You paid $44 to a loan company for the use of $1,153 for 119 days, what annual rate of interest did they charge? (Assume a 360-d
1 answer:
Answer:
Ans. A) The annual rate that the company charged was 11.996%; B) if they charged you 11.186% annual rate, you would have to pay $41.14
Step-by-step explanation:
Hi, first we have to find out what is the effective 119 days rate and then turn it into an annual rate. This is as follows.
So the charged rate was 3.816% effective, 119 days, now let´s make it an annual rate.
This means that the equivalent rate to 3.816% effective 119 days ys 11.996% effective annually (or just annual).
Now, if they were to charge you 11.186% annual, you would have to make this rate effective 119 days, and then, multiply it by the principal ($1,153). Let´s change the rate first.
And the money that you will have to pay in interest is $1,153*0.03568=$41.14
Best of luck
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Answer:
a)
The combined resistance of a circuit consisting of two resistors in parallel is given by:
where
R is the combined resistance
are the two resistors
We can re-write the expression as follows:
Or
In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.
The derivative of R with respect to r1 is:
We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.
b)
To solve this part, we use again the expression for R written in part a:
We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,
So the interval of allowed values for r1 is
From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval
a ≤ r1 ≤ b
The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at
From the graph given
For f(x), where x = 3, on the graph f(3) is
For g(x), where x = 3, on the graph g(3) is
Hence,
The answer is the second option