No that would be cheating
Answer:
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:
![A = P(1 + R)^T](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20R%29%5ET)
where P = Principal (Amount invested) = $3000
A = final amount = $6000
R = rate
T = number of years = 7 years
This implies that:
![6000 = 3000(1 + R)^7\\\\\frac{6000}{3000} = (1 +R)^7\\\\2 = (1 + R)^7](https://tex.z-dn.net/?f=6000%20%3D%203000%281%20%2B%20R%29%5E7%5C%5C%5C%5C%5Cfrac%7B6000%7D%7B3000%7D%20%3D%20%281%20%2BR%29%5E7%5C%5C%5C%5C2%20%3D%20%281%20%2B%20R%29%5E7)
Find the 7th root of 2:
![\sqrt[7]{2} = (1 + R)\\\\1.104 = (1 + R)\\\\=> R = 1.104 - 1\\\\R = 0.104](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B2%7D%20%3D%20%281%20%2B%20R%29%5C%5C%5C%5C1.104%20%3D%20%281%20%2B%20R%29%5C%5C%5C%5C%3D%3E%20R%20%3D%201.104%20-%201%5C%5C%5C%5CR%20%3D%200.104)
=> R = 10.4%
Hence, the rate would need to be 10.4% for him to achieve his goal.
Answer:
Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.
Step-by-step explanation:
Which is more economical?
Whichever situation has the lowest price per kilogram.
3 kilograms for $3.15
3.15/3 = $1.05 per kilogram.
720 grams for 60c
0.6/0.72 = $0.83 per kilogram.
Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.
I think u identify by multiplying them together
Answer:
25.1
Step-by-step explanation:
the volume of a cone is V=πr^2(h
/3)