The account balance after 3 years if the interest is compounded continuously is $5,142.62
<h3>How to find compound interest?</h3>
- Principal, P = $4,700
- Time,t = 3 years
- Interest rate, r = 3%
r = 3/100
r = 0.03 rate per year,
A = Pe^rt
A = 4,700.00(2.71828)^(0.03)(3)
= 12,775.916^0.09
A = $5,142.62
Therefore, the account balance after 3 years if the interest is compounded continuously is $5,142.62
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First simplify this inequality:

Now you can graph this inequality. Draw the vertical dashed line x=3 and shade the region to the right from this line. This is exactly the region that represents the solution of inequality (see attached diagram for details).
Answer:
15
Step-by-step explanation:
Square root of 5=√5
Square of the square root=(√5)^2
=5
Square root of 3=√3
Square of the square root=(√3)^2
=3
So (square root of 5)^2×(square root of 3)^2
5×3
15
Therefore the final answer is 15
Answer:
Step-by-step explanation:
The main part of the song is the end. The beginning length is based on the end and so is the middle length. The beginning length is 1/6 as long as the end, so if the end is our main unknown, x, the beginning is 1/6x. The middle is one-half as long as the end, so if the end is our main unknown, x, the middle is 1/2x. The sum of the 3 parts is 370, so:

The GCF of those denominators is 6, so multiply through every term by 6 to get rid of the fractions:

Simplifying gives us
6x + x + 3x = 2220 and
10x = 2220 so
x = 222
That means that the end is 222 seconds, the bginning is 37 seconds, and the middle is 111 seconds.