Ending balance:$10,613.15
Total interest paid:$1,615.96
Total payments:$3,462.81
Answer:
akhavkreugvakrehfgv
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
The total number of marbles is 6+10 = 16
P (black) = black / total
= 10/16 = 5/8
With 200 draws, take the probability of P(black) times 200 since the marble is returned each time
200 * (5/8) = 125
We would expect to get 125 black marbles
Answer:
(5, - 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = - 2 → (1)
3x - y = 19 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
9x - 3y = 57 → (3)
Add (1) and (3) term by term to eliminate y
(2x + 9x) + (3y - 3y) = (- 2 + 57), that is
11x = 55 ( divide both sides by 5 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
2(5) + 3y = - 2
10 + 3y = - 2 ( subtract 10 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (5, - 4 )
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% .
