Answer:
Ok so the original bill you full out is $32.00 in that box. and the next box put 15% of $32
Answer:
![300000= 100000 e^{0.12 t}](https://tex.z-dn.net/?f=%20300000%3D%20100000%20e%5E%7B0.12%20t%7D)
We divide both sides by 100000 and we got:
![3 = e^{0.12 t}](https://tex.z-dn.net/?f=%203%20%3D%20e%5E%7B0.12%20t%7D)
Now we can apply natural logs on both sides;
![ln(3) = 0.12 t](https://tex.z-dn.net/?f=%20ln%283%29%20%3D%200.12%20t)
And then the value of t would be:
![t = \frac{ln(3)}{0.12}= 9.16 years](https://tex.z-dn.net/?f=%20t%20%3D%20%5Cfrac%7Bln%283%29%7D%7B0.12%7D%3D%209.16%20years)
And rounded to the nearest tenth would be 9.2 years.
Step-by-step explanation:
For this case since we know that the interest is compounded continuously, then we can use the following formula:
![A =P e^{rt}](https://tex.z-dn.net/?f=A%20%3DP%20e%5E%7Brt%7D)
Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.
For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means
and we want to find the value for t.
![300000= 100000 e^{0.12 t}](https://tex.z-dn.net/?f=%20300000%3D%20100000%20e%5E%7B0.12%20t%7D)
We divide both sides by 100000 and we got:
![3 = e^{0.12 t}](https://tex.z-dn.net/?f=%203%20%3D%20e%5E%7B0.12%20t%7D)
Now we can apply natural logs on both sides;
![ln(3) = 0.12 t](https://tex.z-dn.net/?f=%20ln%283%29%20%3D%200.12%20t)
And then the value of t would be:
![t = \frac{ln(3)}{0.12}= 9.16 years](https://tex.z-dn.net/?f=%20t%20%3D%20%5Cfrac%7Bln%283%29%7D%7B0.12%7D%3D%209.16%20years)
And rounded to the nearest tenth would be 9.2 years.
Answer:
a. When two variables change in the same direction, one remaining larger than the other by the same factor - direct relationship
b. To insert between neighboring points or estimate by taking an average of known values - interpolate
c. A relationship between two variables in which the product remains constant. When one variable increases the other decreases in proportion so that the product is unchanged - inverse relationship
Answer:
தமிழ்நாட்டில் உள்ள நெல் வகைகளை குறிப்பிட்டு எழுதுக