Answer:
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Step-by-step explanation:
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Total number of marbles:
75 + 50 + 100 + 25 =
250
Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to
1/10.
Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to
1/5.
Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to
7/10.
To find the probability that each event occurs in order, simply multiply them all together.
Use the compound interest formula.
Let A = the ending amount
Let P = the principal
Let r = the interest rate
Let n = the amount compounded a year
Let t = time
A = P(1 + r/n) ^(n/t)
Substitute your numbers in
A = $7,000(1 + 0.06/4)^(4/7)
Solve for A
A = $7,059.81
101/400 or .3025 is your answer