Hey there!
To start, first let the variable, x, represent your first unknown number. Now, because the second number is 5 times the first, this will be represented as 5x (you simply multiply 5 to your variable of the first number, x).
Now, since the sum of the two numbers are 42, you can represent this by setting up this equation:
5x+x=42
Combine your like terms (terms of the same variable and are raised to the same power):
5x+x=42
6x=42
Divide both sides by 6 to solve for x:
6x/6=42/6
x=7
Because x represents the first number, your first number would be 7.
Now, since the second number is 5 times the first, you can find the second number by multiplying x by 5:
x=7
7*5=35
Your second number is 35.
To check if both numbers are correct, you can add your first number, 7 to your second number, 35, to see if you get 42 since you know their sum must be 42:
7+35=42
Therefore, your final answer would be that the first number is 7, and the second number is 35.
Hope this helps, and have a marvelous day! :)
Assuming the loan is as described, seven-year loan, which means that Kyle does not repay a cent before seven years.
This is a compound interest problem where n=7 years, interest rate i=0.05, and present value P=8000.
At the end of seven years, Kyle will have to pay
Future value = F = P(1+i)^n = 8000(1.05)^7 = 11256.80 (to the nearest cent)
The <em><u>correct answer</u></em> is:
Rotation of 90° counterclockwise about the origin and a translation 2 units right
Explanation:
A rotation 90° counterclockwise maps each point (x, y) to (-y, x). This means our points would be:
A(-4,3)→(-3, 4); B(-1,3)→(-3, -1); C(-2,1)→(-1, -2)
A translation 2 units right will add 2 units to the new x-coordinates; this gives us
(-3, 4)→(-1, 4); (-3, -1)→(-1, -1); and (-1, -2)→(1, -2)
These are the points in the image, so this is the correct set of transformations.
The equation would be:
y = 3x + 15
1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y
2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15
3) you already defined the variables
4) 3(5)+15 = 15+15 = 30 seashells
I hope this helps!
