The general equation for exponential decay characterized by a half-life (T) is expressed as N(t) = N_0(1/2)^(t/T), where N(t) signifies the amount remaining at time t, N_0 stands for the initial amount (at t=0), and T denotes the half-life of the substance. The half-life of carbon-14 is about 5,730 years. When starting with 6 mg of carbon-14, the equation for the remaining amount after t years would be established.
To determine the future value of an initial amount of $845 at an interest rate of 11.3% over 7 years, we will utilize the compound interest formula, which is expressed as:
A=p(1+r/100)^n
where:
A=future value
r=rate=11.3%=0.113
time=7 years
Hence, the future value of the capital will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82
Malcolm's remaining distance is roughly
1370 - 470 - 430 = 470
This coincides with selection...
D) 470 miles
Distance formula:

5 units-4.5 units=0.5 units
Segment LM exceeds segment JK by 0.5 units.
Let
s--------> denote the cube's side length
We know that
the volume of a cube is calculated as

if the side length s measures 
then

and thus, the volume is defined as


This leads us to conclude
the correct option is
D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.