Sung Lee invests $3,000 at age 18. He hopes the investment will be worth $6,000 when he turns 25. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.

10.4%

Step-by-step explanation:

Sung Lee invests $3,000 at age 18.

He hopes the investment will be worth $6,000 when he turns 25, that is, after 7 years.

The interest compounds (Compound Interest). The formula for the final amount in a compound interest is:

where P = Principal (Amount invested) = $3000

A = final amount = $6000

R = rate

T = number of years = 7 years

This implies that:

Find the 7th root of 2:

=> R = 10.4%

Hence, the rate would need to be 10.4% for him to achieve his goal.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2