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Alona [7]
3 years ago
11

Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. log(x+9)-log x=3

Mathematics
1 answer:
zheka24 [161]3 years ago
4 0
(√6,0) (√5,-1) (-√6,0) (-√5,-1)
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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
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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.

r(Effective119Days)=\frac{44}{1,153} x100=0.038161

So the charged rate was 3.816% effective, 119 days, now let´s make it an annual rate.

r(annual)=(1+0.038161)^{\frac{360}{119} } -1=0.119965

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.

r(Effective119Days)=(1+0.11186)^{\frac{119}{360} -1}=0.03568

And the money that you will have to pay in interest is $1,153*0.03568=$41.14

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