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BARSIC [14]
3 years ago
13

IF YOU ANSWER ALL OF THESE I WILL MARK YOU BRAINLIEST

Mathematics
1 answer:
hjlf3 years ago
5 0
1).  $2,700 is  (2,700/6,000) = 45% of  6,000.

      It took 6 years to earn it, so it earned (45%/6) = 7.5% each year.
      That's the simple-interest rate.
_________________________________

2).  The investment earns 4.5% each year, so it earned 9% in 2 years.

      The $1,150.65 is the 9% of the original investment.  Call it V.

      1150.65 = 0.09 x V .

Divide each side by 0.09 :

         V  =  1150.65 / 0.09  =  $12,785 .
____________________________________

3).  There are 18 marbles in the bag all together.

a).  8 of them are green.  If you close your eyes and pull out 1 marble,
the probability that it's a green one is
                                                               8/18 = 4/9  =  44.4% .

b).  If it was a red marble, and you put it in your pocket, then
there are only 17 in the bag now, and 8 of them are still green.

If you pull another one, the probability that it's green is

                                                               8/17  =  47.1% .
____________________________________

5).  There are 10 marbles in the bag all together.
(The second sentence doesn't say anything, and doesn't mean anything.)

If you pull out a silver marble and put it in your pocket, then
there are 9 marbles in the bag, and 2 of them are orange.

The probability of pulling an orange marble now is

                                  2/9  =  22.2% .
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two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term
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Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

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Solving both equation simultaneously

40 = a+5d

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Subtracting both equation

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56 = -14d

d = 56/-14

d = -4

Substituting d = -4 into equation

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Given a = 60, d = -4, to get the nth term of the sequence:

Tn = a+(n-1)d

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Tn = 60+(-4n+4)

Tn = 60-4n+4

Tn = 64-4n

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Answer:

C)

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Every x is 6 times bigger than y

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