·2 answers
  • What does (fog)(x) mean?
    5·2 answers
  • (6•8)+(4•10)+(4•6)+(4•8)​
    13·2 answers
  • What is 6.25 as a fraction in simplest form
    14·2 answers
  • Find f(0) and f(2) for the given exponential function. f(x) = (1/2)^-x
    11·1 answer
  • The positions of two divers from the water’s surface after a dive are shown:
    7·1 answer
  • Find three consecutive natural numbers if the square of the smallest number is 65 less than the product of the two remaining num
    11·1 answer
  • How to solve this problem
    5·1 answer
  • 4/10 + 40/100 = ? Help please
    7·2 answers
  • On the last day of the school book fair or pencils were one set price and all books with a different set price Sammy bought two
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!