<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>
Answer:
D
Step-by-step explanation:
when x=2,6 then y=0
when y=12 then x=0
only applies for D
9514 1404 393
Answer:
- The graph has an open circle at 7.
- The arrow points left.
Step-by-step explanation:
Adding 10 and dividing by 4, we have ...
4x < 28
x < 7
The comparison does not include the "equal to" case, so the circle at x=7 is open. Values of x less than 7 are in the solution set. Those values are found to the left of 7 on the number line.
- The graph has an open circle at 7.
- The arrow points left.
Answer:
8 in, 8 in and 20 in
Step-by-step explanation:
Let the equal sides of the isosceles triangle be x, then
The base = 2.5x
Sum the 3 sides and equate to the perimeter of 36
x + x + 2.5x = 36
4.5x = 36 ( divide both sides by 4.5 )
x = 8
Thus the 2 equal legs = 8 in
base = 2.5x = 2.5 × 8 = 20 in
You multiply the 4.00 by 0.10 to get the 10% discount amount. Then you subtract that from $4.00. Then you multiply that amount by 1.06 to get the total with the 6% sales tax. To get $3.82 rounded to the nearest cent.
