The rule of 72 is used to determine how long it will take an investment to . For an investment of $5,000 earning 7% annually, this will take about years.

10.3 years

Step-by-step explanation:

The Rule of 72 is a rule used to determine the period of time it would take an investment to double at a given fixed annual rate of return. The rule of 72 helps investors to have an estimate of how long an initial investment would double. The rule of 72 is given by the formula:

t = 72 / r

where r is the annual rate of return and t is the approximate time in years required for the investment to double.

t = 72 / r

Given that r = 7%

t = 72 / r = 72 / 7 = 10.3 years

Therefore it would take 10.3 years for an investment of $5,000 earning 7% annually to double to about $10,000

you already gave the answer

step-by-step explanation:

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.