Answer:
$104.70
Step-by-step explanation:
The equation would be set up like this: 80.45 + 20.50(3) - 37.25. You started off with $80.45 in your bank account and deposited, or added, $20.50 every day on Tuesday, Wednesday and Thursday. That would mean you added $20.50 three times. Adding $80.45 + $20.50 + $20.50 + $20.50, simplified to $80.45 + $20.50(3) would get you $141.95 in total. Then, on Friday, you withdraw $37.25, getting the equation $141.95 - $37.25, leaving $104.70 for the weekend.
The height of the baseball going upwards is 35.77 ft
<u>Explanation:</u>
Given:
initial velocity, u = 48 ft/s
Height, h = ?
If the ball is thrown in the air, then the final velocity of the ball will be 0 as the ball later comes to rest.
Acceleration of the ball will be acceleration due to gravity
g = 9.8 m/s²
g = 32.2 ft/s²
We know,
(v)² - (u)² = 2gh
(0)² - (48)² = 2 X 32.2 X h
2304 = 64.4 X h
Therefore, height of the baseball going upwards is 35.77 ft
Answer:
<em>(-3, -1)</em>
Step-by-step explanation:
Given the system of equation
y=1/3x-2
y=-3x – 12
Since both equations are y values, we will equate then=m to each other as shown;
1/3x - 2 = -3x - 12
x/3 + 3x = -12 + 2
(x+9x)/3 = -10
x+9x = -30
10x = -30
x = -30/10
x = -3
Substitute x = 3 into equation 1;
From 1: y=1/3x-2
y=1/3(3)-2
y = 1 - 2
y = -1
<em>Hence the required solution (x, y) is (-3, -1)</em>
Answer:
Step-by-step explanation:
Standard form for equation of line: y = mx + c
where m = gradient or slope
c = y-intercept
From the question we know that,
x = 2
y = 3
m = - 0.5
We will substitute these values into the equation to find c.
3 = (-0.5)(2) + c
3 = - 1 + c
c = 3 + 1 = 4
Therefore the equation of this line is
Total time taken by Jon was 4.5 hours
Time taken by Sam was 5.5 hours
This implies that John traveled faster than Sam because he took shorter time to get to the camp, thus we conclude that from the given information, the correct answer is:
Sam and Jon traveled at the same rate of speed to camp.