-8 times 0.09 times -0.5
2 answers:
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Answer:
Using either method, we obtain:
Step-by-step explanation:
a) By evaluating the integral:
The integral itself can be evaluated by writing the root and exponent of the variable u as:
Then, an antiderivative of this is:
which evaluated between the limits of integration gives:
and now the derivative of this expression with respect to "t" is:
b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then
is continuous on [a,b], differentiable on (a,b) and
Since this this function is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:
Answer: a) $135,838.21 b) $46,130.05
<u>Step-by-step explanation:</u>
- A: accrued amount (balance)
- P: principal (initial amount invested)
- r: interest rate (in decimal form)
- t: time
(a) Given:
- A = 400,000
- P = unknown
- r = 12% = 0.12
- t = 9
(b) Given:
- A = 400,000
- P = unknown
- r = 12% = 0.12
- t = 18