Question

IF YOU ANSWER ALL OF THESE I WILL MARK YOU BRAINLIEST

1. A savings account is set up so that the simple interest earned on the investment
is moved into a separate checking account at the end of each year. If an
investment of $6,000 accumulates $2,700 of interest in the checking account
after 6 years, what is the annual simple interest rate on the savings account?


2. When invested at an annual interest rate of 4.5%, an account earned $1,150.65
of simple interest in 2 years. How much money was originally invested? If
necessary, round to the nearest cent.



3. A bag contains 4 red marbles, 6 blue marbles, and 8 green marbles.
a. If you select a marble from the bag at random, what is the probability that it
will be green?
b. Suppose you choose a red marble and do not put it back in the bag. If you
select another marble at random now, what is the probability that it will be
green?


5.Suppose a bag contains 3 purple marbles, 2 orange marbles, 1 black marble,
and 4 silver marbles. Find the probability when choosing at random.
Suppose you choose a silver marble, and you do not put it back in the bag. Find
P(orange) if you choose a second marble

Answer 1

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.
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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 .
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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% .
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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% .