Answer:
7374
0.
Step-by-step explanation:
a^r = a1 * r^(n-1)
So, the terms are:
2*(3)^(8-1) = 4374
and
0*(1/2)^-1/2 = 0
Answer: The scale is 5cm/m (5 cm in the drawing are equivalent to 1 meter on the actual pit)
Step-by-step explanation:
When we have an original measure M, and we redraw it with a new scale, where the new measure is m, the scale used is equal to:
scale = m/M.
In this case, we know that:
The pit is 3m, by 5m
and the drawing to scale is 15cm by 25cm
(15cm is the rescaled version of the 3m side, and 25cm is the rescaled version of the 5m side)
Using the equation above, we can find that the scale is:
Scale = 15cm/3m = 5cm/m
and, if we use the other side, we get:
Scale = 25cm/5m = 5cm/m
Both calculations give the same scale, as expected.
Then the scale is 5cm/m, which means that 5 centimeters in the drawing are equivalent to one meter in the real pit.
Answer:
$5,100
Step-by-step explanation:
total amount of the loan: $13,600
part paid: 
The question is how much of the $13,600 does the that they already paid represent.
For this we need to multiply by 13,600 :
we found that three eighths of $13,600 is equal to $5,100.
Thus they have paid off $5,100 of the loan.
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons of water left. At what rate is the water leaking? Express your answer as a positive value. The water is leaking at the rate of ____ gal/min
