Answer:
5, 8, 11, 14, 17,....
f(n) = 5+3n where n is the number of steps after the first two. 7 steps is 20 faces.
Step-by-step explanation:
A sequence is a list of numbers that are related. The first number in the sequence is 5 since the first part of the stairs has 5 faces (5 squares, the dark don't count). Every time you add a "stair" you add 2 blocks - one underneath to support and one as the step. This adds 3 faces. So 5 becomes 8. Repeat and 8 becomes 11. You add 3 faces each time. So the sequence is
5, 8, 11, 14, 17,....
This is a constant pattern of adding 3 each time after the initial start. So we can write a rule. We start with 5 + 3(each stair step). So if the cube is 7 stairs high, that is 5 more repetitions of adding blocks after the start (remember the start has 2 steps already). So 5 + 3(5) = 20. 7 steps high will have 20 faces.
Even integers are in form 2n where n is a whole number
consecutive even integers are 2 apart
2n and 2n+2
2n is 10 more than 1/2 of (2n+2)
2n=10+1/2(2n+2)
2n=10+n+1
2n=11+n
minus n both sides
n=11
2n=22
2n+2=24
the numbers are 22 and 24
The answer is 7,500.
Hope that helped!!!
Answer:
Ed Moura invest $64000 in certificates of deposit paying 3%
Step-by-step explanation:
Ed Moura has $32000 invested in stocks paying 6%.
Additional money in certificates of deposit paying 3% =x
so that the average return on the two investments is 4%.
32000*6% +3%*x = 4%(32000+x)
32000*0.06 +0.03*x = 0.04(32000+ x)
1920 + 0.03x = 1280 +0 .04x
1920 - 1280 = 0.04x - 0.03x
0.01x = 640
x = 64000
x = $64000
x= $64000 in certificates of deposit paying 3%
Thank you.
