<span>it depends how the interest is calculated, but there's not much of a difference
assuming its continuously compouned, you use this formula: A(t)=Pe^(rt), where A is the final amount, P is the initial investment, r is the interest, and t is the time in years
you want to find t such that A(t)=18,600 so 18,600=1000e^(.0675t)
you need to use logarithm to figure it out, take the natural log of both sides
the following properties will come into use:
ln(a*b)=ln(a)+ln(b)
ln(a^b)=bln(a)
ln(e)=1
taking the natural log
ln(18,600)=ln(1000e^(.0675t))
ln(18,600)=ln(1000)+ln(e^.0675t)
ln(18600)=ln(1000) + .0675t
now solve for t: t= (ln(18600)-ln(1000))/.0675
t=43.31</span>
For this case we have the expression:
"the square root of 4" is represented algebraically as:
Then, we can express the given statement as:
They are similar terms, we can subtract:
By definition of power properties we have that:
![\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20n%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bn%7D%20%7Bn%7D%7D%20%3D%20a)
Then the expression is reduced to:
Answer:
-20 = x + 16.....subtract 16 from both sides
-20 - 16 = x....combine like terms
-36 = x
Answer:
No. Se below for explanation
Step-by-step explanation:
If it is a right triangle it sides must meet the Pitgoras Theorem, wich says that the legs squared when summed must be equal to the square of the hypotenuse. Here the legs would be the sides of length 10 and 18, as the hypotenuse is always the longest. So we need to see:
10^ 2 + 18^2 = x
if x is equal to 21^2, so we can have a right triangle, if not, we cannot.
10^ 2 + 18^2 = 100 + 324
10^ 2 + 18^2 = 424
But:
21^2 = 441
So, as 10^2 + 18^2 < 21^2 this can not be a right triangle.
