Answer:
9.1 minutes.
Step-by-step explanation:
Let t represent time taken to fill the tank.
We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be
.
The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be
.
The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be
.
The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:

Make a common denominator:









Therefore, it will take 9.1 minutes to fill the sink.
1. 2.6 x 10^-2, 6.2 x 10^-1, 3.5 x 10^2, 1.5 x 10^4
2.6 x 10^-2, 6.2 x 10^-1, 3.5 x 10^2, 1.5 x 10^4
2.6 x 10^-2, 6.2 x 10^-1, 3.5 x 10^2, 1.5 x 10^4
2.6 x 10^-2, 6.2 x 10^-1, 3.5 x 10^2, 10^4, 1.5 x 10^4
2. 6^5
3. 9^9
Linear because y= 1 - x makes a straight line
Answer:
The future value of P at interest rate r compounded n times per year for t years is ...
FV = P(1 +r/n)^(nt)
4000 = P(1 +.08/4)^(4·10)
P = 4000·1.02^-40 ≈ 1811.56
$1811.56 must be deposited now in order to have $4000 in 10 years.
Step-by-step explanation:
Multiply each term in the parentheses by 2x:-
= 12x^3 + 8x^2 - 6x Answer