In the inequality x>9, x represents the number of restaurants along a street. Is 9 a possible value of x Explain
1 answer:
You might be interested in
For this case we have that by definition, the point-slope equation of a line is given by:
Where:
m: It's the slope
It is a point through which the line passes
According to the statement data we have:
Substituting we have:
By law of signs of multiplication we have to:
Answer:
The requested equation is:
Answer:
Part A)
About $3767.34.
Part B)
About $3692.47.
Step-by-step explanation:
Part A)
Recall that compound interest is given by the formula:
Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.
To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.
Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.
Substitute and solve for <em>P: </em>
<em />
In concluion, about $3767.34 should be deposited.
Part B)
Recall the formula for continuous compound:
Where <em>e</em> is Euler's number.
Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>
<em />
In conclusion, about $3692.47 should be deposited.
This question is incomplete and it lacks an attached graph. Find attached to this answer, the appropriate graph.
Complete Question
Carmen and Matt are conducting different chemistry experiments in school. In both experiments, each student starts with an initial amount of water in a flask. They combine two chemicals which react to produce more water. Carmen's experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second. Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second. The graph represents the volume of water in the two flasks in relation to time. Which two conclusions can be made if f represents the volume of water in Carmen's flask and g represents the volume of water in Matt's flask? a) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [0, 2].
b) The volume of water in Carmen's flask is increasing at a faster rate than the volume of water in Matt's flask over the interval [6, 8].
c) The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.
d) The volume of water in Matt's flask will eventually be greater than the volume of water in Carmen's flask.
e) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].
Answer:
c) The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.
e) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].
Step-by-step explanation:
Looking at the graph, the average rate of change is given as [0,2], [4,6], and [6,8].
From the graph and question, we can tell that Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second
Which would gives us:
28% of 10 milliliter of water = 2.8 millimeters per second.
For Carmen , his experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second,
Because, Carmen starts with 30 milliliters of water in his flask, the volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.
Secondly, comparing the quantity as which the volume of the flask increases per second, at the interval of [4, 6], the volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval
