The speed of a boat in still water (b) is 50km/h. It takes the same time (t) for the boat to travel 10km (x) upstream as it does to travel 20km (y) downstream. Find the speed of the current.
upstream speed (u) = speed in still water (b) - stream speed (s) = b-s = 50-s
downstream speed (d) = speed in still water (b) + stream speed (s) = 50+s
time (t) = x/u = y/d
10/(50-s) = 20/(50+s)
10(50+s) = 20(50-s)
500 + 10s = 1000 - 20s
30s = 500
stream speed (s) = 500/30 = 16.6 km/h
Solution:
We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).
<u>Finding the radius of the circle.</u>
- Diameter: 10 units
- Radius: 10/2 units = 5 units
<u>Creating the equation:</u>
- (x – h)² + (y – k)² = r²
- => (x + 6)² + (y – 2)² = 5²
The equation is (x + 6)² + (y – 2)² = 5².
Learn more: brainly.com/question/26573763
Answer:
$1556.88
Step-by-step explanation:
<em>Since Stephanie is earning </em><u><em>simple interest</em></u><em> and not compound interest, we can multiply her interest rate for each month by how many months we are calculating for.</em>
0.035 x 5 = 0.175
<em>Then multiply that by her current balance but change the </em><em>0</em><em> in front of the </em><em>0.175</em><em> to a </em><em>1</em><em> to reduce the number of steps we have to take. (It automatically adds what is earned in interest to her current balance.)</em>
1.175 x 1325 = 1556.875
Answer:
the value of x will be -12.....