Answer:
£10.71
Step-by-step explanation:
Given the original price including discount od shorts = £15
Percent discount = 40%
Original price = x
Using the expression to calculate x
x + (40%of x) = 15
x +0.4x = 15
1.4x = 15
x = 15/1.4
x = £10.71
Hence the non sale price is £10.71
Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by ![4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82](https://tex.z-dn.net/?f=4%5C%20th%20%5C%20term%20%3D%20ar%5En-1%5C%5C-2.196%20%3D%204r%5E%7B4-1%7D%20%5C%5C-2.196%2F4%20%3D%20r%5E%7B3%7D%20%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B0.549%7D%20%5C%5Cr%20%3D%200.82)
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
![4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82](https://tex.z-dn.net/?f=4%5C%20th%20%5C%20term%20%3D%20ar%5En-1%5C%5C-2.196%20%3D%204r%5E%7B4-1%7D%20%5C%5C-2.196%2F4%20%3D%20r%5E%7B3%7D%20%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B-0.549%7D%20%5C%5Cr%20%3D%20-0.82)
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
Answer:
y = 6
Step-by-step explanation:
-4 + 3y = 14
+4 +4
3y = 18
---- ----
3 3
y = 6
Answer:
Step-by-step explanation: Approx. cost of 1 ounce is $0.11.
So a 44 ounce bottle for $5.00 is a better deal.
Answer:
10
Step-by-step explanation:
Since F is the midpoint of EG, EF and FG are equal. We know that FG is 4 units, so EF must be 4 units. We also know that FH and EF make EH, so we substitute the values that we have.
FH + EF = EH
6 + 4 = EH
EH = 10