An empty tank is filled from a cold water pipe for six minutes and then from a hot water pipe for four minutes. The volume, V li
ters, of water in the tank after t minutes is given by the function
(a) Find the volume of water in the tank at
(i) t = 0, (ii) t = 6, (iii) t = 10.
(b) Draw the graph of the function for 0 S t S 10.
(a) Find the volume of water in the tank at
(i) t = 0, (ii) t = 6, (iii) t = 10.
(b) Draw the graph of the function for 0 S t S 10.
1 answer:
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Answer:
y = -0.2x + 8
Step-by-step explanation:
To write a linear function, calculate the rate of change of the gallon of water leaving the tank and the starting level.
The function will describe the number of gallons over time or (time, gallons).
This means the function has data points (1, 7.8) and (9, 6.2).
Use the rate of change or slope formula to calculate it.
This means that for the formula y = mx+b then m = -0.2.
This also means that after losing 0.2 gallons the first hour it was at 7.8. So the starting value is 8 gallons.
The equation is y = -0.2 x + 8.
If a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%
The annual interest rate = 23%
The credit card interest rate the amount you have to pay to borrow the money from them. The credit card interest rate is usually expressed in yearly rate. This is called annual percentage rate.
The monthly interest rate =
=
= 1.0174
Then,
= (1.0174-1) × 100%
Subtract the terms first
= 0.0174 × 100%
Multiply it
= 1.74%
Hence, if a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%
Learn more about annual percentage rate here
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