Answer:
Approximately 22.97 years
Step-by-step explanation:
Use the equation for continuously compounded interest, which uses the exponential base "e":
![A=P e^{k*t}](https://tex.z-dn.net/?f=A%3DP%20e%5E%7Bk%2At%7D)
Where P is the principal (initial amount of the deposit - unknown in our case)
A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)
k is the interest rate : 5% which translates into 0.05
and t is the time in the savings account to triple its value (what we need to find)
The formula becomes:
![3P = P e^{0.05 * t}](https://tex.z-dn.net/?f=3P%20%3D%20P%20e%5E%7B0.05%20%2A%20t%7D)
To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:
![3 = e^{0.05 * t}](https://tex.z-dn.net/?f=3%20%3D%20e%5E%7B0.05%20%2A%20t%7D)
![ln(3) = 0.05 * t](https://tex.z-dn.net/?f=ln%283%29%20%3D%200.05%20%2A%20t)
![t = \frac{ln(3)}{0.05} = 21.972245... years](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7Bln%283%29%7D%7B0.05%7D%20%3D%2021.972245...%20years)
Answer:
C.
Step-by-step explanation:
The relationship is proportion if y/x is constant.
So it is C because 12/4 = 15/5 = 18/6 = 3.
Answer:
Jack
Step-by-step explanation:
90/18 = 5
180/45 = 4
Answer:
<em> </em><em>a </em><em>+</em><em> </em><em>5</em><em>b</em><em> </em><em>+</em><em> </em><em>5</em><em>c</em>
Step-by-step explanation:
here's your solution
=> 3a + 4b + 5c +(-2a) + b
=> solve for like term
=> 3a - 2a + 4b + b + 5c
=> a + 5b + 5c
hope it helps