Answer:
6745.09
Step-by-step explanation:
If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...
FV = P(1 +r/12)^(12·t)
for P = 5000, r = .05, t = 6.
Doing the arithmetic, we get ...
FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09
After 6 years, the bank account will be worth 6745.09.
_____
We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)
Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.
Answer:
![2\dfrac{11}{12}](https://tex.z-dn.net/?f=2%5Cdfrac%7B11%7D%7B12%7D)
Step-by-step explanation:
The first step is to ensure that all of the fractions have a common denominator.
![3\dfrac{1}{3}+\left( -2\dfrac{1}{4} \right) + 1\dfrac{5}{6}= \\\\3\dfrac{4}{12} - 2\dfrac{3}{12} +1 \dfrac{10}{12}= \\\\1\dfrac{1}{12}+1\dfrac{10}{12}= \\\\\boxed{2\dfrac{11}{12}}](https://tex.z-dn.net/?f=3%5Cdfrac%7B1%7D%7B3%7D%2B%5Cleft%28%20-2%5Cdfrac%7B1%7D%7B4%7D%20%5Cright%29%20%2B%201%5Cdfrac%7B5%7D%7B6%7D%3D%20%5C%5C%5C%5C3%5Cdfrac%7B4%7D%7B12%7D%20-%202%5Cdfrac%7B3%7D%7B12%7D%20%2B1%20%5Cdfrac%7B10%7D%7B12%7D%3D%20%5C%5C%5C%5C1%5Cdfrac%7B1%7D%7B12%7D%2B1%5Cdfrac%7B10%7D%7B12%7D%3D%20%5C%5C%5C%5C%5Cboxed%7B2%5Cdfrac%7B11%7D%7B12%7D%7D)
Hope this helps!
Answer:
I aint never seen 2 pretty best friends ;)
Step-by-step explanation:
C. Moved to a different location but congruent in size and shape.
Rigid motion transformations are when a shape is moved, rotated, reflected, or any other type of transformation but the size and shape stay the same.
Non-rigid is when an object is moved but the size and shape can change.
Hope this helps :))