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2 years ago

What is the final balance for the investment? $1500 for 3 years at 10% compounded annually A.$1625.00 B.$1875.00 C.$1996.50

D.$2110.50

Mathematics

1 answer:

VikaD [51]2 years ago

4 0

$the\ final\ balance:\\ \\FB=1500\cdot(1+ \frac{10}{100} )^3=1500\cdot(1,1)^3=1500\cdot1.331=1,996.50\ [\$]\\ \\Ans.\ C$

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General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
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Parametric Differentiation

Integration

Integrals
Definite Integrals
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Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.$

Interval [0, π]

Step 2: Find Arc Length

[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: $\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.$
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Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e

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