Which choice best describes the angles st
1 answer:
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Answer:
Interest in 3 years = $456.52
Step-by-step explanation:
As we know the the formula of compound interest
Total amount =
Here n = number of times amount is compounded
r = rate of interest
t = period
Here A = $2500
r = 0.0575
n = 1 (compounded annually)
t = 3 years
Therefore amount after 3 years
P =2500(1.0575)³
= 2500×1.18
= $2956.52
We have to calculate the interest then
Interest = $2956.52-$2500 = $456.52
So after 3 years interest gained = $456.52
The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
<h3>What is a sequence?</h3>It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The total length of the wood = 90 in
We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.
We can cut it like:
1 in, 2 in, 3 in, 4 in, and so on
The above shows the arithmetic sequence,
The sum of the n natural number is given by:
After solving, we will get a quadratic equation:
n² + n -180 = 0
After solving, we will get:
n = 12.92 and n = -13.92(term can not be negative)
n = 12 (taking whole number)
Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
Learn more about the sequence here:
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