- #1

Yankel

- 395

- 0

Hello all,

I have a few small questions regarding logarithms, which I would like to ask your help with.

1) A car loses 50% of it's value every 4 years. How many years does it take for the car to lose 1/3 of it's value ?

(I think you need log with basis of 2 here, but not sure)

2) A company sell an app for phones. In the first 6 months of the year the price goes up by 10% a month. During July, August and September the price went down by 5% each month. During October, November and December it went down by 8% each month. At the end of the year, did the company made profit or lost ? Given an answer in percentages. What is the average monthly interest rate ? Find a function and only then a numerical approximation.

Thank you !

In (2) can I say that the yearly price is:

\[f(x)=1.1^{6}0.95^{3}0.92^{3}x\]

where x is the price of the app ?

I have a few small questions regarding logarithms, which I would like to ask your help with.

1) A car loses 50% of it's value every 4 years. How many years does it take for the car to lose 1/3 of it's value ?

(I think you need log with basis of 2 here, but not sure)

2) A company sell an app for phones. In the first 6 months of the year the price goes up by 10% a month. During July, August and September the price went down by 5% each month. During October, November and December it went down by 8% each month. At the end of the year, did the company made profit or lost ? Given an answer in percentages. What is the average monthly interest rate ? Find a function and only then a numerical approximation.

Thank you !

In (2) can I say that the yearly price is:

\[f(x)=1.1^{6}0.95^{3}0.92^{3}x\]

where x is the price of the app ?

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