The final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697
<h3>Compound interest</h3>
The formula for calculating the compound interest is given as:
A = P(1+r/n)^nt
Given the following parameters
A = 10000(1+0.04/4)^4(6)
A = 10000(1+0.01)^24
A = 10000(1.01)^24
A = 1.2697(10,000)
A = $12,697
Hence the final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697
Learn more on compound interest here: brainly.com/question/24924853
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Answer:
An independent clause is a group of words that contains both a subject and a predicate. It expresses a complete thought and can stand alone as a sentence. It can also be joined to other dependent or independent clauses to make a more interesting and complex sentence.Step-by-step explanation:
Answer:
2/3 i think
Step-by-step explanation:
Answer:70 m
Step-by-step explanation:
Answer:
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
Step-by-step explanation:
d²y/dx² = (-2y² − x²) / (4y³)
Take the derivative (use quotient rule and chain rule):
d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²
d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)
d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)
d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)
d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)
Substitute:
d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)
d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
