Answer:
31.334... years
Step-by-step explanation:
Initial value = $500
r = 1.5%
t = ?
A = (500)![e^{.015*t}](https://tex.z-dn.net/?f=e%5E%7B.015%2At%7D)
I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.
A/500 = ![e^{.015*t}](https://tex.z-dn.net/?f=e%5E%7B.015%2At%7D)
ln A/500 = ln![e^{.015*t}](https://tex.z-dn.net/?f=e%5E%7B.015%2At%7D)
ln A/500 = .015*t
ln(A/500)/.015 = t
t = ln(A/500)/.015
To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.
t= ln(800/500)/.015 = 31.334...(rounded) years
We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!
Answer:
linear
Step-by-step explanation:
So, the slope is constant, meaning the graph is a straight line.
So, it is linear.
Answer:
x=-30
Step-by-step explanation:
................
Need more detail to solve
The engineer's distance from the building, the building's height and the engineer's line of sight form a right angle triangle.
Thus, we apply:
tan∅ = height/base
base = 250/tan(46)
base = 241.4 feet
So 241 feet