The average cost when producing x items is found by dividing the cost function, C(x), by the number of items, x. When is the ave
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Answer
Let t be number of minutes since tap is opened
water is increased by 20 gallons of water per minute.
sugar increase rate of 3 pounds per minute
water :- W(t) = 350 + 10 t
sugar :- S(t) = 10 + 3 t
concentration
C(t) =
at t = 15 minutes
C(15) =
C(15) =
C(15) = 0.11
at beginning t = 0 minutes
C(0) =
C(0) =
C(0) = 0.0286
C(15) > C(0)
hence, concentration is increasing as time is passing.
The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
<h3>How to calculate compound interest's amount?</h3>If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
The final amount becomes:
For the considered case, we're given that:
- Initial amount Laura deposited = $5,500 = P
- Type of interest: Compound interest
- Unit of time: Annually
- Rate of interest = 1.6% annually = R
- Total unit of time for which amount is to be calculated: 4 years = T
The final amount at the end of 4 years in the considered account of Laura is evaluated as:
Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
Learn more about compound interest here: