-mn^2-5m^2/(5m-2)(m+4n)
if I did it correctly
(a)
We can see that
this is a straight line
and this is the graph of velocity
we know that
acceleration is the derivative of velocity
so, slope of curve of velocity is acceleration
so, we will find slope of this line
We can select any two points
(0,4) and (5,7)
we can use slope formula
now, we can plug points
we know that slope of line is always constant irrespective of any value of t
so, acceleration will always be same irrespective of any value of t
so, we will get acceleration
............Answer
(b)
we can see that acceleration is constant
and we know that
derivative of constant is always 0
so, instantaneous rate of acceleration at t=10s is 0........Answer
Answer:
Option D
Step-by-step explanation:
To calculate compound interest we will use the formula :
Where,
A = Amount on maturity
P = Principal amount = $3000
r = rate of interest = 8.4% = 0.084
n = number of compounding period = Monthly = 12
t = time = 1 year
Now put the values in the formula.
=
= 3000(1.007)¹²
= 3000 × 1.08731066
= 3261.93198 ≈ $3261.93
While the other bank compounds interest daily.
Therefore, n = 365
Now put the values in the formula with n = 365
= 3000 × 1.08761958
= 3262.85874 ≈ $3262.86
Difference in the ending balance = 3262.86 - 3261.93
= $0.93
The difference in the ending balances of both CDs after one year would be $0.93.
Answer:
Step-by-step explanation:
Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem, we get
⇒
⇒
⇒
⇒
Thus, the length of altitude is: 12 cm.
Now,
⇒
⇒
Also,
⇒
⇒
Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.
Answer:
2xy^2
Step-by-step explanation:
8/4=2
x^3/x^2=x
y^5/y^3=y^2