Answer:
see explanation
Step-by-step explanation:
Using De Moivre's theorem
Given
[ 4(cos15° + isin15° ) ]³, then
= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]
= 64 (cos45° + isin45° )
= 64 (
+ i )
= 64 ( (1 + i) )
= 32
(1 + i)
= 32 + 32 i
Answer:
Step-by-step explanation:
<em><u>Given:</u></em>
<em><u>Solve for:</u></em>
<em><u>Solution:</u></em>
(1) Let's move all of components that do not contain (our target) to the right side (notice the change of sign of 
from negative to positive):
(2) Let's divide both sides of equation by 4:
(3) Now, we simplify the left side:
This is the solution.
Hope this helps!
:)
Use the compound interest formula.
A = P*(1 +r/n)^(n*t)
where P is the principal, r is the annual rate, n is the number of compoundings per year, and t is the number of years.
For the first investment, ...
A = 208,000*(1 +.08/4)^(4*5) = 309,077.06
For the second investment, ...
A = 218,000*(1 +.07/2)^(2*4) = 287,064.37
Totaling both investments at maturity, Megan has $596,141.43.
Both diameter and height are scaled by 2.5.
Area is measured in squared units ( square centimetres).
Square the scale factor:
2.5^2 = 6.25
Multiply the area of the smaller vase by the scale:
2826 x 6.25 = 17,662.5 square cm.
