<h2>
Answer:</h2>
n = 1
<h2>
Explanation:</h2>
Here we have the following Geometric Sequence:

Where:

The first term occurs when
. Next the second term occurs when
, the third term when
and so on. Therefore, the appropriate value of n that lies on the domain for n is
Answer:
the profit in the case when the shop is closed for 6 hours is $41
Step-by-step explanation:
The computation of the profit in the case when the shop is closed for 6 hours is shown below:
= Expression of the situation × number of hours in which the shop is closed
= 45 - 2 ÷ 3 × 6 hours
= $41
hence, the profit in the case when the shop is closed for 6 hours is $41
Therefore the third option is correct
<h3>
Answer: 139.5</h3>
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(55) = 80/x
x*cos(55) = 80
x = 80/cos(55)
x = 139.4757 approximately
x = 139.5
Answer:
a = 4
Step-by-step explanation:
y = 2x + 1 ......(1)
Going through y - y1 = m(x - x1)
m is slope and it is 2
y1 = 9 and x1 = a
y - 9 = 2(x - a)
y - 9 = 2x - 2a
y = 2x - 2a + 9 ........(2)
Equating (1) and (2)
2x + 1 = 2x - 2a + 9
Collecting like terms
2x - 2x + 2a = 9 - 1
2a = 8
a = 8/2
a = 4