FOR EASY BRAINLIEST!!! ANSWER WITH EXPLANATION: 1. 2. 3. 4.
1 answer:
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Answer:
Amount ($451.9), Interest ($51.9)
Step-by-step explanation:
We need to use the formula of A = P(1 + )^n*t
A = Total Amount
P = Principle/Deposited money
R = Annual Interest Rate
N = Number of times compounder per year
T = time in years
We have P = $400, r = 2.47%, n = 1 and t = 5 years.
Now lets plug it all in!
A = 451.9
Now we need to find the interest...
We will use A = P + I since A is 451.9 and P = 400
451.9 = 400 + I
I = 451.9 - 400
I = 51.9
From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.
The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:
where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that
which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.