Answer:In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m • 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axi
Step-by-step explanation:
Answer:
1600/49
Step-by-step explanation:
5 5/7 = 40/7
40/7 * 40/7 = 1600/49
<u>Answer:</u>
a) 3.675 m
b) 3.67m
<u>Explanation:</u>
We are given acceleration due to gravity on earth =
And on planet given =
A) <u>Since the maximum</u><u> jump height</u><u> is given by the formula </u>
Where H = max jump height,
v0 = velocity of jump,
Ø = angle of jump and
g = acceleration due to gravity
Considering velocity and angle in both cases
Where H1 = jump height on given planet,
H2 = jump height on earth = 0.75m (given)
g1 = 2.0 and
g2 = 9.8
Substituting these values we get H1 = 3.675m which is the required answer
B)<u> Formula to </u><u>find height</u><u> of ball thrown is given by </u>
which is due to projectile motion of ball
Now h = max height,
v0 = initial velocity = 0,
t = time of motion,
a = acceleration = g = acceleration due to gravity
Considering t = same on both places we can write
where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations
substituting h2 = 18m, g1 = 2.0 and g2 = 9.8
We get h1 = 3.67m which is the required height
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 63000
r = 2.55% = 2.55/100 = 0.0255
n = 12 because it was compounded 12 times in a year.
Therefore, function, C(t), that represents the amount of money in the account t years after the account is opened is
C(t) = 63000(1 + 0.0255/12)^12t
C(t) = 63000(1.002125)^12t
For C(t) = 100000,
100000 = 63000(1.002125)^12t
100000/63000 = (1.002125)^12t
1.587 = 1.002125)^12t
Taking log of both sides
Log 1.587 = log 1.002125)^12t
Log 1.587 = 12tlog 1.002125)^
0.2005 = 12t × 0.00092
0.2005 = t × 0.01104
t = 0.2005/0.01104
t = 18.16 years