Answer: the value of her investment after 4 years is £8934.3
Step-by-step explanation:
The formula for determining compound interest is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount invested.
t represents the duration of the investment in years.
From the information given,
P = 8000
r = 2.8% = 2.8/100 = 0.028
n = 1 because it was compounded once in a year.
t = 4 years
Therefore,
A = 8000(1+0.028/1)^1 × 4
A = 8000(1+0.028)^4
A = 8000(1.028)^4
A = £8934.3 to the the nearest penny
Answer:
a. 1/16 which is 6.2500%
b. 15/16 which is 93.7500%
Step-by-step explanation:
a. For each 'coin toss' the probability of getting tails is 1/2. If you toss the coin 4 times, the probability of getting tails all times is 1/2 * 1/2 * 1/2 * 1/2 = 1/16.
b. This one is a bit trickier.
When flipping four coins, you either could get all four heads or you could get at least one tail. Both events cannot happen at the same time. This means the two events are complementary.
Complementary events occur when there are only two outcomes, for example passing an exam or passing an exam. The complement means the exact opposite of an event.
Complementary probabilities always add to 1.
We saw in part (a) that the probability you get all tails is 6.25% or 1/16.
0.0625 was the probability of getting all four heads, so 0.9375 is the probability of anything else (getting one or more tails).
The decimal 0.9375 converts to the fraction 15/16.
The probability is 93.75%.
Answer:
120 cm. .here u go..
Step-by-step explanation:
Circumference: 2πr
C=18 so r= 18/2π= 9π
Arc length = rθ 6=(9π)θ θ=6/9π
Convert to degrees by multiplying by 180/π
6/9π x 180/π = 120 degrees
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