Answer:
26
Step-by-step explanation:
if you convert 0.26 into a fraction you get 26/100 so the answer is 26.
Answer:
New balance = -151.89 + 4.5x
(where x is the value of the smaller deposit)
Step-by-step explanation:
The inicial balance was -126.89.
Then, it were made two deposits, one with the value of x, and one that is 3 1/2 times the other, that is, 3.5x.
Then, the customer made a withdraw of $25.
So, The new balance can be calculated as:
New balance = inicial balance + x + 3.5x - 25
New balance = -126.89 + 4.5x - 25
New balance = -151.89 + 4.5x
Answer:
7) 13 in. Because the hypotenuse is the longest length than opposite and adjacent.
8) 12 in. Because it has 90° angle.
9) 12 in
10) 5 in
Step-by-step explanation:
Well, to be perfectly honest in my humble opinion, of course without offending anyone who thinks different from my point of view but also by looking into this matter in a different perspective and without condemning one's view and by trying to make it objectified and considering each and everyone's valid opinion, I honestly believe that I completely forgot what I was going to say.
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.