Volume = Length x width x height
Volume = 5 1/2 x 3 x 3 = 49.5 cubic feet
Answer:
The stone will be in flight for 3 seconds
Step-by-step explanation:
Given the equation;
d = -16t^2 + vt + h
Where;
v = the initial velocity
h = the initial height
Given;
v = 48 ft/s
h = 0
Substituting into function d;
d = -16t^2 + 48t + 0
d = -16t^2 + 48t
At the point of launch and the point of landing d = 0.
We need to calculate the values of t for d to be equal to zero.
d = -16t^2 + 48t = 0
-16t^2 + 48t = 0
Factorising, we have;
16(-t+3)t = 0
So,
t = 0 or -t+3 = 0
t= 0 or t =3
Change in t is;
∆t = t2 - t1 = 3 - 0
∆t = 3 seconds.
The stone will be in flight for 3 seconds.
Given:
Matthew's bank lent him $8,000 for four years at an interest rate of 6 percent, compounded annually.
To Find:
The total amount that Matthew's bank will receive after 4 years.
Answer:
The total amount the bank will receive after 4 years is $10,099.8
Step-by-step explanation:
The principal amount 'P' lent to Matthew is $8000
The time period 't' is 4 years
The lending rate 'r' is 6%
As the interest is compounded annually, we use the Compound Interest formula to calculate the amount the bank will receive 'A' after 4 years.
The formula we use is
Thus, the total amount the bank will receive after 4 years is $10,099.8
6r+7=13+7r
Move 7r to the other side. Sign changes from +7r to -7r.
6r-7r+7=13+7r-7r
6r-7r+7=13
-r+7=13
Move +r to the other side. Sign changes from +7 to -7.
-r+7-7=13-7
-r=6
Multiply by -1 to get positive and for 6
-r(-1)=6(-1)
r=-6
Answer: r=-6
