A) V = P + PRT
<span>
V=P(1+RT)
P=A/(1+RT)
P = 6000 / (1 + .08 X 7)
P = 6000 / 1.56
P = $3,846.15</span>
Answer:
18 and 20, 4
Step-by-step explanation:
Math reasoning 1:
Set the first number as x and the other one as x+2 because it is a consecutive even number.
x+x+2=38
2x=36
x=18
18+2=20
The 2 consecutive numbers are 18 and 20
Problem solving 1:
Write out equation first, set the unknown number as x
5+x=9
x=4
Let's go ahead and construct an equation to show this. Together, they have 50 goldfish. This can be represented as =50.
Since we don't know how many Todd has, we're going to make a variable. We'll name it T, for Todd.
What about Andres? How many does he have? 10 more than Todd. Well, if Todd's amount is T, and Andres has 10 more, we can express that as T+10.
Now, just put the two pieces together! T+10=50.
The next step is inverse operations. You want to find out how many T is, so you need to get rid of the 10. To take 10 away from something is doing what? Subtraction! Be warned, though; whatever you do to one side of the problem, you have to do to the other. 10-10 is 0, and 50-10 is 40. Since we took the 10 away and 50 is now 40, what you're left with is T=40.
Wait a second.. wasn't "T" Todd's amount? Yep! That means that Todd has 40 goldfish. And we already know that Andres has 10, so there's your answer!
Answer:
![\sqrt{290}\ units](https://tex.z-dn.net/?f=%5Csqrt%7B290%7D%5C%20units)
Step-by-step explanation:
The distance between points
and
is
![\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D)
Hence, the distance between points
and
is
![\sqrt{(-4-7)^2+(5-18)^2}\\ \\=\sqrt{(-11)^2+(-13)^2}\\ \\=\sqrt{121+169}\\ \\=\sqrt{290}\ units](https://tex.z-dn.net/?f=%5Csqrt%7B%28-4-7%29%5E2%2B%285-18%29%5E2%7D%5C%5C%20%5C%5C%3D%5Csqrt%7B%28-11%29%5E2%2B%28-13%29%5E2%7D%5C%5C%20%5C%5C%3D%5Csqrt%7B121%2B169%7D%5C%5C%20%5C%5C%3D%5Csqrt%7B290%7D%5C%20units)