Answer:
4760
Step-by-step explanation:
Simple interest formula:
PV(1+it)
4250(1+.04*3)=4760
Answer:
10 Minutes
Step-by-step explanation:
At roughly 10 minutes, the y-axis meets a point at the x-ais that can be shown as (40,10)
Answer:
y = 7x - 4
just as it says in words
You can see that the term
appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have
![(-4x -6y) - (-10x-6y) = 54-0 \iff 6x = 54 \iff x = 9](https://tex.z-dn.net/?f=%20%28-4x%20-6y%29%20-%20%28-10x-6y%29%20%3D%2054-0%20%5Ciff%206x%20%3D%2054%20%5Ciff%20x%20%3D%209%20)
Now that we know the value of
, we can substitute in any of the equation to deduce the value of
: if we use the first equation, for example, we have
![-10x-6y=0 \iff -10\cdot 9 - 6y = 0 \iff -90-6y=0 \iff 6y = -90 \iff y = -15](https://tex.z-dn.net/?f=%20-10x-6y%3D0%20%5Ciff%20-10%5Ccdot%209%20-%206y%20%3D%200%20%5Ciff%20-90-6y%3D0%20%5Ciff%206y%20%3D%20-90%20%5Ciff%20y%20%3D%20-15%20)
Answer: 3.82 miles
Step-by-step explanation:
According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.
So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire
, which is also the hypotenuse.
![d^{2}= (2.1 miles)^{2} +(3.2 miles)^{2}](https://tex.z-dn.net/?f=d%5E%7B2%7D%3D%20%282.1%20miles%29%5E%7B2%7D%20%2B%283.2%20miles%29%5E%7B2%7D)
![d=\sqrt{(2.1 miles)^{2} +(3.2 miles)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282.1%20miles%29%5E%7B2%7D%20%2B%283.2%20miles%29%5E%7B2%7D%7D)
Finally:
![d=3.82 miles](https://tex.z-dn.net/?f=d%3D3.82%20miles)