Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10? –10, –12, –14, –16, –18, ... –2, 8, 18, 28, 38, .
Vedmedyk [2.9K]
Answer:
D
Step-by-step explanation:
Given
f(n + 1) = f(n) - 2 with f(1) = 10
To generate the sequence substitute values for n into the recursive formula.
f(1) = 10
f(2) = f(1) - 2 = 10 - 2 = 8
f(3) = f(2) - 2 = 8 - 2 = 6
f(4) = f(3) - 2 = 6 - 2 = 4
f(5) = f(4) - 2 = 4 - 2 = 2
The first 5 terms are 10, 8, 6, 4, 2
Answer:
and 
Step-by-step explanation:
The ratios of sine and cos are defined as follows:
, and
The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)
Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.
Thus, we can now write:
The correct answer is the first answer choice.
Answer:
The cost of the washing machine is P 3,544
The mark-up rate is 35.21%
Step-by-step explanation:
1. We want to calculate the cost
Mathematically, this is the difference between the selling price and the mark up
We have this as;
4,792 - 1,248 = P 3,544
2. Here, we want to calculate the mark-up rate
Mathematically, this is the percentage of mark-up
That is;
mark-up/cost price * 100%
: 1,248/3,544 * 100% = 35.21%
Answer:
Option C is correct.
Step-by-step explanation:
Interest = $ 125.08
Rate = 6 %
We know that interest is given by
P = $ 2084.67
This is the value of interest. Thus option C is correct.
