The formula for compound interest
A = P( 1 + r/n) ^ (nt)
A is the amount in the account at the end
P is the principal balance or the amount initially invested
r is the annual interest rate in decimal form
n is the number of times it is coupounded per year
t is the number of years
A = 1800 ( 1+ .0375/1) ^ (1*6)
A = 1800 ( 1.0375)^6
A = 2244.92138
Rounding to the nearest cent
A = 2244.92
Step-by-step explanation:
100% = 33,000 ft
1% = 100%/100 = 33000/100 = 330 ft
6% = 1% × 6 = 330 × 6 = 1980 ft
that means the plane has to go down 1980 ft to
33,000 - 1980 = 31,020 ft
and then it goes up by 5000 ft :
31,020 + 5000 = 36,020 ft
that is the final altitude.
The given polynomial expressed as partial fraction is 5x^3 + 9/x
<h3>Polynomial function and partial fractions</h3>
Polynomial function are function that have a leading degree of 3. Given the expression below;
f(x) = (5x^4+9)/x
Applying partial fraction
Since the part fraction means separating the fraction into two parts, hence;
f(x) = 5x^4/x + 9/x
Simplify
Since there is value of x at both numerator and denominator, it will cancel out to have
f(x) = 5x^3 + 9/x
From the result, we can see that p(x) = 5x^3 and k = 9
Hence the given polynomial expressed as partial fraction is 5x^3 + 9/x
Learn more on polynomial here: brainly.com/question/2833285
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