Answer:
A) Three times x to the second power added to two times y which is added to a half.
B) Six times x plus two multiplied by y added to one by two
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Answer:
25
Step-by-step explanation:
Answer:
Triangles ABE and CDE are congruent by AAS.
Step-by-step explanation:
AB ≅ DC (Opposite sides of a parallelogram are congruent.
m < AEB = m < DEC (Vertical angles).
m < ABE = m < EDC ( Alternate Interior angles).
So triangles ABE and CDE are congruent by AAS.
Answer:
27 is correct.
Step-by-step explanation:
Answer: 19 years
Step-by-step explanation:
Given
Amount invested ![\$400](https://tex.z-dn.net/?f=%5C%24400)
Rate of interest ![R=6\%](https://tex.z-dn.net/?f=R%3D6%5C%25)
after 1-year amount becomes
![A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424](https://tex.z-dn.net/?f=A%3D400%5Cleft%20%281%2B6%5C%25%5Cright%29%5C%5CA%3D400%5Cleft%20%281%2B0.06%5Cright%29%5C%5CA%3D400%5Ctimes%201.06%5C%5CA%3D%5C%24424)
After n years it is
![A=400\left (1.06\right)^n](https://tex.z-dn.net/?f=A%3D400%5Cleft%20%281.06%5Cright%29%5En)
Sum accumulated is ![\$1200](https://tex.z-dn.net/?f=%5C%241200)
![\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}](https://tex.z-dn.net/?f=%5CRightarrow%201200%3D400%5Cleft%281.06%5Cright%29%5En%5C%5C%5CRightarrow%203%3D%5Cleft%281.06%5Cright%29%5En%5C%5C%5Ctext%7BTaking%20log%20both%20sides%7D%5C%5C%5CRightarrow%20n%3D%5Cdfrac%7B%5Cln%203%7D%7B%5Cln%201.06%7D%5C%5C%5C%5C%5CRightarrow%20n%3D18.85%5Capprox%2019%5C%20%5Ctext%7Byears%7D)