Given:
...(i)
For 
.
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
Now,
First term: 
Common difference:
nth term of a GP is
Putting a=3 and r=2, we get
Therefore, the equation for the nth term is .
Answer:$33.41
Step-by-step explanation:
I converted the percentages to decimals and subtracted them from 1.
(Btw x stands for the cost before tip and tax)
This was the equation I came up with based on what was given to me;
57.29 = (1-0.085)x + (1-0.2)x
57.29=0.915x + 0.8x
57.29=1.715x
Divide both sides by 1.715 and should get 33.40524781
Since we are rounding to the nearest cent, the answer would be $33.41
Answer:
Divide the numerator and denominator
Step-by-step explanation:
A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. The unit price is a type of ratio where the numerator is the price and the denominator is the quantity of a good or product.
The prism has 6 faces.
Each pair of opposite faces is congruent.
The front and back faces are rectangles that measure 10 cm by 5 cm.
The right and left faces are rectangles that measure 5 cm by 3 cm.
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Now we find the area of each rectangle.
The front and back faces are rectangles that measure 10 cm by 5 cm.
Each face:
A = 10 cm * 5 cm + 50 cm^2
The right and left faces are rectangles that measure 5 cm by 3 cm.
Each face:
A = 5 cm * 3 cm = 15 cm^2
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Each face:
A = 10 cm * 3 cm = 30 cm^2
There are two faces shaped like each rectangle above, so we multiply each rectangle's area by 2, and we add them together.
total surface area = 2 * 50 cm^2 + 2 * 15 cm^2 + 2 * 30 cm^2
total surface area = 100 cm^2 + 30 cm^2 + 60 cm^2
total surface area = 190 cm^2
The answer is A. The two should be the same
