(We know this from a=1/9 and r=3)
Simplifying this, we get:
Since we're finding the first term that exceeds 1000, let's set it equal to 1000.
Multiplying both sides by 27
n≈9.2
We have to round n up, since if n=9, the value would be <1000.
Therefore n=10. Substituting n=10,
=2187
Therefore the first term that exceeds 1000 is 2187, and it is the 10th term
1/2x+20=1/3x+30
Subtract 20 on both sides
1/2x=1/3x+10
Subtract 1/3x on both sides
1/6x=10
Multiply by 6 on both sides
X=60
1. All you have to do to find the area of the figure. IS first find the area of the rectangle. This is easy because all you have to do is base times height.
22 x 17 = 374
Now to find the area of the triangle all you have to do is do base times height like a rectangle, but then divide it by 2 afterwords.
19 x 12 = 228 ÷ 2 = 114.
Now add the two area's together:
374 + 114 = 488.
Just do the same with the one below, I've altered the pic a bit to make it easier.
Answer:
She will have paid $168 not including the original $75 and $243 with.
