Let be the weight of i-th player.
1. If the mean weight of 4 backfield members on the football team is 221 lb, then
2. If the mean weight of the 7 other players is 202 lb, then
3. From the previous statements you have that
Add these two equalities and then divide by 11:
Answer: the mean weight of the 11-person team is
Answer:
It would take 5.9 years to the nearest tenth of a year
Step-by-step explanation:
The formula of the compound continuously interest is A = P , where
∵ Serenity invested $2,400 in an account
∴ P = 2400
∵ The account paying an interest rate of 3.4%, compounded continuously
∴ r = 3.4% ⇒ divide it by 100 to change it to decimal
∴ r = 3.4 ÷ 100 = 0.034
∵ The value of the account reached to $2,930
∴ A = 2930
→ Substitute these values in the formula above to find t
∵ 2930 = 2400
→ Divide both sides by 2400
∴ =
→ Insert ㏑ in both sides
∴ ㏑() = ㏑(
)
→ Remember ㏑() = n
∴ ㏑() = 0.034t
→ Divide both sides by 0.034 to find t
∴ 5.868637814 = t
→ Round it to the nearest tenth of a year
∴ t = 5.9 years
∴ It would take 5.9 years to the nearest tenth of a year