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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

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

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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

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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