Answer:
The compounded annually account will earn more interest over 10 years
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
The rule of the compounded interest is A = P, where
- n is the number of periods
The interest I = A - P
∵ Each account start with $200
∴ P = 200
∵ They have an interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ One account earns simple interest and the other is compounded
annually
∴ n = 1 ⇒ compounded annually
∵ The time is 10 years
∴ t = 10
→ Substitute these values in the two rules above
∵ I = 200(0.05)(10)
∴ I = 100
∴ The simple interest = $100
∵ I = A - P
∵ A = 200
∴ A = 325.7789254
∵ I = 325.7789254 - 200
∴ I = 125.7789254
∴ The compounded interest = $125.7789254
∵ The simple interest is $100
∵ The compounded interest is $125.7789254
∵ $125.7789254 > $100
∴ The compounded annually account will earn more interest
over 10 years
Answer:
192π yd²
Step-by-step explanation:
Surface area of a cylinder = 2πrh
Given, r = 8yd , h = 12yd
S. A = 2 × π × 8 × 12
S. A = 192π yd²
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Answer:
√x
Step-by-step explanation:
First, simplify -3⁄6 to -½. Next, according to the Negative Exponential Rule, move the denominator to the numerator to get x¹\²:
bⁿ = 1\b⁻ⁿ
Then, according to the Definition of Rational Exponents [part I], rewrite this as a radical, which in this case would be √x. This is when your numerator is 1:
ⁿ√aᵐ = aᵐ\ⁿ
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Answer:
The required probability is 0.04411
Step-by-step explanation:
The number of female grey mice = 5.
The number of males grey mice = 4.
The number of female white mice = 2.
The number of male white mice = 6.
The number of mice = 17.
The probability of first mice be male grey =
The probability of second mice be male grey =
The probability of two mice be male grey = = 0.04411
Answer:
21 ft
Step-by-step explanation:
C = 2πr
Filling in the given values, we have ...
131.88 ft = 2·3.14·r . . . . we can find r by dividing by its coefficient
131.88 ft/6.28 = r = 21 ft