<u>Answer:</u>
The 4th term of the geometric sequence with = 5 and ratio (multiplier) = -3 is -135
<u>Solution:</u>
Given that, first term a of a G.P = 5 and common ratio ( r ) = -3 for an geometric progression.
We have to find the 4th term of the above given geometric progression
We know that, nth term of an G.P is given by

So, now, 4th term is


hence, the 4th term of the given G.P is -135
to find the vertical height
multiply the tangent of the angle by the horizontal distance
so tan(12) x 5 = 1.0628
rounded to nearest hundredth = 1.06 miles
Answer:
C) The cost increases $2.50 for every additional pair of shoes rented.
Step-by-step explanation:
Notice a pattern. When you buy a new pair of shoes, the total gets increased by $2.50 depending on how many pairs of shoes you buy. For example, starting with 1 pair of shoes, it costs $2.50, but when you buy another pair, the cost is $2.50+$2.50=2*$2.50=$5.00, and so on...
Therefore, the correct choice is C
Answer:
a) x changes by 6.5 units
b) y changes by 13 units
Step-by-step explanation:
a. Over this interval, how much does x change by?
Initially, we have that x = 2.
In the end, we have that x = 8.5.
So x changes by 8.5-2 = 6.5 units
b. Over this interval, how much does y change by?
Initially, when x = 2, we have that y = 2x + 11 = 2*2 + 11 = 15
In the end, when x = 8.5, we have that y = 2*8.5 + 11 = 28
So y changes by 28 - 15 = 13 units