Answer:
(-3, 4) is a solution
Step-by-step explanation:
The point (-3, 4) is inside the shaded area of the graph, so is a solution.
You can check in the inequality
y > -2x -3
4 > -2(-3) -3 . . . . substitute for x and y
4 > 3 . . . . . . . true; the given point is a solution
The first term a1 is given to be -4. The formula for the next terms: an = an-1 + 7 means to add 7 to the previous term to get the next.
-4, 3, 10, 17, 24, 31
Answer A
The total interest earned is 40.75 and the final balance is 65.75
<u>Solution:</u>
Given, principle amount P = 25
Interest rate
Times compounded per year n = 12
Time in years t = 30

On substituting the values we get
![A = 25 [ 1+ \frac{0.0325}{12}]^{12\times30}= 25 [2.63]= 65.75](https://tex.z-dn.net/?f=A%20%3D%2025%20%5B%201%2B%20%5Cfrac%7B0.0325%7D%7B12%7D%5D%5E%7B12%5Ctimes30%7D%3D%2025%20%5B2.63%5D%3D%2065.75)
Interest I = A - P [since, A = P+I]

Suppose that John has a pen that costs $5 and he has 9 similar pens. The total cost of the pens that John has is equal to the cost of his bag. If the cost of the bag is $45, write the verbal model of the situation.
So, cost of each pen = 5
Number of pens = 9
Total cost = 5 * 9
But, it is given that the total cost = cost of the bag and
cost of the bag = 45
So, total cost = 45 and
5 * 9 = 45.
Answer:

Therefore, option C is true.
Step-by-step explanation:
From the graph, we get the sequence
7, 5, 3, 1, ...
Here,
a₁ = 7 is the first element.
An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

substituting a₁ = 7 and d = -2 in the nth term of the sequence


Therefore, option C is true.