Answer:
1914
Step-by-step explanation:
interest for one year = 33
interest of 8 years = 264
1650+264 will be in the account in 8 years.
If we were to fold this into a prism, the rectangle on the left would be the base. The short sides of the triangles would fold to meet up with the 5 inch sides of the base. Then the rectangle on the right would fold down and fit between the two triangles, meeting up with the base. Visualizing the shape in 3 dimensions allows us to figure out the lengths of some sides. For example, the short sides of the triangles both equal 5 inches. Also, the long sides of the triangles equal 13 inches and the long side of the base is 8 inches.
The surface area is the area of all the surfaces.
8*5=40
8*12=96
2*(0.5*5*12)=60
13*8=104
Add these up..
40+96+60+104=300 in^2
X² - 6x + y² + 4y = 86
Complete the square:
x² - 6x + (9) + y²+4y + (4) = 86 + (9) + (4)
→(x - 3)² + (y + 2)² = 99
Center: (3, -2)
radius: √99 = 3√11
Answer:
(5,27)
Step-by-step explanation:
parabolas are symmetrical around the vertex. therefore x axis crossing points are equidistant from the vertex.
f(x) cross x axis when x=2 and x=8
the mid point of 2 and 8 is 5.
f(5)=-3(5-2)(5-8)
f(5)=27
vertex=(5,27)