Answer:
Y= 21x+10.25
Step-by-step explanation:
(1,31.25) (0,10.25)
Slope= 21
21X-0=y-10.25
Y= 21x+10.25
Anya's parents will have $44,440.71 after 6 years if they invested in a bank.
The interest rate given is an annual rate yet will be compounded quarterly. You therefore need to convert the interest rate to a quarterly rate.
= 4% / 4 quarters
= 1% per quarter
Number of periods:
= Number of years x Number of quarters in year
= 6 x 4
= 24 quarters
The amount they will have in their account is:
<em>= Amount x ( 1 + rate) ^ number of periods </em>
= 35,000 x ( 1 + 1%)²⁴
= $44,440.71
In conclusion, they will have $44,440.71 if they invested their money in a bank for 6 years.
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Answer:
Positive
Step-by-step explanation:
There are a couple ways we can go about this.
First, we can see that as x increases, so does y, so that means its positive
For perspective, if x is the amount of time and y is the number of sales, we can see that the sales are going up and not going down or staying at the same place
If you wanna check your work on that, you can plot two points and find the slope using y1-y1/x1-x2 and the slope will be positive.
We can also use the process of elimination, we know it can't be zero because it's not a straight, horizontal line and we know its not undefined because it isn't a straight vertical line, so it's between negative and positive, and since the line is going up, that means that it's positive.
X = number of cds on the rack
x + 7 = 30
x = 30 - 7
x = 23 <== so there are currently 23 cds on the rack
1) It's best to draw out a picture of a rectangle and label each corner with the coordinates given: Let's say (-5, 2) is point A, (-5, -2 1/3) is point B, (2 1/2, 2) is point C, and (2 1/2, -2 1/3) is point D.
2) That being said, line AB is one side of the rectangle, BC is another, CD is another, and lastly, AD is the fourth side.
3) We can use the distance formula and plug in the coordinates of each line to find how long every side is. Then you just need to solve it.
For example: if I want to find how long side AB is, I would use the point A (-5, 2) and B (2 1/2, 2) and plug them into the distance formula, where (-5, 2) is (x1, x2) and (2 1/2, 2) is (x2, y2) and solve that.
4) Repeat this process with side BC, CD, and AD, and add the results together. This will be your final answer; the perimeter of the rectangle.
