Answer:
$6960
Step-by-step explanation:
p is not the principle. It is the principal.
I = prt
p = $6000
r = 8% = 0.08
t = 2
I = ($6000)(0.08)(2)
I = $960
Total amount after 2 years = principal + interest
Total amount = $6000 + $960
Total amount = $6960
Answer:
![dAB=10\ units](https://tex.z-dn.net/?f=dAB%3D10%5C%20units)
Step-by-step explanation:
we know that
The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points
The formula to calculate the distance between two points is equal to
![d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y2-y1%29%5E%7B2%7D%2B%28x2-x1%29%5E%7B2%7D%7D)
we have
A(1, 1) and B(7, −7)
Let
(x1,y1)=A(1, 1)
(x2,y2)=B(7, −7)
substitute the given values in the formula
![dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}](https://tex.z-dn.net/?f=dAB%3D%5Csqrt%7B%28-7-1%29%5E%7B2%7D%2B%287-1%29%5E%7B2%7D%7D)
![dAB=\sqrt{(-8)^{2}+(6)^{2}}](https://tex.z-dn.net/?f=dAB%3D%5Csqrt%7B%28-8%29%5E%7B2%7D%2B%286%29%5E%7B2%7D%7D)
![dAB=\sqrt{64+36}](https://tex.z-dn.net/?f=dAB%3D%5Csqrt%7B64%2B36%7D)
![dAB=\sqrt{100}](https://tex.z-dn.net/?f=dAB%3D%5Csqrt%7B100%7D)
![dAB=10\ units](https://tex.z-dn.net/?f=dAB%3D10%5C%20units)
Answer:
Step-by-step explanation:
The slope-intercept form is found by solving that equation for y.
If
then
and
and
so
![y=\frac{1}{2}x+\frac{5}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D)
The answer you have chosen is the correct one! Good job!
Answer:
25
Step-by-step explanation:
12+13=25 so 25x5=125 and 125 divide 5=25
Your distance from Seattle after two hours of driving at 62 mph, from a starting point 38 miles east of Seattle, will be (38 + [62 mph][2 hr] ) miles, or 162 miles (east).
Your friend will be (20 + [65 mph][2 hrs] ) miles, or 150 miles south of Seattle.
Comparing 162 miles and 150 miles, we see that you will be further from Seattle than your friend after 2 hours.
After how many hours will you and your friend be the same distance from Seattle? Equate 20 + [65 mph]t to 38 + [62 mph]t and solve the resulting equation for time, t:
20 + [65 mph]t = 38 + [62 mph]t
Subtract [62 mph]t from both sides of this equation, obtaining:
20 + [3 mph]t = 38. Then [3 mph]t = 18, and t = 6 hours.
You and your friend will be the same distance from Seattle (but in different directions) after 6 hours.