What is the final amount when investing $1400 compounded continuously at 7.5% for 12 years?
1 answer:
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Answer:
Ladonna: a + c + b
Step-by-step explanation:
-The commutative property in addition states that the order of arrangement of the integers to be added has no effect on their sum such that:
-Since the alphabet follows the order a,b, c....
Only Ladonna rearranged to change this order to show the commutative property.
-Hence, Ladonna wrote the expression correctly.
*The commutative property should not be confused with the associative property.
-The latter allows you to change the order and terms within the closed parentheses while retaining the answer.
Answers:
a = -6/37
b = -1/37
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Explanation:
Let's start things off by computing the derivatives we'll need
Apply substitution to get
I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.
The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero
a-6b = 0
a = 6b
At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)
-6a -b = 1
-6(6b) - b = 1 .... plug in a = 6b
-36b - b = 1
-37b = 1
b = -1/37
Use this to find 'a'
a = 6b
a = 6(-1/37)
a = -6/37