Answer:
f(x)= 10,000(2)^x
Step-by-step explanation:
Exponential equations can be modeled by a(r)^x where a is the initial amount, r is the difference, and x is how many units the equation should be squared by.
In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is
2√5 units.
Attached below is the calculation to arrive at the answer as well as a graph.
Answer:
8.75%
Step-by-step explanation:
If she pays $135 eight times then she pays a total of 135 x 8 = $1080.
She had a down payment of $225, so that added on becomes $1305.
1305/1200 is 1.0875, which is an increase of 0.0875 over the original.
0.0875 x 100 = 8.75% increase.
Step-by-step explanation:
3x² - 8x + 4 =
3x² - 6x -2x + 4 =
3x(x-2) -2(x-2) =
(3x -2)(x-2)
Answer:
0.6 °C/min
Step-by-step explanation:
The relationship between rates and movement is ...
time = distance/speed
Here, the "distance" is measured in °C, and the "speed" is the rate of change of temperature.
For the first half of the heating, the time required is ...
(50°C -0°C)/(1.5 °C/min) = 50/(3/2) min = 100/3 min
For the second half of the heating, the time required is ...
(100°C -50°C)/(4/10 °C/min) = 50/(4/10) = 125 min
Then the total time is ...
((100/3) +125) min = (475/3) min
And the average rate of temperature increase is ...
total temperature change / total time
= (100°C -0°C)/(475/3 min) = 300/475 °C/min = 12/19 °C/min ≈ 0.6 °C/min
