The law of radioactive decay is n(t) = n0e-λt, where n0 is the number of radioactive nuclei at t = 0, n(t) is the number remaining at time t, and λ is a quantity known as the decay constant. what is the dimension of λ? (t = time)

The units of lambda (λ) would be the reciprocal of the units that are used for half life.

For example, if the half life is in days, then the units of λ are 1/days.

If the units of half life are years, then the units of λ are 1/years.

Source: 1728.com/halflif2.htm

0.02040816326

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.