<span>Let a_0 = 100, the first payment. Every subsequent payment is the prior payment, times 1.1. In order to represent that, let a_n be the term in question. The term before it is a_n-1. So a_n = 1.1 * a_n-1. This means that a_19 = 1.1*a_18, a_18 = 1.1*a_17, etc. To find the sum of your first 20 payments, this sum is equal to a_0+a_1+a_2+...+a_19. a_1 = 1.1*a_0, so a_2 = 1.1*(1.1*a_0) = (1.1)^2 * a_0, a_3 = 1.1*a_2 = (1.1)^3*a_3, and so on. So the sum can be reduced to S = a_0 * (1+ 1.1 + 1.1^2 + 1.1^3 + ... + 1.1^19) which is approximately $5727.50</span>
The percent of change is 73.33 percent
Answer:
21/2
Step-by-step explanation:
Radius = 13 inches
Circumference of wheel = 1 revolution
2πr = 2 x 3.14 x 13 = 81.64 inches
1 revolution = 81.64 inches
30 revolutions = 2449.2inches
Answer:
36 inches
Step-by-step explanation:
Let's draw a parallelogram real quick:
W _____________________ X
/ /
Y /____________________/ Z
So, we know that WY and ZX are the short sides and that they both equal 12. We also know that YZ and WX are the long sides and are 3x longer.
12*3 is 36 inches.
