Answer:
It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.
Step-by-step explanation:
Use the formula for continuous compounding
![X(t) = Pe^{rt}](https://tex.z-dn.net/?f=X%28t%29%20%3D%20Pe%5E%7Brt%7D)
where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.
(this formula can be beautifully derived from just basic considerations, btw)
We are given t=5, and percent increase on the initial P, so we can solve for r
![X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%](https://tex.z-dn.net/?f=X%285%29%20%3D%201.5P%3DPe%5E%7Br%5Ccdot5%7D%5C%5C1.5%3De%5E%7Br%5Ccdot5%7D%5C%5C%5Cln%201.5%3D%5Cln%20e%20%5E%7B5r%7D%5C%5C%5Cln%201.5%3D5r%5C%5Cr%20%3D%20%5Cfrac%7B%5Cln%201.5%7D%7B5%7D%3D0.081%5Crightarrow%208.1%5C%25)
It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.
Answer:
35 hours that week
Step-by-step explanation:
280÷8=35
35 hours that week
Answer:
A
Step-by-step explanation:
hope this helps please brainiest
Good evening ,
Answer:
<h2>•• Inner product = 3×2 + 1×8 + 4×2 = 22</h2><h2 /><h2>•• since 22 ≠ 0 then the vectors are not perpendicular.</h2>
:)