Answer:
See below
Step-by-step explanation:
the common ratio, r <1 so it CONVERGES (r = 1/2 in this series)
sum = a1 ( 1-r^n) / (1-r) = 1000(1-.5^10)/(1-1/2) = ~1998
for n= 30 this results in ~~2000
As it continues, the terms get smaller and smaller and the SUM converges on 2000.
Answer:
E
Step-by-step explanation:
for b bananas sold 0.40 profit
for a apples
Answer: x=1
Step-by-step explanation:
You need to open up the parenthesis so you multiply every term inside the parenthesis by -7.
1. -7x + 14 + 1 = 15 -7x
2. Combine like terms -7x + 15 = 15-7x
The two sides of the equation are the same so that means that x=1
To find how many miles per hour, we divide the number of miles hiked by the number of hours it took to hike them.
=15.12 miles ÷ 6.3 hours
=2.4 miles hiked per hour
Hope this helps! :)
So what we do is
area that remains=total area-triangle area that was cut out
we need to find 2 things
total area
triangle area
total area=rectange=base times height
area=(3x+4) times (2x+3)
FOIL or distribute
6x^2+8x+9x+12=6x^2+17x+12
triangle area=1/2 times base times height
triangle area=1/2 times (2x+2) times (x-2)=
(x+2) times (x-2)=x^2+2x-2x-4=x^2-4
so
total area=6x^2+17x+12
triangle area=x^2-4
subtract
area that remains=total area-triangle area that was cut out
area that remains=6x^2+17x+12-(x^2-4)=
6x^2+17x+12-x^2+4=
6x^2-x^2+17x+12+4=
5x^2+17x+16
area that remains is 5x^2+17x+16
