Answer:
slope=1/3
Step-by-step explanation:
the equation is in slope-intercept form (y=mx+b) and m always equals slope in that equation, so in your equation m=1/3, so slope=1/3
Answer:
The distance between the tallest building and the statue is 5 miles, so as the statue is inside the range of 7 miles, it can be seen from the tallest building.
Step-by-step explanation:
To solve the problem we need to know the distance between the tallest building in the town and the statue.
This distance can be calculated with the formula of the distance between two points:
d = sqrt(dx^2 + dy^2), where dx is the difference in x-coordinate between the points and dy is the difference in y-coordinate between the points.
So, the distance between these points is:
dx = 5-2 = 3
dy = 1-5 = -4
d = sqrt(3^2 + (-4)^2) = sqrt(9+16) = 5 miles
The distance is 5 miles, so as it is inside the range of 7 miles, the statue can be seen from this point.
Answer:
2√11
Step-by-step explanation:
The square of the hypotenuse (h) of the smaller triangle is given by the Pythagorean theorem:
h² = 6² +8² = 100
The length of x is given by that same theorem:
h² +x² = 12²
x² = 12² -h² = 144 -100 = 44 . . . . . subtract h², fill in its value
x = √44 . . . . . . . . take the square root
x = 2√11 . . . . . . . simplify the root
15-12-8+4-6+1=
3-8+4-6+1=
-5+4-6+1=
-1-6+1=
-7+1=
-6=
The Answer is -6
Answer:
$172,806.37.
Step-by-step explanation:
Total = [ P(1+r/n)^(nt) ] + [ PMT × (((1 + r/n)^(nt) - 1) / (r/n)) ] * (1 + r/n)
is the formula for the amount left after the first 7 years where the money is deposited at the beginning of each month and P = initial amount, PMT = monthly payment, r = rate as a decimal and t = time in years.
Total after the first 7 years
= [ 200(1+0.09/12)^(7*12) ] + [ 200 × (((1 + 009/12)^(7*12) - 1) / (0/09/12) ] * (1 + 0.09/12)
= 374.64 + (200 * 0.8732019633) / (0.09/12) * (1 + 0.09/12)
= 374.64 + 23485.386 * 1.0075
= $24.036.17
Total after a further 22 years:-
= 24.036.17(1 + 0.09/12)^(12*22)
= $172,806.37 (answer).
