You invested $12,000 and earned 7.5% interest, which was compunded continuously. If you had $23,568.40 at the end of the investment, how long was the investment for?

9 years

Step-by-step explanation:

Formula for continuous compounding is;

Total amount after the compounding period = P + P[(e^(rt)) - 1]

Where;

P = principal

r is interest rate

t is time period of compounding

We are given;

P = $12,000

Interest rate; r = 7.5% = 0.075

Time; t =?

Amount after investment; $23,568.40

Thus;

23568.40 = 12000(1 + [(e^(0.075t)) - 1])

(1 + [(e^(0.075t)) - 1]) = 23568.40/12000

[(e^(0.075t)) - 1] = (23568.40/12000) - 1

[(e^(0.075t)) - 1] = 0.964

(e^(0.075t)) = 1 + 0.964

(e^(0.075t)) = 1.964

0.075t = In 1.964

0.075t = 0.67498

t = 0.67498/0.075

t = 9 years

i don't know, but that looks pretty bad. my school passed us unless we failed in all the subjects, but idk abt ur school's rules.

copyright potato 2019.

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a