9514 1404 393
Answer:
s(t) = 2^(t-1)
Step-by-step explanation:
The amount in the account is the sum of the series ...
1 + 1 +2 +4 +8 +16 +...
We note that terms after the first are a geometric sequence with a first term 1 and a common ratio 2. The sum of such a sequence is ...
Sn = a1×(r^n -1)/(r -1) . . . . where n is the number of terms being summed
For our values, this simplifies to ...
Sn = 1×(2^n -1)/(2 -1) = 2^n -1
We notice here that the account balance is 1 more than this sum, and that n = t-1, so the balance a(t) is ...
s(t) = 1 +(2^(t -1) -1)
s(t) = 2^(t -1) . . . . . . the function showing how much Jerry has
Answer:
x = 25
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
2x+10 + 4x+20 = 180
Combine like terms
6x+30 = 180
Subtract 30 from each side
6x+30-30 = 180-30
6x = 150
Divide by 6
6x/6 = 150/6
x=25
Square units are the units of measuring area. Therefore, this question asks for the area of the room.
The room has the shape of a rectangle with:
length = 13 units and width = 9 units
The are of the rectangle can be calculated using the following rule:
area of rectangle = length * width
area of the room = 13 * 9 = 117 square units
Answer: So do you do the math of 32^2?
Step-by-step explanation:
Answer:
2 liters of orange juice
Step-by-step explanation:
We know that Gaby drank 3/4 liters of juice
3/4 liters is the same as saying 0.75 liters
3/4 = 0.75
if 0.75 is 3/8 of the container we just have to divide it by 3 and multiply it by 8 and so we will get the liters of the container
(0.75/3) * 8 =
0.25 * 8 =
2
then initially in the container there were 2 liters of orange juice
