Answer:
(a) Number of inches that have burned from the candle since it was lit is (1.1t) inches
(b) The remaining length of the candle is (16 - 1.1t) inches
Step-by-step explanation:
(a). Length of candle before it was lit = 16 inches
Constant rate at which at which candle burns = 1.1 inches per hour
Let t represent the number of hours that have elapsed since the candle was lit
In 1 hour, 1.1 inches of the candle burned
Therefore, in t hours, (1.1t) inches of the candle would have burned since the candle was lit
(b) Remaining length of candle = length of candle before it was lit - length of candle that have burned = 16 inches - 1.1t inches = (16 - 1.1t) inches
Answer:
x= 76, y = 63 z, 104
Step-by-step explanation:
We can find x since the three angles of a triangle add to 180 degrees
46+58+x = 180
104+x =180
Subtract 104 from each side
x = 180-104
x = 76
x and z form a straight line
x+z =180
76+ z = 180
Subtract 76 from each side
z = 180-76
z = 104
Z, 13 and y make a triangle
z+ 13 +y = 180
104+13+y = 180
117+y=180
Subtract 117 from each side
y = 180-117
y = 63
Y=2.50x+20. Plug in values for x starting at 0 and you will get values for y and then graph.
Answer:
a) 
b) The population increases 7.1% each year.
Step-by-step explanation:
The continuous population growth model is given by:
In which 
is the population after t years, 
is the initial population and r is the growth rate.
In this problem, we have that:
A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.
This means that 
a) Write a function to model the population increase.
b) By what percent does the populaiion increase each year?
So the population increases 7.1% each year.
