Answer:
3
Step-by-step explanation:
3x(6+3)=27, shed have 1 inch left over
<span>68=-16t2+64t+8
16t2-64t+60=0
4t2-16t+15=0
(2t-5)(2t-3)=0
t=5/2 or 3/2
The object is at 68 feet after 3/2 secs, and returns to 68 feet after another second..</span>
Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24 ----- eqn 1
x + 4y = 8 -------- eqn 2
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12 = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
The formula for simple annual interest is:
I = Prt
where,
I = Interest accumulated = $910.90
P = Principal Amount = $62000
r = Interest rate = 9.4% = 0.094
t = time in years
Using the values in above equation, we get:
910.90 = 62000 x 0.094 x t
⇒ t = 910.90/(62000 x 0.094) = 0.156
This is the time in years. Since there are 365 days in a year, the time in days will be:
t = 0.156 x 365 = 57 (rounded to nearest day)
This means, Nate kept the borrowed money for 57 days
Answer:
d=483t
Step-by-step explanation:
If i recall correctly
distance = velocity * time
This means that
d=483t
